Date/App# 
List of recent Polynomialrelated patents 
09/18/14 20140282942  Privacy preserving knowledge and factor possession tests for persistent authentication Example implementations described herein are directed to authentication based on the user's private factors, while not revealing at the server side information allowing the server (or anyone with the server's information) to deduce the private answers. In example implementations, the user answers a questionnaire with authentication factors, wherein the answers are transformed in a oneway fashion and the transformed answers are provided to the server side. 
09/18/14 20140281839  Error and erasure decoding apparatus and method Embodiments of apparatus and methods for decoding errors and erasures are described. A codeword may have errors and erasures. 
09/18/14 20140281569  Biometric authentication method and computer system A biometric authentication method for a computer system, the computer system comprising: a computer; and an authentication server, the biometric authentication method including steps of: extracting a first feature from the captured biometric information; generating a template polynomial for enrollment; extracting a second feature from the captured biometric information; generating a template polynomial for authentication; generating a correlation function for calculating a correlation between the template polynomial for authentication and the enrolled template polynomial; calculating a correlation value between the template polynomial for authentication and the enrolled template polynomial by using the generated correlation function, and determining based on the calculated correlation value whether or not the biometric information at the time of authentication coincides with the biometric information enrolled.. . 
09/18/14 20140278301  System and method for generating a parallel processing approximation model A parallel processing approximation model is automatically generated via a method including generating a time complexity search table including a plurality of columns and rows, each header of the column defining a polynomial which defines the algorithmic time complexity or overhead time complexity, and each row within the column defining the respective polynomial for a plurality of dataset divisions or size multiplications. The method further includes generating a comparison column and determining an approximation column having the highest algorithmic time complexity values that do not exceed the time complexity comparison column.. 
09/18/14 20140273902  Quadrature error correction using polynominal models in tone calibration One example embodiment provides a system, apparatus, and method for using polynomial models in tone calibration for quadrature error correction in i/q receivers. In one example embodiment, method for calibrating an i/q receiver is provided and includes receiving a first mismatch parameter indicating a mismatch between i and q channels of the i/q receiver; and estimating a second mismatch parameter from the first mismatch parameter using a polynomial model.. 
09/18/14 20140269841  Ultrawideband frequency position modulation using nonlinear compressed sensing A frequency position modulation system for encoding signals for transmission. A signal's discrete frequency support is used to represent symbols. 
09/11/14 20140258796  Determination of optimum threshold voltage to read data values in memory cells An adaptive search scheme leads to threshold voltages that have lower bit error rates over initial values. An initial reference voltage is used and data is measured for set steps in voltage about the initial value sufficient to fit a polynomial curve. 

09/11/14 20140254730  Reducing electromagnetic radiation emitted from highspeed interconnects Systems and methods reduce electromagnetic interference from high speed data carried by wired interconnects with a radio receiver for at least one protected radio frequency band. A spectral encoder changes the encoding of the high speed data to modify its frequency spectrum and reduce its spectral in the protected frequency band. 
09/11/14 20140254716  Power amplifier system including a composite digital predistorter A power amplifier system including a composite digital predistorter (dpd) ensuring optimized linearity for the power amplifier is described. In this system, a digitaltoanalog converter (dac), an analog filter, a first mixer, and the power amplifier are serially coupled to the composite dpd. 
09/11/14 20140254640  Decorrelating training pattern sequences between lanes in highspeed multilane links and interconnects Methods, apparatus and systems for decorrelating training pattern sequences for highspeed links and interconnects. The highspeed links and interconnects employs multiple lanes in each direction for transmitting and receiving data, and may be physically implemented via signal paths in an interplane board such as a backplane or midplane, or via a cable. 
09/11/14 20140253878  Ophthalmic systems and related methods Systems and methods for modifying an eye including a light source with light elements, a photodetector producing a signal representing images of the light elements and corresponding to locations on an ocular surface, an optical system directing light from the light elements reflected by the ocular surface onto the photodetector, a memory including code for processing the signal, and a processor for executing the code and outputting shape data for use in calculating a treatment plan for the eye. The code includes instructions for determining the shape data based on a combination of zonal reconstruction and polynomial fitting using the plurality of images.. 
09/04/14 20140247174  Asynchronous to synchronous sampling using modified akima algorithm A method, comprising: selecting two twotuples before and two after a selected synchronous adc conversion point; calculating the coefficients of a third order polynomial based on the value of the previous time asynchronous sample, the time differences between each of the asynchronous samples surrounding the selected sample, and the three linear slopes of the line segments between the two points before and the points after the selected synchronous sample point, including the slope of the selected point; evaluating the third order polynomial at the synchronous time instant; generating the synchronous adc value based on this calculation; and using the adc value as the desired voltage level of the synchronous sample, wherein the synchronous adc value is generated based on this calculation.. . 
09/04/14 20140247173  Asynchronous to synchronous sampling using akima algorithm A method, comprising: selecting three twotuples before and three after a selected synchronous adc conversion point; calculating the coefficients of a third order polynomial based on the value of the previous time asynchronous sample, the time difference between the asynchronous samples surrounding the selected sample, and the five linear slopes of the line segments between the three points before and the points after the selected synchronous sample point, including the slope of the selected point; evaluating the third order polynomial at the synchronous time instant; generating the synchronous adc value based on this calculation; and using the adc value as the desired voltage level of the synchronous sample, wherein the synchronous adc value is generated based on this calculation.. . 
08/28/14 20140245101  Semiconductor memory According to one embodiment, a semiconductor memory includes a memory cell unit, an encoding circuit that generates a first parity and a second parity for data, and a decoding circuit that performs error correction by using the data, the first parity, and the second parity, the first parity is generated by using a first generation polynomial for the data, the second parity is generated by using a second generation polynomial for the input data and the first parity, the second generation polynomial is selected based on the first generation polynomial, the data and the first parity is output to the outside, and the second parity is not output to the outside.. . 
08/28/14 20140245099  Memory controller, storage device and memory control method According to one embodiment, a memory controller includes an encoding unit that executes an error correction coding process on inputdata and generates a code word, a calculation control unit that controls whether to execute a multiplication calculation of a multiplication circuit, and a memory interface unit that controls writing of the code word to the memory and reading of the code word from the memory, and the encoding unit includes a remainder circuit that performs a remainder calculation on the inputdata using a first generator polynomial and generates a first code word having a first error correction capability and a first multiplication circuit that performs a multiplication calculation on the first code word using a second generator polynomial and performs a multiplication calculation of generating a second code word having a second error correction capability.. . 
08/28/14 20140241407  Measurement of dc offsets in iq modulators Described are systems and methods of determining dc offset voltages in iq modulators. First, two different dc test voltages are selected for one of the inputs to the iq modulator. 
08/28/14 20140241384  Method of synchronizing a communication system A method of synchronizing a time division duplex (tdd) multiline, multicarrier data communication system is provided. Synchronization is established using unique pseudorandom bit sequences (prbs) from a common generator polynomial having different seed values. 
08/14/14 20140229807  Instructionset architecture for programmable cyclic redundancy check (crc) computations A method and apparatus to perform cyclic redundancy check (crc) operations on a data block using a plurality of different nbit polynomials is provided. A flexible crc instruction performs a crc operation using a programmable nbit polynomial. 
08/14/14 20140229789  Ldpc design for high parallelism, low error floor, and simple encoding A method of data encoding is disclosed. An encoder receives a set of information bits and performs an ldpc encoding operation on the set of information bits to produce a codeword based on a matched lifted ldpc code. 
08/14/14 20140229741  Dual composite field advanced encryption standard memory encryption engine A different set of polynomials may be selected for encryption and decryption accelerators. That is, different sets of polynomials are used for encryption and decryption, each set being chosen to use less area and deliver more power for a memory encryption engine. 
08/14/14 20140229517  Automatic computer program obfuscation system A computer program obfuscating system including a processor to provide a computer program including at least one computer program variable, and add an opaque predicate to the computer program to obfuscate the computer program so that the opaque predicate added to the computer program comprises at least one polynomial including a polynomial p, during execution of the obfuscated computer program, the polynomial p is evaluated yielding at least one result including a first result r1, and during execution of the obfuscated computer program, the opaque predicate is evaluated based on the at least one result r1 such that a decision as to whether or not to perform the first command is dependent upon comparing the first result r1 to at least one value in accordance with a predetermined mathematical relationship. Related apparatus and methods are also included.. 
08/14/14 20140226788  Method for the radiological investigation of an object A method of identifying the material content of an object comprises: providing a radiation source and a radiation detector; irradiating a test object with radiation from the source; collecting at the detector system intensity data for radiation emergent from the test object; resolving the intensity data spectroscopically between a plural set of energy bands; numerically processing the spectroscopically resolved intensity data via the following steps: considering a material attenuation coefficient as a plural set of energy dependent polynomial equations in atomic number with a set of energy dependent coefficients across the said plural set of energy bands; determining a measured attenuation coefficient at each said energy band; calculating therefrom one or more orders of compound proton number and/or effective mass thickness and/or density and for example a compound proton number set comprising plural order powers and preferably plural higher order powers of weighted compound atomic number.. . 
08/14/14 20140226231  Adaptive softoutput detector for magnetic tape read channels In one embodiment, a method includes passing a signal through an adaptive noise whitening filter, wherein one or more noise whitening coefficients used in the noise whitening filter are updated using a noise whitening filter coefficient updater, wherein the noise whitening filter is configured to process the signal according to a transfer polynomial: w(d)=1−(p1d+ . . 
08/14/14 20140226230  Adaptive softoutput detector for magnetic tape read channels In one embodiment, a method includes passing a signal through a noise whitening filter, passing the signal through a soft detector to calculate first soft information, passing the signal through the soft decoder to calculate second soft information based on the first soft information, and sending the second soft information to the soft detector, wherein the noise whitening filter is configured to process the signal according to the following transfer polynomial: w(d)=1−(p1d+ . . 
08/07/14 20140223193  Signature verification apparatus, signature verification method, program, and recording medium A signature verification apparatus including a signature acquisition unit configured to acquire a digital signature including first information generated based on a pair of multiorder multivariate polynomials f=(f1, . . 
08/07/14 20140222883  Math circuit for estimating a transcendental function A math circuit for computing an estimate of a transcendental function is described. A lookup table storage circuit has stored therein several groups of binary values, where each group of values represents a respective coefficient of a first polynomial that estimates the function to a high precision. 
08/07/14 20140219653  Modified orthogonal polynomials based hybrid codedmodulation for multitb/second optical transport A system and method for transmitting data, including one or more low density parity check (ldpc) encoders configured to encode one or more streams of input data; a signal constellation generation module configured to generate one or more signal constellations; one or more modulators configured to generate one or more signals using hybrid multidimensional coded modulation; a modified orthogonal polynomial generation module configured to generate modified orthogonal polynomials for use as electrical basis functions; and one or more modemultiplexers and transmitters configured to modemultiplex and transmit one or more ldpccoded data streams over a transmission medium.. . 
08/07/14 20140218704  High na (numerical aperture) rectangular field euv catoptric projection optics using tilted and decentered zernike polynomial mirror surfaces A catoptric system for euv lithography includes six freeform reflective surfaces that are specified based on fringe zernike polynomials. Each of the surfaces is tilted and/or decentered in a meridian plane and with respect to a common axis so that image and object planes are parallel. 
07/31/14 20140215293  Transmission apparatus and transmission method An encoding method and encoder of a timevarying ldpccc with high error correction performance are provided. In an encoding method of performing low density parity check convolutional coding (ldpccc) of a time varying period of q using a parity check polynomial of a coding rate of (n−1)/n (where n is an integer equal to or greater than 2), the time varying period of q is a prime number greater than 3, the method receiving an information sequence as input and encoding the information sequence using equation 1 as a gth (g=0, 1, . 
07/31/14 20140215222  Information processing apparatus, information processing method, and program Provided an information processing apparatus including a number generation unit configured to generate numbers used in coefficients of terms included in a pair of multiorder multivariate polynomials f=(f1, . . 
07/24/14 20140208110  Information processing apparatus, signature generation apparatus, signature verification apparatus, information processing method, signature generation method, and signature verification method Provided is an information processing apparatus including a message generation unit configured to generate a message based on a pair of quadratic multivariate polynomials f=(f1, . . 
07/24/14 20140205088  Information processing apparatus and information processing method Provided is an information processing apparatus including a message generating unit that generates a message based on a multiorder multivariate polynomial set f=(f1, . . 
07/24/14 20140205087  Information processing apparatus, information processing method, program, and recording medium Provided is an information processing apparatus including a message generating unit that generates messages of n times (where n≧2) based on a multiorder multivariate polynomial set f=(f1, . . 
07/24/14 20140204082  Systems and methods for 3d data based navigation using a watershed method Systems and methods for 3d data based navigation using a watershed method are provided. In at least one embodiment, a method for segmenting threedimensional frames of data comprises acquiring at least one frame from at least one sensor, wherein the at least one frame provides a threedimensional description of an environment containing the at least one sensor; and identifying a surface in the at least one frame. 
07/17/14 20140198864  Polynomial phases for multicarrier modulation schemes with time domain windowing In one aspect, a method includes performing a mapping on bits to form a complex data symbol, applying a frequency rotation mask to the complex data symbol based on a polynomial phase, performing an inverse discrete fourier transform (idft) after applying the frequency rotation mask, applying a time domain window after performing the idft, converting digital data to analog data after applying the time window and transmitting the analog data as an analog signal.. . 
07/10/14 20140195881  Bosechaudhurihocquenghem (bch) decoder A decoder for decoding a set of bits encoded using a bosechaudhurihocquenghem (bch) errorcorrecting code (ecc) includes a syndrome generator, a key equation solver, and an error bit locator. The syndrome generator receives the set of encoded bits and generates a set of syndromes. 
07/10/14 20140195242  Prosody generation using syllablecentered polynomial representation of pitch contours The present invention discloses a parametrical representation of prosody based on polynomial expansion coefficients of the pitch contour near the center of each syllable. The said syllable pitch expansion coefficients are generated from a recorded speech database, read from a number of sentences by a reference speaker. 
07/10/14 20140195193  Displacement detecting device and scale A scale has marks whose pitch interval changes along a measurement direction in a manner that can be approximated to a quadratic or higherorder polynomial. A comparing unit calculates a difference between first relative position information and second relative position information per unit displacement in a position where a first displacement detecting unit is arranged. 
07/10/14 20140192981  Information processing apparatus, signature generation apparatus, information processing method, signature generation method, and program Provided is an information processing apparatus including a random number generation unit configured to generate a pair of random numbers from a seed, a message generation unit configured to generate a message based on a pair of multiorder multivariate polynomials f=(f1, . . 
07/10/14 20140191894  Threedimensional positioning method A threedimensional positioning method includes establishing the geometric model of optical and radar sensors, obtaining rational function conversion coefficient, refining the rational function model and positioning the threedimensional coordinates. Most of the radar satellite companies and part of the optical satellite only provide satellite ephemeris data, rather than the rational function model. 
07/03/14 20140189361  Nformation processing apparatus, signature generation apparatus, information processing method, signature generation method, and program Provided is an information processing apparatus including a message generation unit that generates a message based on a pair of multiorder multivariate polynomials f=(f1, . . 
07/03/14 20140188818  Optimizing a partition in data deduplication For optimizing a partition of a data block into matching and nonmatching segments in data deduplication using a processor device in a computing environment, an optimal calculation operation is applied in polynomial time to the matching segments for selecting a globally optimal subset of a set of matching segments according to overhead considerations for minimizing an overall size of a deduplicated file by determining a trade off between a time complexity and a space complexity.. . 
07/03/14 20140185794  Encryption processing apparatus and method A device that uses homomorphic encryption is disclosed. The device obtains a first encrypted polynomial, a second encrypted polynomial, a first encrypted weight, and a second encrypted weight by respectively encrypting a first polynomial, a second polynomial, a first weight, and a second weight by using a homomorphic encryption scheme, and obtains an encrypted secure distance corresponding to encryption of a secure distance.. 
06/26/14 20140176955  Inspection methods, inspection apparatuses, and lithographic apparatuses A method for determining overlay error includes measuring asymmetry of radiation reflected from each of a plurality of targets on a substrate. The plurality of targets include a predetermined overlay offset. 
06/26/14 20140174674  Method for controlling a screen, and actuator suitable for such a method A screen (1) includes a load bar (2), a flexible element (3) supporting the load bar, and a controlled member (4) for winding the flexible member, wherein the member is controlled according to a method that includes controlling the angular movement of the winding member (4) with a temporal set value (θ(t)) of the instantaneous angular position of the winding member, the temporal set value being predetermined from a profile representative of the desired instantaneous axial position for the load bar upon a movement between the first and second positions, using a polynomial function of a degree higher than or equal to 2, which approximates the relation between a value of the instantaneous axial position (h(t)) of the load bar and an instantaneous angular position (γ(t)) of the winding member (4).. . 
06/19/14 20140168005  Pulse radar ranging apparatus and ranging algorithm thereof A pulse radar ranging apparatus and a ranging algorithm thereof are provided. The pulse radar ranging apparatus includes a radio frequency pulse generator, a radio frequency filter, a radio frequency switch and a transceiver aerial. 
06/12/14 20140164884  Highperformance ecc decoder Methods for error correction code (ecc) decoding include producing syndromes from a set of bits, which represent data that has been encoded with the ecc. An error locator polynomial (elp) is generated based on the syndromes. 
06/12/14 20140164780  Information processing apparatus, signature providing method, signature verifying method, program, and recording medium An information processing apparatus including a message generating unit that generates n sets of messages based on a multiorder multivariate polynomial set f=(f1, . . 
06/12/14 20140160451  Substrate reference image creation method, substrate defect inspection method, substrate reference image creation apparatus, substrate defect inspection unit and nontransitory computer storage medium In the present invention, a planar distribution of pixel values in a pickedup substrate image is decomposed into a plurality of pixel value distribution components through use of a zernike polynomial for each of substrate images; zernike coefficients of the pixel value distribution components decomposed through use of the zernike polynomial are calculated; a median value and values deviated from the median value by a predetermined value or more are extracted for every zernike coefficients having a same couple of degrees from the calculated zernike coefficients; substrate images having the extracted values are specified; and a substrate image being a defect inspection reference is created by combining the specified substrate images.. . 
06/05/14 20140153717  Information processing apparatus, information processing method, program, and recording medium Provided an information processing apparatus including a message generation unit that generates a message based on a pair of multiorder multivariate polynomials f=(f1, . . 
06/05/14 20140152967  Sourcecollector module wth gic mirror and lpp euv light source A sourcecollector module for an extreme ultraviolet (euv) lithography system, the module including a laserproduced plasma (lpp) that generates euv radiation and a grazingincidence collector (gic) mirror arranged relative thereto and having an input end and an output end. The lpp is formed using an lpp target system wherein a pulsed laser beam travels onaxis through the gic and is incident upon solid, moveable lpp target. 
06/05/14 20140152476  Data encoding methods, data decoding methods, data reconstruction methods, data encoding devices, data decoding devices, and data reconstruction devices In an embodiment, a data encoding method may be provided. The data encoding method may include: inputting data to be encoded; determining a polynomial so that an evaluation of the polynomial at a sum of a first supporting point of the polynomial and a second supporting point of the polynomial corresponds to the sum of an evaluation of the polynomial at the first supporting point and an evaluation of the polynomial at the second supporting point, wherein coefficients of the polynomial are determined based on the data to be encoded; and generating a plurality of encoded data items by evaluating the polynomial at a plurality of supporting points.. 
05/29/14 20140148078  Interactive talking toy A method and system for wireless communication are disclosed. The method comprises: the master device generates a sequence code through a specific encoder and transmits the sequence code to each slave device continuously within a preset period according to the communication demand, wherein the specific encoder is a feedback shift register constructed by a specific polynomial, of which the coefficients and the order are in correlation with the communication demand while all of the coefficients and initial values are not equal to 0 at the same time; the preset period is greater than or equal to the sum of a sleeping period and a detecting period of the slave device, which constitutes a sleepingandwaking cycle; the slave device receives a continuous section of the sequence code in the detecting period, decodes the sequence code through a decoder corresponding to the encoder, and performs corresponding operation according to the decoding result.. 
05/15/14 20140136931  Errorcorrecting decoder Provided is an errorcorrecting decoder including: a syndrome generation unit for calculating, as a syndrome, coefficients of a residual polynomial that are obtained by dividing received data by a generator polynomial; information bit error pattern generation unit for generating all error patterns of information bits; a check bit error pattern generation unit for calculating, for each of the error patterns of the information bits, an error pattern of check bits based on the syndrome value; and an error correction unit for correcting the error pattern generated for a combination of codes having a weight of the error patterns of the information bits and the check bits smaller than a threshold value.. . 
05/15/14 20140136921  Encoding method, decoding method An encoding method generates an encoded sequence by performing encoding of a given coding rate according to a predetermined parity check matrix. The predetermined parity check matrix is a first parity check matrix or a second parity check matrix. 
05/15/14 20140136843  Information processing apparatus and information processing method Provided is an information processing apparatus including a message generating unit that generates a message based on a multiorder multivariate polynomial set f=(f1, . . 
05/15/14 20140135972  Control module for deposition of optical thin films The deposition controller controls a coating machine used in the deposition of the thin film coatings. The deposition controller is particularly useful for the deposition of multiple layers or codeposition of multiple materials. 
05/15/14 20140135919  Freeform progressive multifocal refractive lens for cataract and refractive surgery A new type of multifocal lens that has a freeform progressive multifocal front surface consisting of a 16th order polynomial superimposed on a standard conic base surface is described. The center region of the lens is optimized for distance vision, while simultaneously optimizing the rest of the lens for near vision. 
05/15/14 20140132960  Nearnull compensator and figure metrology apparatus for measuring aspheric surfaces by subaperture stitching and measuring method thereof A variable nearnull compensator for measuring aspheric surfaces by subaperture stitching includes a pair of counterrotating cgh phase plates, each of the phase plates having a phase function including two terms z5 and z7 of zernike polynomials. The phase plates are mounted on a pair of precision rotary centerthrough tables, wherein rotational axes of the pair of precision rotary centerthrough tables coincide with the optical axes of the phase plates. 
05/08/14 20140126328  Methods and systems for improving microseismic event detection and location Methods and systems for location and/or direction of a hypocenter. The methods may involve one or more of: a) computing a joint probability density function (pdf) which includes polarization pdf and onset time pdf or a time integral of product of detection transforms to estimate the location and/or direction of a hypocenter, where the polarization pdf is generated using a weighted average of differences between measured and computed polarizations; b) computing a time integral of product of modified detection transforms associated with onset times from received data in coalescence microsesimic mapping where modified detection transform is defined as (ε, fd(t)−1); c) resolving 180 degree ambiguities in polarization estimated according to hodogram; d) using polynomial interpolation to tune the location of a hypocenter; and e) computing an integration time interval of 4d (t,x,y,z) pdf or product of modified detection transform and the restriction on grid nodes.. 
05/08/14 20140125519  Methods for encoding and recovering gnss ephemeris for overtheair transmission A method and apparatus for processing and transmitting precise orbit predictions of satellites in a global navigation satellite system such as navstargps which employs curve fitting techniques and a polynomial and sinusoidal model to encode ephemerides, and particularly ephemerides of durations 6 hours or longer, in order to minimize bandwidth requirements overtheair and nvram storage requirements. The methods also apply to gnss constellations such as galileo or glonass. 
05/01/14 20140122552  Flexible prbs architecture for a transceiver An apparatus is provided. The apparatus comprises a polynomial register having a plurality of bits, a first bus, a second bus, and a transceiver that is coupled to the first bus, the second bus, and the polynomial register. 
05/01/14 20140119413  Flexible scrambler/descrambler architecture for a transceiver An apparatus is provided. A polynomial register having a plurality of bits is provided, where the polynomial register is configured to store a userdefined polynomial. 
05/01/14 20140118704  Mobile device, case and attachment with retractable optic A retractable optic conditionally redirects an image from a scanning laser projector. The retractable optic may be coupled to a mobile device, a mobile device case, or may be part of an attachment. 
05/01/14 20140118171  Coordinate compression using polynomials A method for compressing a plurality of coordinates includes obtaining a plurality of approximatelyzero polynomials of dimension dim for a plurality of coordinate parameters. The method further includes selecting dim+1 nonapproximatelyzero polynomials, and providing a compressed data set that includes the approximatelyzero polynomials, the dim+1 nonapproximatelyzero polynomials, and evaluations of the selected dim+1 nonapproximatelyzero polynomials based on the coordinates.. 
04/24/14 20140115429  Method and apparatus for convolutional coding to support multiplexing in a wideband communications system An approach for encoding a physical layer (pl) header of a pl data frame is provided. The pl header comprises sixteen information bits ui, (i=0, 1, 2, . 
04/24/14 20140112340  Source, relay, and destination executing cooperation transmission and method for controlling each thereof A method for controlling a first node transmitting a transmission message to a plurality of second nodes may be provided. The method includes dividing the transmission message into at least one submessage, encoding the at least one submessage to a data stream, determining a first transmission direction of the data stream toward at least one of the plurality of second nodes, based on a polynomial of a channel gain between the first node and the at least one of the plurality of second nodes, and transmitting the data stream to the at least one of the plurality of second nodes, based on the determined first transmission direction.. 
04/24/14 20140111836  Color uniformity correction using a scanner Techniques for correcting the color uniformity of a laser printer of a digital press or other device are provided. A process for correcting the color uniformity of a laser printer may include scanning a test page by an inline scanner of a digital press, determining scanner signal data from the test page, determining a scanner polynomial fitted to the scanner signal data, and determining a nonuniform coverage polynomial from the scanner polynomial. 
04/17/14 20140108895  Error correction code circuit and memory device including the same The ecc circuit includes a chien search unit configured to determine whether there is an error in each bit of a data sequence. The chien search unit selects a coefficient of a nonlinear term from among terms of an error locator polynomial as a nonlinear coefficient, separates the error locator polynomial into a first location equation including only linear terms and a second location equation including only nonlinear terms, determines a third location equation by dividing the first location equation by the nonlinear coefficient, determines a fourth location equation by dividing the second location equation by the nonlinear coefficient, and determines whether there is an error for each of the bits by performing an xor operation on a result of the third location equation using the substitution value and a result of the fourth location equation using an arbitrary element of the error locator polynomial as a substitution value.. 