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Polynomial

Polynomial-related patent applications - as published by the U.S. Patent and Trademark Office (USPTO).


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Method for characterization of a layered structure
Globalfoundries, Inc.
July 13, 2017 - N°20170199139

In an embodiment, a method comprises fitting a spectroscopic data of a layer in a layered structure to a dielectric function having a real part and an imaginary part; confirming that the dielectric function is physically possible; based on the dielectric function not being physically possible, repeating the fitting the spectroscopic data, or, based on the dielectric function being physically ...
Method and apparatus for efficiently implementing the advanced encryption standard
Intel Corporation
July 06, 2017 - N°20170195116

Implementations of advanced encryption standard (aes) encryption and decryption processes are disclosed. In one embodiment of s-box processing, a block of 16 byte values is converted, each byte value being converted from a polynomial representation in gf(256) to a polynomial representation in gf((22)4). Multiplicative inverse polynomial representations in gf((22)4) are computed for each of the corresponding polynomial representations in gf((22)4). Finally ...
Error locator polynomial decoder and method
Western Digital Technologies, Inc.
June 29, 2017 - N°20170187391

A decoder includes an error locator polynomial generator circuit configured to determine, during a first cycle of a clock signal, a first value of a parameter. The first value of the parameter is associated with a first iteration of a decode operation and is based on a value of an error locator polynomial associated with a prior iteration of the ...
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Two-dimensional piecewise approximation to compress image warping fields
Dolby Laboratories Licensing Corporation
June 22, 2017 - N°20170178288

Techniques to pre-warp an image based on an image warping map comprising a number of cells where each cell corresponds to a polynomial approximation for a number of corresponding pixels to be warped are described. An image warping map can be generated by partitioning a per pixel warping map into cells and approximating the pixel movements of each cell with ...
System and method for controlling multiple electric drives
Ford Global Technologies, Llc
June 22, 2017 - N°20170174097

An electric vehicle includes a plurality of electric drive units coupled to one or more axles of the electric vehicle. The drive units have an associated power loss map that is approximated by a plurality of second-order polynomials. Torque is apportioned between the electric drive units to minimize total power losses based on coefficients of the second-order polynomials for each ...
Scattering and reflection identification system and method
University Of Rochester
June 15, 2017 - N°20170168149

A method of forming an image of a region of interest using a pulse-echo imaging device is described. The method includes the steps of transmitting a pulse, discriminating an echo of the pulse by comparison to a plurality of hermite polynomials, and determining a color for display based on the comparison. A system for forming an image of a region ...
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Optimal index selection in polynomial time
Oracle International Corporation
June 08, 2017 - N°20170161324

A method for performing analysis may use a minimal set of indices for an input query including identifying the input query including primitive searches that are accelerated using indices, computing a minimal set of indices for the input query using an optimal, polynomial-time algorithm, and performing relational data analysis using the minimal set of indices for input queries.
System and method to control the operation of transmission using engine fuel consumption data
Allison Transmission, Inc.
June 08, 2017 - N°20170159802

A system and method of controlling the operation of a transmission using fuel consumption data. The system and method includes controlling the operation of a vehicle transmission which is operatively connected to an engine having operating characteristics and operatively connected to a transmission control module having access to a memory. Fuel consumption data for an engine is converted to engine ...
Device for determining a shared key
Koninklijke Philips N.v.
June 01, 2017 - N°20170155510

A first device (300) configured to determine a shared key with a second device (350). In cryptography, a key-agreement protocol is a protocol whereby two or more parties that may not yet share a common key can agree on such a key. The first device comprising a private correction function (Λa( ), and a private univariate key polynomial (372, ga( ). From the ...
Transmission circuit for ultrasonic diagnosis and method for transmitting ultrasonic wave
Sii Semiconductor Corporation
June 01, 2017 - N°20170150946

A transmission circuit for ultrasonic diagnosis includes a delay processing circuit that delays a transmission signal pattern and an operational circuit that calculates a delay time. A transmission timing for supplying the transmission signal pattern to a plurality of piezo electric elements corresponding to a plurality of channels is approximated by a multi-dimensional polynomial with locations of the plurality of ...
Flexible polynomial-based interleaver
Sii Semiconductor Corporation
May 25, 2017 - N°20170149452

Techniques are disclosed relating to circuitry configured to interleave data, e. G., for use to process error correcting codes for wireless data transmission. In some embodiments an apparatus includes one or more circuit elements configured to receive input data samples, a plurality of polynomial coefficients, a start index, and information indicating a window size for non-sequential traversal of interleaver indices. ...
Efficient two party oblivious transfer using a leveled fully homomorphic encryption
Sii Semiconductor Corporation
May 25, 2017 - N°20170147835

A querying node generates public keys, secret keys, and switch key matrices. A public key associated with a first level and the switch key matrices are sent to a receiving node. The receiving node generates a key-value table, mapping values to keys, and encodes the keys and values using a polynomial ring of a predetermined type. The querying node encodes ...
Gas turbine engine
Sii Semiconductor Corporation
May 25, 2017 - N°20170147741

A method of manufacturing a gas turbine engine including designing a row of vanes provided upstream of an asymmetric gas flow volume. The method includes two dimensionally optimising camberline and stagger angle of each vane, including using orthogonal polynomials to modify the camberline and stagger angle of each vane.
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Identification method of an entity
Safran Identity & Security
May 18, 2017 - N°20170142103

The present invention relates to a biometric identification method of an entity comprising computation of a matching value between biometric data of an entity u and reference biometric data u′, by application of a function f to said biometric data by performing a non-interactive, publicly verifiable computation method comprising: representation of said function in the form of an arithmetic ...
Generating cryptographic checksums
Telefonaktiebolaget Lm Ericsson (publ)
May 18, 2017 - N°20170141918

A method (500) of generating a cryptographic checksum for a message m(x) is provided. The method comprises pseudo-randomly selecting (502) a generator polynomial p(x) from the set of polynomials of degree n over a galois field and calculating (504) the cryptographic checksum as a first function g of a division of a second function of m(x), ƒ(m(x)), modulo ...
Fully homomorphic encryption from monoid algebras
Certsign S.a.
May 11, 2017 - N°20170134158

A blueprint that produces a family of fhe schemes given any homomorphic monoidal encryption scheme. The ciphertext space is a subspace of the monoid algebra over f2 generated by the initial encryption monoid. The method can be generally applied to any monoid encryption schemes. Advantageously, monoid encryption schemes produce efficient fhe schemes with the inventive blueprint. Furthermore, the corresponding fhe ...
Homomorphic encryption with optimized encoding
Microsoft Technology Licensing, Llc
May 11, 2017 - N°20170134157

The techniques and/or systems described herein are directed to improvements in homomorphic encryption to improve processing speed and storage requirements. For example, the techniques and/or systems can be used on a client device to encode data to be sent to a remote server, to be operated on while maintaining confidentiality of data. For example, data including a real ...
Coding method, decoding method, coder, and decoder
Sun Patent Trust
May 11, 2017 - N°20170134047

An encoding method of generating an encoded sequence by performing encoding of a given encoding rate based on a predetermined parity check matrix. The predetermined matrix is either a first parity check matrix or a second parity check matrix. The first parity check matrix corresponds to a low density parity check (ldpc) convolutional code that uses a plurality of parity ...
Polynomial mixture for frequency domain multiuser channel estimation and tracking in a wireless communication network
Collision Communications, Inc.
May 04, 2017 - N°20170126438

Methods and systems for obtaining improved channel estimates for frequency-multiplexed data transmissions such as ofdm, ofdma, or sc-fdma transmissions overcome the limitations of the static assumption by using a polynomial or other fitting function to fit and model the frequency dependence of the channel coefficients, so that estimates can be applied to larger subcarrier groups. Some embodiments provide channel estimates ...
Error correction
Infineon Technologies Ag
May 04, 2017 - N°20170126253

A circuit arrangement for determining a correction signal on the basis of at least one bit error of a binary word is specified, including a plurality of subcircuits (st), wherein a respective subcircuit is provided for a bit position to be corrected of the binary word, wherein each of the subcircuits provides at least two locator polynomial values, and comprising ...
Systems and methods for service demand based performance prediction with varying workloads
Tata Consultancy Services Limited
April 27, 2017 - N°20170116034

Systems and methods for service demand based performance prediction with varying workloads are provided. Chebyshev nodes serve as optimum number of load testing points to minimize polynomial interpolation error rates. Chebyshev nodes are identified for a pre-determined range of concurrencies in the application under test. An array of interpolated service demands at the chebyshev nodes, when integrated with a modified ...
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