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Polynomial

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


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Light-weight key update mechanism with blacklisting based on secret sharing algorithm in wireless sensor networks
Freescale Semiconductor, Inc.
November 09, 2017 - N°20170324715

Various embodiments include a network manager for managing network keys in a network having a plurality of nodes, the device including: a memory; and a processor configured to: determine n nodes to blacklist, wherein n is an integer; select a polynomial function from a plurality of polynomial functions of degree k and wherein the polynomial functions define plurality of secret ...
Public key cryptosystem based on partitioning of galois field elements
Pq Solutions Limited
November 09, 2017 - N°20170324554

A post-quantum, public key cryptosystem is described which is polynomial based and where the private key polynomial has coefficients from a sub-set of galois field elements and plain text message polynomials have coefficients from a second sub-set of galois field elements. The public key polynomial is constructed using the inverse of the private key polynomial and a randomly chosen polynomial ...
Systems and methods using digital predistortion to linearize radio transmitter operation
Meteorcomm Llc
November 09, 2017 - N°20170324384

A method of linearizing a relationship between a signal to an amplifier and an output signal from the amplifier includes applying an inverse of a transfer function of the amplifier to the signal prior to presenting the signal as the amplifier input. The inverse transfer function is represented by a polynomial defined by a set of coefficients. The transmitter output ...
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Non-malleable obfuscator for sparse functions
Meteorcomm Llc
November 02, 2017 - N°20170316214

Described is a system for obfuscating a computer program. Sensitive data of an unprotected computer program is received as input. A random oracle is used to algebraically hide a set of polynomial-size point functions representing the sensitive data. The system outputs a set of obfuscated instructions internally hiding the sensitive data. The set of obfuscated instructions are used to transform ...
Circuitry and methods for implementing galois-field reduction
Meteorcomm Llc
November 02, 2017 - N°20170315781

Galois-field reduction circuitry for reducing a galois-field expansion value, using an irreducible polynomial, includes a plurality of memories, each for storing a respective value derived from the irreducible polynomial and a respective combination of expansion bit values, wherein expansion bits of the expansion value address the plurality of memories to output one or more of the respective values. The galois-field ...
Single-pass and multi-pass-based polynomial approximations for reshaping functions
Dolby Laboratories Licensing Corporation
October 26, 2017 - N°20170308996

A processor for approximating a reshaping function using a multi-segment polynomial receives an input reshaping function. Given a number of target segments (n) and an initial maximum fitting error, in a first pass, it applies a first smoothing filter to the input reshaping function to generate a first smoothed reshaping function. Next, it generates a first multi-segment polynomial approximation of ...
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Evaluating polynomials in hardware logic
Imagination Technologies Limited
October 26, 2017 - N°20170308355

An accurate implementation of a polynomial using floating-point or other rounded arithmetic can be generated using a plurality of hardware logic components which each implement an input polynomial such that the zeros in the input polynomial can be determined correctly. The number of different hardware logic components that are used can be reduced by analysing the set of input polynomials ...
Off-axis three-mirror optical system with freeform surfaces
Imagination Technologies Limited
October 05, 2017 - N°20170285313

The tertiary mirror is located on a secondary mirror reflected light path. The detector located on a tertiary mirror reflected light path. The primary mirror and the tertiary mirror have a same fifth-order polynomial freeform surface expression. The primary mirror reflected light path, the secondary mirror reflected light path and the tertiary mirror reflected light path overlap with each other.
Off-axis three-mirror optical system with freeform surfaces
Hon Hai Precision Industry Co., Ltd.
October 05, 2017 - N°20170285312

An off-axis three-mirror optical system with freeform surfaces comprised an aperture, a primary mirror, a secondary mirror, a tertiary mirror, and a detector. The aperture is located on an incident light path. The primary mirror is located on an aperture side. The secondary mirror is located on a primary mirror reflected light path. The tertiary mirror is located on a ...
Lighting device
Artemide S.p.a.
September 28, 2017 - N°20170276321

A lighting device, in particular a led lighting device, comprises at least one light source and a reflector extending along and around a longitudinal axis and having an internal reflective surface arranged so as to intercept at least part of the light emitted by the light source and reflect said part towards a light exit opening; the internal reflective surface ...
Ophthalmic apparatus with corrective meridians having extended tolerance band by modifying refractive powers in uniform ...
Abbott Medical Optics Inc.
September 28, 2017 - N°20170273780

The embodiments disclosed herein include improved toric lenses and other ophthalmic apparatuses (including, for example, contact lens, intraocular lenses (iols), and the like) and associated method for their design and use. The apparatus includes one or more optical zones, including an optical zone defined by a polynomial-based surface coincident at a plurality of meridians having distinct cylinder powers, wherein light ...
Ophthalmic apparatus with corrective meridians having extended tolerance band with freeform refractive surfaces
Abbott Medical Optics Inc.
September 28, 2017 - N°20170273778

The embodiments disclosed herein include improved toric lenses and other ophthalmic apparatuses (including, for example, contact lens, intraocular lenses (iols), and the like) that includes a freeform-polynomial surface area that establishes a band of operational meridian for the apparatus to an intended correction meridian. The freeform-polynomial surface area is defined by a mathematical expression comprising a combination of one or ...
Fault-tolerant aggregation of encrypted data in a star network
Palo Alto Research Center Incorporated
September 21, 2017 - N°20170272246

One embodiment provides a system that facilitates encrypted-domain aggregation of data in a star network. During operation, the system receives a set of ciphertexts, representing respective encrypted polynomial shares, of an input value from each participant in a plurality of participants. Each ciphertext in the set of ciphertexts is associated with a specific participant in the plurality of participants. The ...
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Instructions and logic to provide general purpose gf(256) simd cryptographic arithmetic functionality
Intel Corporation
September 21, 2017 - N°20170272237

Instructions and logic provide general purpose gf(28) simd cryptographic arithmetic functionality. Embodiments include a processor to decode an instruction for a simd affine transformation specifying a source data operand, a transformation matrix operand, and a translation vector. The transformation matrix is applied to each element of the source data operand, and the translation vector is applied to each of the ...
Method of determining lineal parameters of a transmission line
Commissariat A L'energie Atomique Et Aux Energies Alternatives
September 21, 2017 - N°20170269137

A method for determining at least one lineal parameter of a transmission line comprises the following steps: determining at least one measurement of the complex propagation factor γ as a function of frequency on the basis of at least one measurement carried out on the transmission line, determining at least one measurement of the lineal attenuation α of ...
Data generation apparatus, data recording system, and program product
Ricoh Company, Ltd.
September 14, 2017 - N°20170264442

A data generation apparatus includes a processor that executes a process including obtaining target data sequentially from time-series data, the target data including n (n being an integer greater than or equal to 2) data items in a predetermined section of the time-series data, calculating parameter information satisfying a (k−1) order polynomial based on the target data, the (k−1) ...
Data processing system, data processing apparatus, and data processing method
Ricoh Company, Ltd.
September 14, 2017 - N°20170264441

A data processing apparatus includes a memory storing a program and a processor configured to execute the program to implement a process of reading signed data including a predetermined number (n) of secret sharing data sets generated for each section of time series data and a signature value calculated for the each section of time series data based on a ...
Decoding device, information transmission system, decoding method, and non-transitory computer readable medium
Fuji Xerox Co., Ltd.
September 14, 2017 - N°20170264319

A decoding device receives transmission data obtained by scrambling according to a polynomial xa+xb+1 where a and b are each an integer, a>b, and a≠2b. The decoding device includes a receiving unit, an error detecting unit, and a correcting unit. The receiving unit receives data obtained by performing scrambling for a block in which ...
Ecc circuit, storage device and memory system
Fuji Xerox Co., Ltd.
September 14, 2017 - N°20170264318

Thereby calculating syndromes s and z. An error position polynomial coefficient calculation circuit calculates the coefficient of an error position polynomial to obtain s×z by multiplying s and z by one multiplier. After that, 2-bit error data positions i and j are specified. Errors at the error data positions i and j of the input data are corrected.
Controller for rotary electric machine drive apparatus
Mitsubishi Electric Corporation
September 14, 2017 - N°20170264232

There is provided a controller for a rotary electric machine drive apparatus capable of reducing data-processing load and amount of memories required for a data processing which calculates a voltage command value of the converter which reduces power loss. A controller calculates the required minimum voltage which is required in the case of performing a maximum torque/current control is ...
Triangulation device, triangulation method, and recording medium recording program therefor
Nec Corporation
September 07, 2017 - N°20170254637

A triangulation device for computing a three-dimensional position of a measurement target point using a stereo method, the triangulation device includes: optimum image coordinate estimation unit configured to, based on coordinates of corresponding points corresponding to the measurement target point in two images each of which including an image of the measurement target point, and intrinsic parameters and extrinsic parameters ...
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