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Class Information
Number: 708/492
Name: Electrical computers: arithmetic processing and calculating > Electrical digital calculating computer > Particular function performed > Arithmetical operation > Galois field
Description: Subject matter where the arithmetical operations are performed on a 2 m element finite arithmetic field.










Patents under this class:
1 2 3 4 5 6 7

Patent Number Title Of Patent Date Issued
7113968 Method and apparatus for efficiently performing Galois field multiplication Sep. 26, 2006
7111032 Residue computing device Sep. 19, 2006
7089276 Modular Galois-field subfield-power integrated inverter-multiplier circuit for Galois-field division over GF(256) Aug. 8, 2006
7085988 Hashing system utilizing error correction coding techniques Aug. 1, 2006
7082452 Galois field multiply/multiply-add/multiply accumulate Jul. 25, 2006
7079650 Computing method for elliptic curve cryptography Jul. 18, 2006
7069287 Method for efficient computation of odd characteristic extension fields Jun. 27, 2006
7039854 Method and apparatus for performing syndrome computation in a decoder of a forward error correction (FEC) system May. 2, 2006
7010738 Combinational circuit, and encoder, decoder and semiconductor device using this combinational circuit Mar. 7, 2006
7003538 Process and apparatus for finite field multiplication (FFM) Feb. 21, 2006
7003537 Apparatus and method to compute in Jacobian of hyperelliptic curve defined over Galois field of characteristic 2 Feb. 21, 2006
6995692 Data converter and method thereof Feb. 7, 2006
6988118 Systolic product-sum calculator over multi-basis in GF(2m) Jan. 17, 2006
6978415 Variable redundancy cyclic code encoders Dec. 20, 2005
6968493 Randomizer systems for producing multiple-symbol randomizing sequences Nov. 22, 2005
6968354 Tamper-resistant modular multiplication method Nov. 22, 2005
6963644 Multi-word arithmetic device for faster computation of cryptosystem calculations Nov. 8, 2005
6963979 Cryptographic accelerator Nov. 8, 2005
6957243 Block-serial finite field multipliers Oct. 18, 2005
6928601 Decoding circuit, and decoder, decoding method and semiconductor device that use the decoding circuit Aug. 9, 2005
6920473 Method and apparatus for modular multiplying and calculating unit for modular multiplying Jul. 19, 2005
6917957 Method and apparatus for performing modular division using counters Jul. 12, 2005
6917218 Serial finite field multiplier Jul. 12, 2005
6912558 MULTIPLICATION MODULE, MULTIPLICATIVE INVERSE ARITHMETIC CIRCUIT, MULTIPLICATIVE INVERSE ARITHMETIC CONTROL METHOD, APPARATUS EMPLOYING MULTIPLICATIVE INVERSE ARITHMETIC CIRCUIT, AND CRYPTOGRA Jun. 28, 2005
6895545 System and method for generating cyclic codes for error control in digital communications May. 17, 2005
6880121 Parallel processing syndrome calculating circuit and reed-solomon decoding circuit Apr. 12, 2005
6820105 Accelerated montgomery exponentiation using plural multipliers Nov. 16, 2004
6795553 Method and apparatus for modular inversion for information security and recording medium with a program for implementing the method Sep. 21, 2004
6778666 Cryptographic method using construction of elliptic curve cryptosystem Aug. 17, 2004
6779011 System for performing multiplication and division in GF(22M) Aug. 17, 2004
6779014 Cyclic step by step decoding method used in discrete fourier transform cyclic code of a communication system Aug. 17, 2004
6772184 Method for efficient modular division over prime integer fields Aug. 3, 2004
6766344 Processing Galois Field arithmetic Jul. 20, 2004
6766493 Method and apparatus for generating and checking cyclic redundancy code (CRC) values using a CRC generator and binary galois field multiplier Jul. 20, 2004
6766345 Galois field multiplier system Jul. 20, 2004
6760742 Multi-dimensional galois field multiplier Jul. 6, 2004
6735611 Arithmetic processor May. 11, 2004
6725415 Arithmetic unit performing cyclic redundancy check at high speed Apr. 20, 2004
6721771 Method for efficient modular polynomial division in finite fields f(2 m) Apr. 13, 2004
6704901 Runtime programmable Reed-Solomon decoder Mar. 9, 2004
6701336 Shared galois field multiplier Mar. 2, 2004
6687725 Arithmetic circuit for finite field GF (2m) Feb. 3, 2004
6671850 On-the-fly algebraic error correction system and method for reducing error location search Dec. 30, 2003
6671709 Multiplier cell and method of computing Dec. 30, 2003
6668267 Device and method for the implementation of an elementary modular operation according to the Montgomery method Dec. 23, 2003
6665405 Cyclotomic polynomial construction of discrete logarithm cryptosystems over finite fields Dec. 16, 2003
6636882 Means and method for performing multiplication Oct. 21, 2003
6611597 Method and device for constructing elliptic curves Aug. 26, 2003
6609142 Method of performing multiplication with accumulation in a Galois body Aug. 19, 2003
6587864 Galois field linear transformer Jul. 1, 2003

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