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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
6101520 Arithmetic logic unit and method for numerical computations in Galois fields Aug. 8, 2000
6052704 Exponentiation circuit and inverter based on power-sum circuit for finite field GF(2.sup.m) Apr. 18, 2000
6049815 Method and apparatus for finite field multiplication Apr. 11, 2000
6044389 System for computing the multiplicative inverse of a field element for galois fields without using tables Mar. 28, 2000
6044390 Recursive lookahead-based 2.sup.n -bit serial multipliers over Galois Field GF (2.sup.m) Mar. 28, 2000
6038581 Scheme for arithmetic operations in finite field and group operations over elliptic curves realizing improved computational speed Mar. 14, 2000
6038577 Efficient way to produce a delayed version of a maximum length sequence using a division circuit Mar. 14, 2000
6035317 Modular arithmetic coprocessor comprising two multiplication circuits working in parallel Mar. 7, 2000
6029186 High speed calculation of cyclical redundancy check sums Feb. 22, 2000
6026420 High-speed evaluation of polynomials Feb. 15, 2000
6014767 Method and apparatus for a simple calculation of CRC-10 Jan. 11, 2000
6009450 Finite field inverse circuit Dec. 28, 1999
6003057 Galois field arithmetic logic unit circuit Dec. 14, 1999
5999953 Method for the production of a parameter J.sub.o associated with the implementation of a modular operation according to the Montgomery method Dec. 7, 1999
5999959 Galois field multiplier Dec. 7, 1999
5987489 Modular arithmetic coprocessor enabling the performance of non-modular operations at high speed Nov. 16, 1999
5978955 Methods and apparatus for error correction using an R-Q calculator Nov. 2, 1999
5974582 High-speed chien search logic Oct. 26, 1999
5964826 Division circuits based on power-sum circuit for finite field GF(2.sup.m) Oct. 12, 1999
5948051 Device improving the processing speed of a modular arithmetic coprocessor Sep. 7, 1999
5931894 Power-sum circuit for finite field GF(2.sup.m) Aug. 3, 1999
5914969 Device and method for error correcting coding, and device and method for error correcting decoding Jun. 22, 1999
5905664 Circuit for determining, in parallel, the terms of a remainder that results from dividing two binary polynomials May. 18, 1999
5890800 Method and device for the division of elements of a Galois field Apr. 6, 1999
5887006 Methods and apparatus for error correction Mar. 23, 1999
5854759 Methods and apparatus for efficient finite field basis conversion Dec. 29, 1998
5822233 Digital arithmetic calculator and digital computer using non-redundant (2N+1) notation system with a radix of (2N+1) Oct. 13, 1998
5812438 Arithmetic logic unit and method for numerical computations in galois fields Sep. 22, 1998
5787028 Multiple bit multiplier Jul. 28, 1998
5777916 Method for the production of an error correction parameter associated with the implementation of modular operations according to the montgomery method Jul. 7, 1998
5774389 Error correction apparatus Jun. 30, 1998
5771184 System and method for solving quadratic equation in galois fields Jun. 23, 1998
5768168 Universal galois field multiplier Jun. 16, 1998
5761102 System and method for determining the cube root of an element of a galois field GF(2) Jun. 2, 1998
5754563 Byte-parallel system for implementing reed-solomon error-correcting codes May. 19, 1998
5751620 Method for the production of an error correction parameter associated with the implementation of modular operations according to the Montgomery method May. 12, 1998
5745398 Method for the implementation of modular multiplication according to the Montgomery method Apr. 28, 1998
5742534 Electronic circuit for modular computation in a finite field Apr. 21, 1998
5689452 Method and apparatus for performing arithmetic in large galois field GF(2.sup.n) Nov. 18, 1997
5680340 Low order first bit serial finite field multiplier Oct. 21, 1997
5612910 Circuit for inverting elements of a finite field Mar. 18, 1997
5602767 Galois field polynomial multiply/divide circuit and a digital signal processor incorporating same Feb. 11, 1997
5592404 Versatile error correction system Jan. 7, 1997
5572454 Modulo reduction method using a precomputed table Nov. 5, 1996
5555516 Multipurpose error correction calculation circuit Sep. 10, 1996
5539756 Method to ensure data integrity in a telecommunications network Jul. 23, 1996
5535225 Time domain algebraic encoder/decoder Jul. 9, 1996
5502665 Galois field multiplier Mar. 26, 1996
5495488 Arithmetic circuit having a simple structure for producing an error numeric value polynomial and an error locator polynomial Feb. 27, 1996
5467297 Finite field inversion Nov. 14, 1995

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