





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:
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 powersum 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 lookaheadbased 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 
Highspeed evaluation of polynomials 
Feb. 15, 2000 
6014767 
Method and apparatus for a simple calculation of CRC10 
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 nonmodular operations at high speed 
Nov. 16, 1999 
5978955 
Methods and apparatus for error correction using an RQ calculator 
Nov. 2, 1999 
5974582 
Highspeed chien search logic 
Oct. 26, 1999 
5964826 
Division circuits based on powersum 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 
Powersum 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 nonredundant (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 
Byteparallel system for implementing reedsolomon errorcorrecting 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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