





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 
6581083 
Syndrome generator and method for generating syndromes in a video/audio processing system 
Jun. 17, 2003 
6581084 
Circuit for multiplication in a Galois field 
Jun. 17, 2003 
6570988 
Simple technique for implementing a cryptographic primitive using elementary register operations 
May. 27, 2003 
6560336 
Apparatus for operating double vector and encrypting system including the same 
May. 6, 2003 
6530057 
High speed generation and checking of cyclic redundancy check values 
Mar. 4, 2003 
6523054 
Galois field arithmetic processor 
Feb. 18, 2003 
6523053 
Method and apparatus for dividing long polynomial expression in finite field 
Feb. 18, 2003 
6484192 
Root finding method and root finding circuit of quadratic polynomial over finite field 
Nov. 19, 2002 
6473779 
Combinatorial polynomial multiplier for galois field 256 arithmetic 
Oct. 29, 2002 
6466668 
IC card equipped with elliptical curve encryption processing facility 
Oct. 15, 2002 
6466959 
Apparatus and method for efficient arithmetic in finite fields through alternative representation 
Oct. 15, 2002 
6457035 
Table matching for multiplication of elements in Galois Field 
Sep. 24, 2002 
6430588 
Apparatus and method for ellipticcurve multiplication and recording medium having recorded thereon a program for implementing the method 
Aug. 6, 2002 
6424987 
Method for the implementation of a specific modular multiplication operation relating to the montgomery method 
Jul. 23, 2002 
6396926 
Scheme for fast realization of encrytion, decryption and authentication 
May. 28, 2002 
6389442 
Efficient finite field multiplication in normal basis 
May. 14, 2002 
6377969 
Method for multiplication in Galois fields using programmable circuits 
Apr. 23, 2002 
6366941 
Multidimensional Galois field multiplier 
Apr. 2, 2002 
6356636 
Circuit and method for fast modular multiplication 
Mar. 12, 2002 
6349318 
Arithmetic processor for finite field and module integer arithmetic operations 
Feb. 19, 2002 
6343305 
Methods and apparatus for multiplication in a galois field GF (2m), encoders and decoders using same 
Jan. 29, 2002 
6341297 
Parallel processing syndrome calculating circuit and ReedSolomon decoding circuit 
Jan. 22, 2002 
6286022 
Efficient finite field basis conversion involving a dual basis 
Sep. 4, 2001 
6279023 
System for computing the multiplicative inverse of an element of a Galois field without using tables 
Aug. 21, 2001 
6275837 
Method for the implementation of an elementary modular operation according to the Montgomery method 
Aug. 14, 2001 
6275495 
Modular architecture pet decoder for ATM networks 
Aug. 14, 2001 
6266688 
Scheme for arithmetic operations in finite field and group operations over elliptic curves realizing improved computational speed 
Jul. 24, 2001 
6263081 
Elliptic curve calculation apparatus capable of calculating multiples at high speed 
Jul. 17, 2001 
6260173 
Combined system for producing error correction code symbols and error syndromes 
Jul. 10, 2001 
6252960 
Compression and decompression of elliptic curve data points 
Jun. 26, 2001 
6237097 
Robust efficient distributed RSAkey generation 
May. 22, 2001 
6237015 
Method for the production of a parameter J0 associated with the implementation of modular operations according to the Montgomery method 
May. 22, 2001 
6230179 
Finite field multiplier with intrinsic modular reduction 
May. 8, 2001 
6226772 
Pipelined combined system for producing error correction code symbols and error syndromes for large ECC redundancy 
May. 1, 2001 
6219815 
Highspeed syndrome calculation 
Apr. 17, 2001 
6212538 
Method for the performance of an integer division with a modular arithmetic coprocessor 
Apr. 3, 2001 
6209114 
Efficient hardware implementation of chien search polynomial reduction in reedsolomon decoding 
Mar. 27, 2001 
6202076 
Scheme for arithmetic operations in finite field and group operations over elliptic curves realizing improved computational speed 
Mar. 13, 2001 
6199086 
Circuit and method for decompressing compressed elliptic curve points 
Mar. 6, 2001 
6199088 
Circuit for determining multiplicative inverses in certain galois fields 
Mar. 6, 2001 
6199087 
Apparatus and method for efficient arithmetic in finite fields through alternative representation 
Mar. 6, 2001 
6178436 
Apparatus and method for multiplication in large finite fields 
Jan. 23, 2001 
6175941 
Error correction apparatus and associated method utilizing parellel processing 
Jan. 16, 2001 
6151393 
Device and method for modular multiplication 
Nov. 21, 2000 
6141786 
Method and apparatus for performing arithmetic operations on Galois fields and their extensions 
Oct. 31, 2000 
6141420 
Elliptic curve encryption systems 
Oct. 31, 2000 
6138133 
Circuit for calculating the inverse of an arbitrary element of a finite field 
Oct. 24, 2000 
6138134 
Computational method and apparatus for finite field multiplication 
Oct. 24, 2000 
6134572 
Galois Field arithmetic apparatus and method 
Oct. 17, 2000 
6128760 
Method and apparatus for calculating a CRC remainder 
Oct. 3, 2000 








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