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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
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 elliptic-curve 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 Multi-dimensional 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 Reed-Solomon 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 RSA-key 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 High-speed 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 reed-solomon 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

1 2 3 4 5 6 7

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