





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 
7512647 
Condensed Galois field computing system 
Mar. 31, 2009 
7509486 
Encryption processor for performing accelerated computations to establish secure network sessions connections 
Mar. 24, 2009 
7508936 
Hardware accelerator for elliptic curve cryptography 
Mar. 24, 2009 
7505585 
Method of generating cryptographic key using elliptic curve and expansion in joint sparse form and using same 
Mar. 17, 2009 
7487194 
Binary and nvalued LFSR and LFCSR based scramblers, descramblers, sequence generators and detectors in Galois configuration 
Feb. 3, 2009 
7483935 
System and method to implement a matrix multiply unit of a broadband processor 
Jan. 27, 2009 
7464128 
Methods and apparatus for single stage Galois field operations 
Dec. 9, 2008 
7461115 
Modular multiplier 
Dec. 2, 2008 
7447310 
Lean multiplication of multiprecision numbers over GF(2.sup.m) 
Nov. 4, 2008 
7426529 
Processor and method for a simultaneous execution of a calculation and a copying process 
Sep. 16, 2008 
7424504 
Arithmetic processor for accomodating different field sizes 
Sep. 9, 2008 
7412474 
Montgomery modular multiplier using a compressor and multiplication method 
Aug. 12, 2008 
7404089 
Method and system for protecting against side channel attacks when performing cryptographic operations 
Jul. 22, 2008 
7403965 
Encryption/decryption system for calculating effective lower bits of a parameter for Montgomery modular multiplication 
Jul. 22, 2008 
7403964 
Galois field multiplier array for use within a finite field arithmetic unit 
Jul. 22, 2008 
7395295 
Pipeline core in Montgomery multiplier 
Jul. 1, 2008 
7373368 
Multiply execution unit that includes 4:2 and/or 5:3 compressors for performing integer and XOR multiplication 
May. 13, 2008 
7366299 
Method for encrypting and decrypting data using derivative equations and factors 
Apr. 29, 2008 
7363336 
Sixterm Karatsubavariant calculator 
Apr. 22, 2008 
7346834 
Randomizer systems for producing multiplesymbol randomizing sequences 
Mar. 18, 2008 
7346641 
Method and apparatus for basis conversion in finite field 
Mar. 18, 2008 
7346159 
Generic modular multiplier using partial reduction 
Mar. 18, 2008 
7343472 
Processor having a finite field arithmetic unit utilizing an array of multipliers and adders 
Mar. 11, 2008 
7317794 
Enciphering and deciphering apparatus, and enciphering and deciphering method 
Jan. 8, 2008 
7313583 
Galois field arithmetic unit for use within a processor 
Dec. 25, 2007 
7299253 
System and method for efficient basis conversion 
Nov. 20, 2007 
7283628 
Programmable data encryption engine 
Oct. 16, 2007 
7277540 
Arithmetic method and apparatus and crypto processing apparatus for performing multiple types of cryptography 
Oct. 2, 2007 
7278090 
Correction parameter determination system 
Oct. 2, 2007 
7269615 
Reconfigurable input Galois field linear transformer system 
Sep. 11, 2007 
7266577 
Modular multiplication apparatus, modular multiplication method, and modular exponentiation apparatus 
Sep. 4, 2007 
7260594 
Arithmetic logic unit over finite field GF(2.sup.m) 
Aug. 21, 2007 
7251325 
Public key cryptosystem using finite non abelian groups 
Jul. 31, 2007 
7248700 
Device and method for calculating a result of a modular exponentiation 
Jul. 24, 2007 
7240084 
Generic implementations of elliptic curve cryptography using partial reduction 
Jul. 3, 2007 
7240204 
Scalable and unified multiplication methods and apparatus 
Jul. 3, 2007 
7233663 
Key generation performance improvement 
Jun. 19, 2007 
7206410 
Circuit for the inner or scalar product computation in Galois fields 
Apr. 17, 2007 
7197527 
Efficient arithmetic in finite fields of odd characteristic on binary hardware 
Mar. 27, 2007 
7197528 
Jacobian group element adder 
Mar. 27, 2007 
7194088 
Method and system for a fulladder post processor for modulo arithmetic 
Mar. 20, 2007 
7181484 
Extendedprecision accumulation of multiplier output 
Feb. 20, 2007 
7181483 
Errorcorrecting device and decoder enabling fast error correction with reduced circuit scale 
Feb. 20, 2007 
7178091 
Reed solomon encoder 
Feb. 13, 2007 
7177422 
Elliptic curve encryption processing method, elliptic curve encryption processing apparatus, and program 
Feb. 13, 2007 
7177891 
Compact Galois field multiplier engine 
Feb. 13, 2007 
7167886 
Method for constructing logic circuits of small depth and complexity for operation of inversion in finite fields of characteristic 2 
Jan. 23, 2007 
7139787 
Multiply execution unit for performing integer and XOR multiplication 
Nov. 21, 2006 
7136892 
Method for multiplying two factors from the Galois field and multiplier for performing the method 
Nov. 14, 2006 
7133889 
Flexible galois field multiplier 
Nov. 7, 2006 








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