


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 
8131794 
RAID system and Galois field product computation method 
Mar. 6, 2012 
8098647 
Method of performing cell search in wireless communication system 
Jan. 17, 2012 
8085931 
Computation method, computing device and computer program 
Dec. 27, 2011 
8086656 
System and method for efficient basis conversion 
Dec. 27, 2011 
8060550 
Method and apparatus for integer transformation using a discrete logarithm and modular factorization 
Nov. 15, 2011 
8036377 
Method and apparatus of high speed encryption and decryption 
Oct. 11, 2011 
8024391 
Modular multiplication method with precomputation using one known operand 
Sep. 20, 2011 
8015227 
Method in creating a symbol pattern, symbol pattern obtained thereby, method and system for finding a position in such symbol pattern and computer program product for performing the method 
Sep. 6, 2011 
8005210 
Modulus scaling for ellipticcurve cryptography 
Aug. 23, 2011 
7991162 
Accelerating scalar multiplication on elliptic curve cryptosystems over prime fields 
Aug. 2, 2011 
7986779 
Efficient ellipticcurve cryptography based on primality of the order of the ECCgroup 
Jul. 26, 2011 
7978972 
Optical line terminal and optical network terminal 
Jul. 12, 2011 
7978846 
Scaleinvariant barrett reduction for ellipticcurve cyrptography 
Jul. 12, 2011 
7936874 
Information transfer system, encryption device, and decryption device 
May. 3, 2011 
7930335 
Generic implementations of elliptic curve cryptography using partial reduction 
Apr. 19, 2011 
7916714 
Method of performing cell search in wireless communication system 
Mar. 29, 2011 
7907592 
Method of performing cell search in wireless communication system 
Mar. 15, 2011 
7904719 
Extending the range of computational fields of integers 
Mar. 8, 2011 
7904761 
Method and apparatus for a discrete power series generator 
Mar. 8, 2011 
7895253 
Compound Galois field engine and Galois field divider and square root engine and method 
Feb. 22, 2011 
7890565 
Efficient hardware implementation of tweakable block cipher 
Feb. 15, 2011 
7865806 
Methods and apparatus in finite field polynomial implementations 
Jan. 4, 2011 
7831651 
Method and apparatus for modular inversion for information security and recording medium with a program for implementing the method 
Nov. 9, 2010 
7805480 
Randomized modular polynomial reduction method and hardware therefor 
Sep. 28, 2010 
7801937 
Method and apparatus for implementing a lookahead for low radix Montgomery multiplication 
Sep. 21, 2010 
7792893 
Device and method for calculating conversion parameter of montgomery modular multiplication and program therefor 
Sep. 7, 2010 
7788311 
Method for fast quotient guess and congruencies manipulation 
Aug. 31, 2010 
7774679 
Techniques for performing reduced complexity galois field arithmetic for correcting errors 
Aug. 10, 2010 
7769167 
Weil and Tate pairing techniques using parabolas 
Aug. 3, 2010 
7760884 
Cryptographic method and devices for facilitating calculations during transactions 
Jul. 20, 2010 
7721069 
Low power, high performance, heterogeneous, scalable processor architecture 
May. 18, 2010 
7715554 
Prime number determining method 
May. 11, 2010 
7715556 
Key establishment method and system using commutative linear function 
May. 11, 2010 
7711763 
Microprocessor instructions for performing polynomial arithmetic operations 
May. 4, 2010 
7698357 
Modular multiplication with parallel calculation of the lookahead parameters 
Apr. 13, 2010 
7693928 
Galois field linear transformer trellis system 
Apr. 6, 2010 
7693927 
Data processing system and method 
Apr. 6, 2010 
7668895 
Galois field computation 
Feb. 23, 2010 
7599979 
Apparatus for hybrid multiplier in GF(2.sup.m) and method thereof 
Oct. 6, 2009 
7580472 
Generation and detection of nonbinary digital sequences 
Aug. 25, 2009 
7574469 
Method for generating the multiplicative inverse in a finite field GF(p) 
Aug. 11, 2009 
7558817 
Apparatus and method for calculating a result of a modular multiplication 
Jul. 7, 2009 
7552163 
Montgomery modular multiplier and method thereof 
Jun. 23, 2009 
7552164 
Accelerated prime sieving using architectureoptimized partial prime product table 
Jun. 23, 2009 
7543012 
Method and apparatus to perform squaring operation in finite field 
Jun. 2, 2009 
7539719 
Method and apparatus for performing multiplication in finite field GF(2.sup.n) 
May. 26, 2009 
RE40710 
Data converter for performing exponentiation in polynomial residue class ring with value in finite field as coefficient 
May. 12, 2009 
7526518 
Galois field multiplication system and method 
Apr. 28, 2009 
7519644 
Finite field serialserial multiplication/reduction structure and method 
Apr. 14, 2009 
7511637 
Spreading code derived from weil sequences 
Mar. 31, 2009 


