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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
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 elliptic-curve cryptography Aug. 23, 2011
7991162 Accelerating scalar multiplication on elliptic curve cryptosystems over prime fields Aug. 2, 2011
7986779 Efficient elliptic-curve cryptography based on primality of the order of the ECC-group Jul. 26, 2011
7978972 Optical line terminal and optical network terminal Jul. 12, 2011
7978846 Scale-invariant barrett reduction for elliptic-curve 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 look-ahead 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 look-ahead 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 non-binary 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 architecture-optimized 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 serial-serial multiplication/reduction structure and method Apr. 14, 2009
7511637 Spreading code derived from weil sequences Mar. 31, 2009

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