


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 
8667040 
Mechanism for carryless multiplication that employs booth encoding 
Mar. 4, 2014 
8650239 
Hardware implementation of a Galois field multiplier 
Feb. 11, 2014 
8645448 
Carryless multiplication unit 
Feb. 4, 2014 
8626811 
Method and apparatus for providing flexible bitlength moduli on a block Montgomery machine 
Jan. 7, 2014 
8626812 
Hybrid greatest common divisor calculator for polynomials 
Jan. 7, 2014 
8619977 
Representation change of a point on an elliptic curve 
Dec. 31, 2013 
8589466 
Ternary and multivalue digital signal scramblers, decramblers and sequence generators 
Nov. 19, 2013 
8559625 
Elliptic curve point transformations 
Oct. 15, 2013 
8553784 
Method, apparatus and system for random linear network coding 
Oct. 8, 2013 
8543630 
Exponentiation calculation apparatus and method for calculating square root in finite extension field 
Sep. 24, 2013 
8532289 
Fast computation of a single coefficient in an inverse polynomial 
Sep. 10, 2013 
8504603 
Method and system for parallel computation of linear sequential circuits 
Aug. 6, 2013 
8494155 
Method and apparatus of high speed encryption and decryption 
Jul. 23, 2013 
8477935 
Method and apparatus for calculating a polynomial multiplication, in particular for elliptic curve cryptography 
Jul. 2, 2013 
8443028 
Circuits and methods for performing exponentiation and inversion of finite field elements 
May. 14, 2013 
8438205 
Exponentiation calculation apparatus and method for calculating square root in finite extension field 
May. 7, 2013 
8438206 
Linear feedback shift calculation apparatus, communication apparatus, microprocessor, and data output method in a linear feedback calculation apparatus 
May. 7, 2013 
8433740 
Msequence generator, providing method thereof, and random error generating device in which Msequence generator is used 
Apr. 30, 2013 
8411853 
Alternate galois field advanced encryption standard round 
Apr. 2, 2013 
8392494 
Method and apparatus for performing efficient sidechannel attack resistant reduction using montgomery or barrett reduction 
Mar. 5, 2013 
8386751 
Low power, high performance, heterogeneous, scalable processor architecture 
Feb. 26, 2013 
8380767 
Polynomialbasis to normalbasis transformation for binary GaloisFields GF(2.sup.m) 
Feb. 19, 2013 
8380777 
Normalbasis to canonicalbasis transformation for binary galoisfields GF(2.sup.m) 
Feb. 19, 2013 
8375077 
Method, apparatus and media for performing GF(2) polynomial operations 
Feb. 12, 2013 
8359478 
Protection of a static datum in an integrated circuit 
Jan. 22, 2013 
8352530 
Residue calculation with builtin correction in a floating point unit positioned at different levels using correction values provided by multiplexer 
Jan. 8, 2013 
8352736 
Authentication method 
Jan. 8, 2013 
8335808 
Method and apparatus for processing multiple decomposed data for calculating key equation polynomials in decoding error correction code 
Dec. 18, 2012 
8312072 
Universal Galois field multiplier 
Nov. 13, 2012 
8290147 
Systems and methods for efficiently creating digests of digital data 
Oct. 16, 2012 
8290151 
Device and method for determining an inverse of a value related to a modulus 
Oct. 16, 2012 
8280041 
Chinese remainder theorembased computation method for cryptosystems 
Oct. 2, 2012 
8280938 
Semisequential Galois Field multiplier and the method for performing the same 
Oct. 2, 2012 
8271570 
Unified integer/galois field (2m) multiplier architecture for ellipticcurve crytpography 
Sep. 18, 2012 
8244790 
Multiplier and cipher circuit 
Aug. 14, 2012 
8233614 
Integer division method secure against covert channel attacks 
Jul. 31, 2012 
8209369 
Signal processing apparatus and method for performing modular multiplication in an electronic device, and smart card using the same 
Jun. 26, 2012 
8200734 
Lookupbased Galois field operations 
Jun. 12, 2012 
8195732 
Methods and apparatus for single stage Galois field operations 
Jun. 5, 2012 
8189771 
Hash functions with elliptic polynomial hopping 
May. 29, 2012 
8184803 
Hash functions using elliptic curve cryptography 
May. 22, 2012 
8180820 
Generation of a remainder from division of a first polynomial by a second polynomial 
May. 15, 2012 
8176109 
Calculating unit for reducing an input number with respect to a modulus 
May. 8, 2012 
8176110 
Modular multiplier 
May. 8, 2012 
8170203 
Message authentication code with elliptic polynomial hopping 
May. 1, 2012 
8165287 
Cryptographic hash functions using elliptic polynomial cryptography 
Apr. 24, 2012 
8145692 
Digital generation of an accelerated or decelerated chaotic numerical sequence 
Mar. 27, 2012 
8145697 
System and method for efficient basis conversion 
Mar. 27, 2012 
8139765 
Elliptical polynomialbased message authentication code 
Mar. 20, 2012 
8139764 
Closed galois field cryptographic system 
Mar. 20, 2012 


