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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
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 n-valued 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 multi-precision 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 Six-term Karatsuba-variant calculator Apr. 22, 2008
7346834 Randomizer systems for producing multiple-symbol 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 full-adder post processor for modulo arithmetic Mar. 20, 2007
7181484 Extended-precision accumulation of multiplier output Feb. 20, 2007
7181483 Error-correcting 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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