Large-scale polynomialsCloud computing gives resource-constrained clients great conveniences to outsource exorbitant computations to a public cloud. The extended Euclidean algorithm with large-scale polynomials over finite fields is fundamental and widespread in computer science and cryptography, yet it is ...
Decoder implements the modified Euclidean algorithm of polynomials division. In the present paper the special attention is given to control algorithm of the key-equation solution blocks. Results of codec designing for rate of 3/4 and correcting ability of 32 are presented....
On the complexity of the extended Euclideanalgorithm(Extended Abstract)George HavasCentre for Discrete Mathematics and ComputingSchool of In..
The Mamdani fuzzy model is more intuitive and suitable for handling linguistic inputs; its outputs are usually fuzzy sets, and thus, a defuzzification process is often required. In contrast, the TSK inference approach produces crisp outputs directly, as TSK fuzzy rules use polynomials as rule ...
The present apparatus generates a syndrome from a received word, estimates the number of errors having occurred in the received word, computes error-locator polynomials and error-value polynomials while changing the initial values and ending condition of the Euclidean algorithm computation in accordance ...
The present apparatus generates a syndrome from a received word, estimates the number of errors having occurred in the received word, computes error-locator polynomials and error-value polynomials while changing the initial values and ending condition of the Euclidean algorithm computation in accordance ...
algorithm compositionparallel computationWe present generic, type safe Groebner bases software. The implemented algorithms distinguish Groebner base computation in polynomials rings over fields, rings with pseudo division, parameter rings, regular rings, Euclidean rings, non-commutative fields in commuting, ...