DIFFERENTIATION OF POLYNOMIALS IN SEVERAL VARIABLES OVER GALOIS FIELDS OF FUZZY CARDINALITY AND APPLICATIONS TO REED-MULLER CODES

DIFFERENTIATION OF POLYNOMIALS IN SEVERAL VARIABLES OVER GALOIS FIELDS OF FUZZY CARDINALITY AND APPLICATIONS TO REED-MULLER CODES

Introduction. Polynomials in several variables over Galois fields provide the basis for the Reed-Muller coding theory, and are also used  in a number of cryptographic problems. The properties of such polynomials specified over the derived Galois fields of fuzzy cardinality are studied. For the resul...

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Bibliographic Details
Main Authors: V. M. Deundyak, N. S. Mogilevskaya
Format: Article
Language:Russian
Published: Don State Technical University 2018-09-01
Series:Advanced Engineering Research
Subjects:
polynomials in several variables
galois fields
polynomial derivatives
differentiation of polynomials
reed-muller codes
decoding
partitioned data transmission
Online Access:https://www.vestnik-donstu.ru/jour/article/view/1352

Internet

https://www.vestnik-donstu.ru/jour/article/view/1352

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