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Start Over Author "Gupta, Indivar" Topic constacyclic codes
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3. Hamming distance of repeated-root constacyclic codes of length 2ps over Fpm+uFpm.

Author

Dinh, Hai Q., Gaur, A., Gupta, Indivar, Singh, Abhay K., Singh, Manoj Kumar, and Tansuchat, Roengchai

Subjects
FINITE rings, HAMMING distance, CIPHERS
Abstract

Let p be an odd prime, and δ be an arbitrary unit of the finite chain ring F p m + u F p m (u 2 = 0) . The Hamming distances of all δ -constacyclic codes of length 2 p s over F p m + u F p m are completely determined. We provide some examples from which some codes have better parameters than the existing ones. As applications, we determine all MDS repeated-root δ -constacyclic codes of length 2 p s over F p m + u F p m . [ABSTRACT FROM AUTHOR]

Published
2020
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