On bases of BCH codes with designed distance 3 and their extensions

DOI10.1134/S003294602004002XzbMath1481.94155OpenAlexW3122286719MaRDI QIDQ2229574

Faina I. Solov'eva, Ivan Yu. Mogilnykh

Publication date: 18 February 2021

Published in: Problems of Information Transmission (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s003294602004002x

zbMATH Keywords

cyclic codeBCH codeaffine-invariant codeminimum weight basissingle orbit affine generator

Mathematics Subject Classification ID

Cyclic codes (94B15)

Related Items (1)

Minimum weight bases for quaternary Reed-Muller codes

Cites Work

• Codes, bent functions and permutations suitable for DES-like cryptosystems
• On explicit minimum weight bases for extended cyclic codes related to Gold functions
• On the minimum distances of non-binary cyclic codes
• On binary cyclic codes of odd lengths from 101 to 127
• Studying the locator polynomials of minimum weight codewords of BCH codes
• Explicit Low-Weight Bases for BCH Codes
• Optimal Ternary Cyclic Codes From Monomials
• Some results on cyclic codes which are invariant under the affine group and their applications
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