Hamming distances of constacyclic codes of length \(7p^s\) over \(\mathbb{F}_{p^m}\)

DOI10.1016/J.FFA.2024.102420MaRDI QIDQ6495858

Nhan Nguyen, Hieu V. Ha, Hai Quang Dinh, Thieu N. Vo, Nghia Tran

Publication date: 2 May 2024

Published in: Finite Fields and their Applications (Search for Journal in Brave)

zbMATH Keywords

Hamming distanceconstacyclic codeMDS codeAMDS code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Polynomials over finite fields (11T06) Cyclic codes (94B15)

Cites Work

• Repeated-root constacyclic codes of length \(4\ell^{m}p^{n}\)
• Repeated-root constacyclic codes of length \(3lp^s\) and their dual codes
• Repeated-root constacyclic codes of length \(\ell p^s\) and their duals
• Repeated-root constacyclic codes of length
• On the Hamming distances of repeated-root constacyclic codes of length \(4p^s\)
• Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes
• Structure of repeated-root constacyclic codes of length \(3p^s\) and their duals
• Hamming distances of constacyclic codes of length \(3p^s\) and optimal codes with respect to the Griesmer and Singleton bounds
• Repeated-root constacyclic codes of length \(2 \ell^m p^n\)
• On the linear ordering of some classes of negacyclic and cyclic codes and their distance distributions
• ON REPEATED-ROOT CONSTACYCLIC CODES OF LENGTH 4p^s
• The Minimum Hamming Distance of Cyclic Codes of Length 2p s
• A note on the q-ary image of a q/sup m/-ary repeated-root cyclic code
• Weight distributions of cyclic self-dual codes
• On repeated-root cyclic codes
• Repeated-root cyclic codes

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