A note on the weight distribution of some cyclic codes

DOI10.1016/J.FFA.2015.03.003zbMath1343.94095OpenAlexW2147355405MaRDI QIDQ491990

Liren Lin, Bocong Chen, Hong-wei Liu

Publication date: 19 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2015.03.003

zbMATH Keywords

finite fieldweight distributioncyclic codegenerating idempotent

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15)

Related Items (4)

On the weight distributions of some cyclic codes ⋮ The weight distribution for any irreducible cyclic code of length \(p^m\) ⋮ Weight enumerators of some irreducible cyclic codes of odd length ⋮ Weight enumerators of all cubic-primitive irreducible cyclic codes of odd prime power length

Cites Work

• Some minimal cyclic codes over finite fields
• Weight distributions of cyclic codes with respect to pairwise coprime order elements
• The weight distribution of a class of \(p\)-ary cyclic codes
• The weight distribution of some irreducible cyclic codes
• The weight distributions of a class of cyclic codes
• Minimal cyclic codes of length \(p^nq\)
• The weight distributions of two classes of \(p\)-ary cyclic codes
• The minimum Hamming distances of irreducible cyclic codes
• Idempotents in group algebras and minimal abelian codes
• Minimal codes of prime-power length.
• All two-weight irreducible cyclic codes?
• Hamming weights in irreducible cyclic codes
• The weight distributions of a class of cyclic codes. III
• Weight distribution of some reducible cyclic codes
• The weight distributions of irreducible cyclic codes of length \(2^m\)
• On the linear ordering of some classes of negacyclic and cyclic codes and their distance distributions
• The weight distributions of some minimal cyclic codes (Corresp.)
• Fundamentals of Error-Correcting Codes
• The minimum distance of the duals of binary irreducible cyclic codes
• The Weight Distribution of Some Irreducible Cyclic Codes
• On Cyclic and Abelian Codes
• Evaluation of the Weight Distribution of a Class of Cyclic Codes Based on Index 2 Gauss Sums
• A class of minimal cyclic codes over finite fields

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