An improved method for determining the weight distribution of a family of \(q\)-ary cyclic codes

DOI10.1007/s00200-017-0318-yzbMath1394.94954OpenAlexW2606274588MaRDI QIDQ681331

Gerardo Vega

Publication date: 30 January 2018

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-017-0318-y

zbMATH Keywords

weight distributionreducible cyclic codesweight enumerator polynomial

Mathematics Subject Classification ID

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

Related Items (3)

The weight distribution for any irreducible cyclic code of length \(p^m\) ⋮ The weight distribution of families of reducible cyclic codes through the weight distribution of some irreducible cyclic codes ⋮ A characterization of all semiprimitive irreducible cyclic codes in terms of their lengths

Cites Work

• Unnamed Item
• The weight distribution of irreducible cyclic codes with block lengths \(n_1 ((q^\ell-1)/N)\)
• The weight distribution for a class of irreducible cyclic codes
• A critical review and some remarks about one- and two-weight irreducible cyclic codes
• Monomial and quadratic bent functions over the finite fields of odd characteristic
• Determining the Number of One-Weight Cyclic Codes When Length and Dimension Are Given
• The weight distribution of a family of \(p\)-ary cyclic codes

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