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The Hamming distances of negacyclic codes of length \(2^s\) over \(GR (2^a , m )\)

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Publication:1031965
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DOI10.1007/s11424-008-9066-1zbMath1178.94236OpenAlexW2040637848MaRDI QIDQ1031965

Xiaoshan Kai, Shixin Zhu

Publication date: 23 October 2009

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-008-9066-1


zbMATH Keywords

Hamming weightsHamming distancesnegacyclic codesgray map


Mathematics Subject Classification ID

Cyclic codes (94B15)


Related Items

A family of constacyclic codes over \(\mathbb F_{2} + u\mathbb F_{2} + v\mathbb F_{2} + uv\mathbb F_{2}\) ⋮ A class of constacyclic codes over \(\mathbb Z_{p^m}\)



Cites Work

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  • Negacyclic Codes of Length<tex>$2^s$</tex>Over Galois Rings
  • Complete Distances of All Negacyclic Codes of Length $2^{s}$ Over $\BBZ _{2^{a}}$
  • The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
  • Negacyclic and cyclic codes over Z/sub 4/
  • Binary images of cyclic codes over Z/sub 4/
  • Negacyclic codes over Z/sub 4/ of even length
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