The classification of self-dual modular codes

DOI10.1016/j.ffa.2011.02.010zbMath1235.94061OpenAlexW2022162917MaRDI QIDQ640006

Young-Ho Park

Publication date: 12 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2011.02.010

zbMATH Keywords

self-dual codescodes over ringsmodular codesChinese products

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (10)

Dual of codes over finite quotients of polynomial rings ⋮ On the Classification of Self-Dual \mathbb{Z}_<i>k</i>-Codes II ⋮ Type IV codes over a non-local non-unital ring ⋮ Quasi self-dual codes over non-unital rings of order six ⋮ Unnamed Item ⋮ MASS FORMULA OF SELF-DUAL CODES OVER GALOIS RINGS GR(p², 2) ⋮ THE CLASSIFICATION OF SELF-ORTHOGONAL CODES OVER ℤ_p2OF LENGTHS ≤ 3 ⋮ An improved upper bound on self-dual codes over finite fields \(\mathrm{GF}(11)\), \(\mathrm{GF}(19)\), and \(\mathrm{GF}(23)\) ⋮ Self-dual codes over ${\mathbb Z}_{p^2}$ of small lengths ⋮ The mass formula of self-orthogonal codes over $\mathbf {GF(q)}$

Cites Work

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• Mass formula for self-dual codes over Z\( _{p^2}\)
• Modular independence and generator matrices for codes over \(\mathbb{Z}_m\)
• The number of self-dual codes over \(\mathbb Z_{p^3}\)
• Self-dual codes over GF(5)
• Self-dual codes over the integers modulo 4
• Self-dual codes over rings and the Chinese remainder theorem
• On self-dual codes over some prime fields.
• On the Classification of Self-dual -Codes
• Self-dual codes over&lt;tex&gt;GF(7)&lt;/tex&gt;(Corresp.)
• Self-Dual Codes over ${\text{GF}}( 3 )$
• Fundamentals of Error-Correcting Codes
• OPTIMAL LINEAR CODES OVER ℤ_m
• On the classification and enumeration of self-dual codes

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