Double Circulant Self-Dual and LCD Codes Over ℤp2

DOI10.1142/S0129054119500114zbMath1434.94085MaRDI QIDQ5384123

Minjia Shi, Daitao Huang, Patrick Solé

Publication date: 21 June 2019

Published in: International Journal of Foundations of Computer Science (Search for Journal in Brave)

zbMATH Keywords

self-dual codesArtin conjecturedouble circulant codesLCD codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (7)

Several classes of asymptotically good quasi-twisted codes with a low index ⋮ Self-dual and LCD double circulant and double negacirculant codes over \({\mathbb{F}}_q+u{\mathbb{F}}_q+v{\mathbb{F}}_q\) ⋮ Self-dual and LCD double circulant codes over a class of non-local rings ⋮ Self-dual and LCD double circulant and double negacirculant codes over a family of finite rings \(\mathbb{F}_q[v_1,v_2,\dots,v_t\)] ⋮ On LCD codes from skew symmetric Toeplitz matrices ⋮ LCD codes from tridiagonal Toeplitz matrices ⋮ On the structure of 1-generator quasi-polycyclic codes over finite chain rings

Cites Work

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• Double circulant self-dual and LCD codes over Galois rings
• On self-dual double circulant codes
• Self-dual codes over \(\mathbb{Z}_8\) and \(\mathbb{Z}_9\)
• On the Classification of Self-dual -Codes
• Fundamentals of Error-Correcting Codes
• Z(p/sup k+1/)-linear codes
• Artin's Primitive Root Conjecture – A Survey
• On Self-Dual Four Circulant Codes

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