Double circulant self-dual and LCD codes over Galois rings

DOI10.3934/amc.2019011zbMath1407.94193arXiv1801.06624OpenAlexW2963470343WikidataQ128707735 ScholiaQ128707735MaRDI QIDQ1726023

Patrick Solé, Daitao Huang, Minjia Shi, Lin Sok

Publication date: 15 February 2019

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06624

zbMATH Keywords

Galois ringsself-dual codesdouble circulant codesLCD codes

Mathematics Subject Classification ID

Bounds on codes (94B65)

Related Items (21)

Several classes of asymptotically good quasi-twisted codes with a low index ⋮ Self-dual and LCD double circulant and double negacirculant codes over \({\mathbb{F}}_q+u{\mathbb{F}}_q+v{\mathbb{F}}_q\) ⋮ Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes ⋮ Self-dual and LCD double circulant codes over a class of non-local rings ⋮ Group LCD and group reversible LCD codes ⋮ Additive cyclic complementary dual codes over \(\mathbb{F}_4\) ⋮ \( \mathbb{Z}_p\mathbb{Z}_{p^s} \)-additive cyclic codes are asymptotically good ⋮ Theory of additive complementary dual codes, constructions and computations ⋮ Galois LCD codes over rings ⋮ Additive complementary dual codes over \(\mathbb{F}_4\) ⋮ On Toeplitz codes of index \(t\) and isometry codes ⋮ An improved method for constructing formally self-dual codes with small hulls ⋮ LCP of constacyclic codes over finite chain rings ⋮ An explicit expression for all distinct self-dual cyclic codes of length \(p^k\) over Galois ring \(\mathrm{GR}(p^2,m)\) ⋮ On LCD codes from skew symmetric Toeplitz matrices ⋮ Classification of binary self-orthogonal codes of lengths from 16 to 20 and its application ⋮ Double Circulant Self-Dual and LCD Codes Over ℤp2 ⋮ LCD codes from tridiagonal Toeplitz matrices ⋮ A modified Gilbert-Varshamov bound for self-dual quasi-twisted codes of index four ⋮ Asymptotically good \(\mathbb{Z}_{p^r} \mathbb{Z}_{p^s} \)-additive cyclic codes ⋮ A new construction of linear codes with one-dimensional hull

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