On the Classification of Extremal $[36,18,8]$ Binary Self-Dual Codes

DOI10.1109/TIT.2008.928976zbMath1322.94107OpenAlexW2116042935MaRDI QIDQ3604937

Carlos Aguilar-Melchor, Philippe Gaborit

Publication date: 24 February 2009

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tit.2008.928976

Mathematics Subject Classification ID

Combined modulation schemes (including trellis codes) in coding theory (94B12)

Related Items (8)

An extremal \([72,36,16\) binary code has no automorphism group containing \(Z_2 \times Z_4\), \(Q_8\), or \(Z_{10}\)] ⋮ Construction of quasi-cyclic self-dual codes ⋮ Constructions of optimal LCD codes over large finite fields ⋮ The automorphism group of a self-dual \([72,36,16\) code is not an elementary abelian group of order 8] ⋮ On involutions in extremal self-dual codes and the dual distance of semi self-dual codes ⋮ Self-dual codes and orthogonal matrices over large finite fields ⋮ Self-dual codes over \(\mathbb F_2 +u\mathbb F_2\) with an automorphism of odd order ⋮ On the existence of s-extremal singly even self-dual codes

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