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Bagus Ilman
Combinatorial Mathematics Research Group Faculty of Mathematics and Natural Sciences Institut Teknologi Bandung
Mathematics

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New Extremal Self-dual Codes of Length 36 Djoko Suprijanto; Bagus Ilman
Jurnal Matematika & Sains Vol 15, No 3 (2010)
Publisher : Institut Teknologi Bandung

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Abstract

A paper of Conway and Sloane (1990) gives the putative weight enumerators of extremal self-dual codes for length n £ 64 and n = 72. The construction of such codes with putative weight enumerator has been one of the fundamental problems in Coding Theory. In this paper, we construct new extremal binary self-dual codes of length 36. We show that there are at least 17 inequivalent extremal binary self-dual codes of parameter  [36, 18, 8]. Our invention upgrades the previous known result provided by Conway and Sloane (1990), Harada (1999), and Kim (2001).
Co-Authors Djoko Suprijanto