New extremal formally self-dual even codes of length 30

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November 2009, 3(4): 311-316. doi: 10.3934/amc.2009.3.311

New extremal formally self-dual even codes of length 30

Masaaki Harada ^1, and Katsushi Waki ^1,

1.	Department of Mathematical Sciences, Yamagata University, Yamagata 990–8560, Japan

Received March 2008 Revised August 2009 Published November 2009

Abstract
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There are extremal formally self-dual even codes which are not selfdual only for lengths 6, 10, 12, 14, 18, 20, 22, 28 and 30. The only length for which the classification has not been done yet is 30. In this note, new extremal formally self-dual even codes of length 30 are constructed using symmetric matrices.

Keywords: Formally self-dual even code, extremal code, double circulant code..

Mathematics Subject Classification: Primary 94B0.

Citation: Masaaki Harada, Katsushi Waki. New extremal formally self-dual even codes of length 30. Advances in Mathematics of Communications, 2009, 3 (4) : 311-316. doi: 10.3934/amc.2009.3.311

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