New extremal formally self-dual even codes of length 30

Masaaki Harada; Katsushi Waki

doi:10.3934/amc.2009.3.311

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2009, Volume 3, Issue 4: 311-316. Doi: 10.3934/amc.2009.3.311

This issue Previous Article Next Article Generalized AG convolutional codes

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

Received: February 29, 2008

Revised: July 31, 2009

Published: October 2009

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Abstract

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.

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Mathematics Subject Classification: Primary 94B05.

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