Classification of the extremal formally self-dual even codes of length 30

Stefka Bouyuklieva; Iliya Bouyukliev

doi:10.3934/amc.2010.4.433

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2010, Volume 4, Issue 3: 433-439. Doi: 10.3934/amc.2010.4.433

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Classification of the extremal formally self-dual even codes of length 30

Stefka Bouyuklieva^1, and
Iliya Bouyukliev^2,

1.
Department of Algebra and Geometry, Veliko Tarnovo University
2.
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, P.O. Box 323, Veliko Tarnovo

Received: February 28, 2010

Revised: May 31, 2010

Published: July 2010

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Abstract

It is known that there are extremal formally self-dual even codes which are not self-dual only for lengths 6, 10, 12, 14, 18, 20, 22, 28 and 30. We complete the classification of extremal formally self-dual even codes by examining the case for length 30.

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Mathematics Subject Classification: Primary: 94B05.

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