On the covering radii of extremal doubly even self-dual codes

Masaaki Harada; Akihiro Munemasa

doi:10.3934/amc.2007.1.251

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2007, Volume 1, Issue 2: 251-256. Doi: 10.3934/amc.2007.1.251

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On the covering radii of extremal doubly even self-dual codes

Masaaki Harada^1, and
Akihiro Munemasa^2,

1.
Department of Mathematical Sciences, Yamagata University, Yamagata 990–8560
2.
Graduate School of Information Sciences, Tohoku University, Sendai 980–8579

Received: December 2006

Revised: March 2007

Published: July 2007

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Abstract

In this note, we study the covering radii of extremal doubly even self-dual codes. We give slightly improved lower bounds on the covering radii of extremal doubly even self-dual codes of lengths 64, 80 and 96. The covering radii of some known extremal doubly even self-dual [64, 32, 12] codes are determined.

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Mathematics Subject Classification: Primary: 94B05; Secondary: 94B75.

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