# American Institute of Mathematical Sciences

May  2007, 1(2): 251-256. doi: 10.3934/amc.2007.1.251

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

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

Received  December 2006 Revised  March 2007 Published  May 2007

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.
Citation: Masaaki Harada, Akihiro Munemasa. On the covering radii of extremal doubly even self-dual codes. Advances in Mathematics of Communications, 2007, 1 (2) : 251-256. doi: 10.3934/amc.2007.1.251
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