On the automorphism Group of a putative code

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2006 United States Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Information Theory, volume 52, pages 1,724-1,726 (issn: 0018-9448,

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Authors: Yorgov, Vassil;

doi: 10.1109/tit.2006.871611

On the automorphism Group of a putative code

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Abstract

A long standing open question in coding theory is whether a binary self-dual [72,36,16] code exists. It was shown recently that the automorphism group order of such code is equal to 2imiddot3 jmiddot5middot7, 2imiddot3jmiddot7, 2imiddot3jmiddot5, or 2imiddot3 j for some nonnegative integers i and j. We show that the group order is not a multiple of 35 and find that only 22 orders are possible

Country

United States

Related Organizations

Fayetteville State University
United States

Keywords

Automorphisms, Self-dual codes, Extremal codes, 510, 004

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