Neighborhoods of Binary Self-Dual Codes
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Published:2023-11-30
Issue:
Volume:
Page:1174-1179
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ISSN:2705-1056
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Container-title:Contemporary Mathematics
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language:
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Short-container-title:Contemp. Math.
Author:
Hannusch CarolinORCID,
Major S. RolandORCID
Abstract
In this paper, we introduce and investigate the neighborhood of binary self-dual codes. We prove that there is no better Type I code than the best Type II code of the same length. Further, we give some new necessary conditions for the existence of a singly-even (56,28,12)-code and a doubly-even (72,36,16)-code.
Publisher
Universal Wiser Publisher Pte. Ltd
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics