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Contemporary Mathematics
Article . 2023 . Peer-reviewed
License: CC BY
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arXiv.org e-Print Archive
Preprint . 2022
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https://dx.doi.org/10.48550/ar...
Article . 2022
License: CC BY NC ND
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Article . 2023
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Neighborhoods of Binary Self-Dual Codes

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 30 Nov 2023Embargo end date: 01 Jan 2022Publisher:Universal Wiser Publisher Pte. LtdJournal:Contemporary Mathematics (issn: 2705-1064, eissn: 2705-1056, Copyright policy )
Authors: Carolin Hannusch; S. Roland Major;

doi: 10.37256/cm.4420232397 , 10.48550/arxiv.2206.05588

arXiv: 2206.05588

Neighborhoods of Binary Self-Dual Codes

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.

Related Organizations
Keywords

FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Computer Science - Information Theory, Information Theory (cs.IT), Computer Science - Discrete Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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