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On the structure of symmetry groups of Vasil'ev codes
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2005 (English)In: Problems of Information Transmission, ISSN 0032-9460, E-ISSN 1608-3253, Vol. 41, no 2, 105-112 p.Article in journal (Refereed) Published
Abstract [en]

The structure of symmetry groups of Vasil'ev codes is studied. It is proved that the symmetry group of an arbitrary perfect binary non-full-rank Vasil'ev code of length n is always nontrivial; for codes of rank n - log(n + 1) + 1, an attainable upper bound on the order of the symmetry group is obtained.

Place, publisher, year, edition, pages
2005. Vol. 41, no 2, 105-112 p.
Keyword [en]
Codes (symbols), Information theory, Linear algebra, Vectors, Automorphism, Symmetry groups, Vasil'ev codes, Encoding (symbols)
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-156798DOI: 10.1007/s11122-005-0015-5Scopus ID: 2-s2.0-23044445708OAI: oai:DiVA.org:kth-156798DiVA: diva2:768551
Note

QC 20141204

Available from: 2014-12-04 Created: 2014-12-02 Last updated: 2017-12-05Bibliographically approved

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