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On the size of the symmetry group of a perfect code
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2011 (English)In: Discrete Mathematics, ISSN 0012-365X, E-ISSN 1872-681X, Vol. 311, no 17, 1879-1885 p.Article in journal (Refereed) Published
Abstract [en]

It is shown that for every nonlinear perfect code C of length n and rank r with n - log(n + 1) + 1 <= r <= n - 1, vertical bar Sym(C)vertical bar <= vertical bar GL(n - r, 2)vertical bar . vertical bar GL(log(n +1) - (n - r), 2)vertical bar . (n + 1/2(n-r))(n-r) where Sym(C) denotes the group of symmetries of C. This bound considerably improves a bound of Malyugin. (C) 2011 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
2011. Vol. 311, no 17, 1879-1885 p.
Keyword [en]
Perfect codes, Symmetry group
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-37536DOI: 10.1016/j.disc.2011.05.002ISI: 000293316300003Scopus ID: 2-s2.0-79957629264OAI: oai:DiVA.org:kth-37536DiVA: diva2:434902
Note
QC 20110816Available from: 2011-08-16 Created: 2011-08-15 Last updated: 2017-12-08Bibliographically approved

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