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The automorphism group of an extremal [72,36,16] code does not contain Z₇, Z₃ x Z₃, or D₁₀

Title data

Feulner, Thomas ; Nebe, Gabriele:
The automorphism group of an extremal [72,36,16] code does not contain Z₇, Z₃ x Z₃, or D₁₀.
In: IEEE Transactions on Information Theory. Vol. 58 (2012) Issue 11 . - pp. 6916-6924.
ISSN 0018-9448
DOI: https://doi.org/10.1109/TIT.2012.2208176

Official URL: Volltext

Abstract in another language

A computer calculation with Magma shows that there is no extremal self-dual binary code C of length 72 that has an automorphism group containing either the dihedral group of order 10, the elementary abelian group of order 9, or the cyclic group of order 7. Combining this with the known results in the literature, one obtains that the order of Aut(C) is either 5 or divides 24.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: Automorphism group, extremal self-dual code, type II code
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 22 Jan 2015 12:21
Last Modified: 22 Jan 2015 12:21
URI: https://eref.uni-bayreuth.de/id/eprint/5834