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The automorphism group of an extremal [120, 60, 24] code does not contain elements of order 29

Title data

de la Cruz, Javier ; Kiermaier, Michael ; Wassermann, Alfred:
The automorphism group of an extremal [120, 60, 24] code does not contain elements of order 29.
In: Designs, Codes and Cryptography. Vol. 78 (March 2016) Issue 3 . - pp. 693-702.
ISSN 0925-1022
DOI: https://doi.org/10.1007/s10623-014-0025-7

Abstract in another language

We prove that the automorphism group of an extremal binary self-dual [120, 60, 24] code does not contain elements of order 29. Combining this with the known results in the literature, one obtains that |G| divides 2^a * 3 * 5 * 7 * 19 * 23 for a non-negative integer a.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: self-dual code; extremal code; automorphism group; doubly-even code
Subject classification: Mathematics Subject Classification Code: 94B05 11T71
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics and Didactics
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: 24 Mar 2016 07:35
Last Modified: 24 Mar 2016 07:35
URI: https://eref.uni-bayreuth.de/id/eprint/32030