Codes with simple automorphism groups, II

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1978 English Publisher:Springer Science and Business Media LLCJournal:Archiv der Mathematik, volume 31, pages 15-20 (issn: 0003-889X, eissn: 1420-8938,

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Authors: Shaughnessy, Edward P.;

doi: 10.1007/bf01226411

Codes with simple automorphism groups, II

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Abstract

For primesl≧ 11 of the form 2m+1,m an odd prime, the automorphism group of the extended (l+1, (l+1)/2) quadratic residue code overGF(q) is simple. If the automorphism group properly containsPSL 2 (l), then for all primes of the above form the stability group of a point is simple. Application is made to the casesl=7, 11 and 23.

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Lafayette College
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Keywords

Linear algebraic groups over finite fields, Finite simple groups and their classification, Theory of error-correcting codes and error-detecting codes, Automorphisms of abstract finite groups

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