Abstract | ||
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We prove that the only primes which may divide the order of the automorphism group of a putative binary self-dual doubly-even $$[120, 60, 24]$$ [ 120 , 60 , 24 ] code are $$2, 3, 5, 7, 19, 23$$ 2 , 3 , 5 , 7 , 19 , 23 and $$29$$ 29 . Furthermore we prove that automorphisms of prime order $$p \\ge 5$$ p ¿ 5 have a unique cycle structure. Parts of the results are based on computer computations. |
Year | DOI | Venue |
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2015 | 10.1007/s10623-013-9902-8 | Des. Codes Cryptography |
Keywords | DocType | Volume |
Extremal self-dual doubly-even code,Automorphism group,94B05 | Journal | abs/1302.0033 |
Issue | ISSN | Citations |
2 | 0925-1022 | 2 |
PageRank | References | Authors |
0.41 | 8 | 1 |
Name | Order | Citations | PageRank |
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Jesús De La Cruz | 1 | 271 | 26.56 |