Title | ||
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Classification of binary self-dual [48, 24, 10] codes with an automorphism of odd prime order. |
Abstract | ||
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The purpose of this paper is to complete the classification of binary self-dual [48,24,10] codes with an automorphism of odd prime order. We prove that if there is a self-dual [48,24,10] code with an automorphism of type p-(c,f) with p being an odd prime, then p=3, c=16, f=0. By considering only an automorphism of type 3-(16,0), we prove that there are exactly 264 inequivalent self-dual [48,24,10] codes with an automorphism of odd prime order, equivalently, there are exactly 264 inequivalent cubic self-dual [48,24,10] codes. |
Year | DOI | Venue |
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2012 | 10.1016/j.ffa.2012.08.002 | Finite Fields and Their Applications |
Keywords | DocType | Volume |
94B05 | Journal | 18 |
Issue | ISSN | Citations |
6 | 1071-5797 | 5 |
PageRank | References | Authors |
0.52 | 12 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Stefka Bouyuklieva | 1 | 108 | 13.95 |
Nikolay Yankov | 2 | 56 | 7.51 |
Jon-Lark Kim | 3 | 312 | 34.62 |