The [52, 26, 10] Binary Self-Dual Codes with an Automorphism of Order 7 |
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Institution: | 1. Department of Mathematical and Computer Sciences, Loyola University, Chicago, Illinois, 60626;2. Department of Mathematical Sciences, Michigan Technological University, Houghton, Michigan, 49931 |
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Abstract: | All 52, 26, 10] binary self-dual codes with an automorphism of order 7 are enumerated. Up to equivalence, there are 499 such codes. They have two possible weight enumerators, one of which has not previously arisen. |
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