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Classification of binary self-dual [76, 38, 14] codes with an automorphism of order 9. (arXiv:1711.05710v1 [math.CO])

来源于:arXiv
Using the method for constructing binary self-dual codes with an automorphism of order square of a prime number we have classified all binary self-dual codes with length 76 having minimum distance $d=14$ and automorphism of order 9. Up to equivalence, there are six self-dual $[76, 38, 14]$ codes with an automorphism of type $9$-$(8,0,4)$. All codes obtained have new values of the parameter in their weight enumerator thus more than doubling the number of known values. 查看全文>>