Determination of the weight enumerator for optimal binary self-dual code of length 52
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چکیده
In this paper we give full classification of all binary [52, 26, 10] self-dual codes with an automorphism of order 5. This completes the classification of all such codes with an automorphism of odd prim order p > 3. There are exactly 18777 such codes having an automorphism of type 5 − (10, 2). One of the constructed codes have weight enumerator W52,2 for β = 10 thus completely determines the weight enumerators for which there exists a binary self-dual [52, 26, 10] code.
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تاریخ انتشار 2012