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Weight enumerators of extremal singly-even [60,30,12] codes

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2 Author(s)
Gulliver, T.A. ; Dept. of Syst. & Comput. Eng., Carleton Univ., Ottawa, Ont., Canada ; Harada, M.

Conway and Sloane (1990) have listed the possible weight enumerators for extremal self-dual codes up to length 72. In this correspondence, we construct extremal singly-even self-dual [60,30,12] codes whose weight enumerator does not appear in this list. In addition, we present the possible weight enumerators for extremal self-dual codes of length 60

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Information Theory, IEEE Transactions on  (Volume:42 ,  Issue: 2 )