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Extremal binary self-dual codes

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3 Author(s)
Dougherty, S.T. ; Dept. of Math., Univ. of Scranton, PA, USA ; Gulliver, T.A. ; Harada, M.

In this correspondence, we investigate binary extremal self-dual codes. Numerous extremal self-dual codes and interesting self-dual codes with minimum weight d=14 and 16 are constructed. In particular, the first extremal Type I [86,43,16] code and new extremal self-dual codes with weight enumerators which were not previously known to exist for lengths 40,50,52 and 54 are constructed. We also determine the possible weight enumerators for extremal Type I codes of lengths 66-100

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Information Theory, IEEE Transactions on  (Volume:43 ,  Issue: 6 )