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Some new extremal codes of lengths 76 and 78

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2 Author(s)
Baartmans, A. ; Dept. of Math. Sci., Michigan Technol. Univ., Houghton, MI, USA ; Yorgov, V.

We find new extremal [76,38,14] and [78,39,14] binary self-dual codes. The code of length 76 is the first known self-dual code with these parameters. It is shadow extremal and the shortest known self-dual code with minimal distance 14. It has an automorphism of order 19 without fixed coordinates. The code of length 78 has a new weight enumerator and an automorphism of order 19 with two fixed coordinates.

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Information Theory, IEEE Transactions on  (Volume:49 ,  Issue: 5 )