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On the non Z4-linearity of certain good binary codes

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2 Author(s)
Fields, J. ; Dept. of Math. Stat. & Comput. Sci., Illinois Univ., Chicago, IL, USA ; Gaborit, P.

In this correspondence we prove that any extremal doubly-even self-dual linear binary code of length 48 is not Z4-linear. We also show that the putative extremal doubly-even self-dual linear binary codes of lengths 72 and 96 with minimum weight, respectively, 16 and 20, cannot be constructed as the Gray images of linear codes over Z4

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Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 5 )