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Geometric Reed-Solomon codes of length 64 and 65 over F8

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2 Author(s)
Chien-Yu Chen ; Dept. of Math., Univ. of Illinois, Urbana, IL, USA ; Duursma, I.M.

We determine the actual parameters for a class of one-point codes of length 64 and 65 over F8 defined by Hansen and Stichtenoth (1990). Several codes have a minimum distance that exceeds the Feng-Rao bound. The codes with parameters [64,5,51], [64,10,42], [64,11,42], [64,12,40], [65,5,52], [65,10,43], [65,11,42], [65,12,41], and [65,13,40] are better than any known code.

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