Brown and Kasprzyk-codes.pdf (312.92 kB)
Download fileSeven new champion linear codes
journal contribution
posted on 2013-06-26, 10:59 authored by Gavin Brown, Alexander M. KasprzykWe exhibit seven linear codes exceeding the current best known minimum distance d for their dimension k and block length n . Each code is defined over F 8 , and their invariants [n,k,d] are given by [49,13,27] , [49,14,26] , [49,16,24] , [49,17,23] , [49,19,21] , [49,25,16] and [49,26,15] . Our method includes an exhaustive search of all monomial evaluation codes generated by points in the [0,5]×[0,5] lattice square.
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