Seven new champion linear codes
Brown, Gavin and Kasprzyk, Alexander M. (2013) Seven new champion linear codes. LMS Journal of Computation and Mathematics, 16 . pp. 109-117. ISSN 1461-1570
Official URL: http://dx.doi.org/10.1112/S1461157013000041
We 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 F₈, 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] x [0,5] lattice square.
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