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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/12606

Title: Seven new champion linear codes
Authors: Brown, Gavin
Kasprzyk, Alexander M.
Issue Date: 2013
Publisher: Cambridge Journals Online; London Mathematical Society © The Author(s)
Citation: BROWN, G. and KASPRZYK, A.M., 2013. Seven new champion linear codes. LMS Journal of Computation and Mathematics, 16, pp. 109 - 117.
Abstract: 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 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.
Description: This article was published in the LMS Journal of Computation and Mathematics [© The Author(s)].
Version: Published
DOI: 10.1112/S1461157013000041
URI: https://dspace.lboro.ac.uk/2134/12606
Publisher Link: http://dx.doi.org/10.1112/S1461157013000041
ISSN: 1461-1570
Appears in Collections:Published Articles (Maths)

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