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Seven new champion linear codes

Brown, Gavin; Kasprzyk, Alexander M.

Authors

Gavin Brown

Alexander M. Kasprzyk

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 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.

Journal Article Type Article
Publication Date May 15, 2013
Journal LMS Journal of Computation and Mathematics
Electronic ISSN 1461-1570
Publisher London Mathematical Society
Peer Reviewed Peer Reviewed
Volume 16
Institution Citation Brown, G., & Kasprzyk, A. M. (2013). Seven new champion linear codes. LMS Journal of Computation and Mathematics, 16, doi:10.1112/S1461157013000041
DOI https://doi.org/10.1112/S1461157013000041
Publisher URL http://dx.doi.org/10.1112/S1461157013000041
Related Public URLs https://www.lms.ac.uk/publications/journals
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information Peer reviewed article published: Gavin Brown and Alexander M. Kasprzyk (2013). Seven new champion linear codes. LMS Journal of Computation and Mathematics, 16, pp 109-117. doi:10.1112/S1461157013000041.

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf




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