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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.

Citation

Brown, G., & Kasprzyk, A. M. (2013). Seven new champion linear codes. LMS Journal of Computation and Mathematics, 16, doi:10.1112/S1461157013000041

Journal Article Type Article
Publication Date May 15, 2013
Deposit Date Nov 12, 2015
Publicly Available Date Nov 12, 2015
Journal LMS Journal of Computation and Mathematics
Electronic ISSN 1461-1570
Publisher London Mathematical Society
Peer Reviewed Peer Reviewed
Volume 16
DOI https://doi.org/10.1112/S1461157013000041
Public URL http://eprints.nottingham.ac.uk/id/eprint/30736
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.nottingham.ac.uk/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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