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

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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.

Item Type: Article
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.
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1112/S1461157013000041
Related URLs:
URLURL Type
https://www.lms.ac.uk/publications/journalsPublisher
Depositing User: Kasprzyk, Dr Alexander
Date Deposited: 12 Nov 2015 11:48
Last Modified: 13 Sep 2016 23:51
URI: http://eprints.nottingham.ac.uk/id/eprint/30736

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