Seven new champion linear codes

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 includ...

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Bibliographic Details
Main Authors: Brown, Gavin, Kasprzyk, Alexander M.
Format: Article
Published: London Mathematical Society 2013
Online Access:https://eprints.nottingham.ac.uk/30736/