New lower bounds on q-ary error-correcting codes

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Abstract

Let Aq (n, d) denote the maximum size of a q-ary code with length n and minimum distance d. For most values of n and d, only lower and upper bounds on Aq (n, d) are known. In this paper new lower bounds on and updated tables of Aq (n, d) for q ∈ {3, 4, 5} are presented. The new bounds are obtained through an extensive computer search for codes with prescribed groups of automorphisms. Groups that act transitively on the (coordinate,value) pairs as well as groups with certain other closely related actions are considered.

Details

Original languageEnglish
Pages (from-to)881-889
Number of pages9
JournalCRYPTOGRAPHY AND COMMUNICATIONS
Volume11
Issue number5
Publication statusPublished - 15 Sep 2019
MoE publication typeA1 Journal article-refereed

    Research areas

  • Automorphism groups, Bounds on codes, Error-correcting codes, Transitive groups

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