Genetic algorithms in coding theory : a table for $A_3(n,d)$

R.J.M. Vaessens, E.H.L. Aarts, J.H. van Lint

Research output: Book/ReportBookScientific

Abstract

We consider the problem of finding values of $A_3(n,d)$, i.e. the maximal size of a ternary code of length n and minimum distance d. Our approach is based on a search for good lower bounds and a comparison of these bounds with known upper bounds. Several lower bounds are obtained using a genetic local search algorithm. Other lower bounds are obtained by constructing codes. For those cases in which lower and upper bounds coincide, this yields exact values of $A_3(n,d)$. A table is included containing the known values of the upper and lower bounds for $A_3(n,d)$, with n = 16. For some values of n and d the corresponding codes are given.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Publication statusPublished - 1991
Externally publishedYes

Publication series

NameMemorandum COSOR

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  • Cite this

    Vaessens, R. J. M., Aarts, E. H. L., & van Lint, J. H. (1991). Genetic algorithms in coding theory : a table for $A_3(n,d)$. (Memorandum COSOR). Technische Universiteit Eindhoven.