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Relation between the minimum weight of a linear code over GF(qm) and its q-ary image over GF(q)

  • Section III Combinatorial And Algebraic Aspects
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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 388))

Abstract

In this paper we give an upper bound for the minimum distance of the q-ary image of a linear code over GF(qs). This allows us to give some indications about the minimum distance of the q-ary image of MDS codes over GF(qs) when q=2 and q=3.

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References

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Gérard Cohen Jacques Wolfmann

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© 1989 Springer-Verlag Berlin Heidelberg

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Rabizzoni, P. (1989). Relation between the minimum weight of a linear code over GF(qm) and its q-ary image over GF(q). In: Cohen, G., Wolfmann, J. (eds) Coding Theory and Applications. Coding Theory 1988. Lecture Notes in Computer Science, vol 388. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0019859

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  • DOI: https://doi.org/10.1007/BFb0019859

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51643-9

  • Online ISBN: 978-3-540-46726-7

  • eBook Packages: Springer Book Archive

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