Lecture Notes in Computer Science, 1989, Volume 388/1989, 209-212, DOI: 10.1007/BFb0019859

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

Patrice Rabizzoni

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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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