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On q-ary codes with two distances d and d+1

Published 23 Jun 2019 in cs.IT and math.IT | (1906.09645v1)

Abstract: The $q$-ary block codes with two distances $d$ and $d+1$ are considered. Several constructions of such codes are given, as in the linear case all codes can be obtained by a simple modification of linear equidistant codes. Upper bounds for the maximum cardinality of such codes is derived. Tables of lower and upper bounds for small $q$ and $n$ are presented.

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