A1 Journal article – refereed
ON (Q,1)-SUBNORMAL Q-ARY COVERING CODES




List of Authors: HONKALA I
Publisher: ELSEVIER SCIENCE BV
Publication year: 1994
Journal: Discrete Applied Mathematics
Journal name in source: DISCRETE APPLIED MATHEMATICS
Journal acronym: DISCRETE APPL MATH
Volume number: 52
Issue number: 3
ISSN: 0166-218X

Abstract
We show that if q not-equal 3 is a prime power and there exists a (q, n, M) 1 code, i.e., a q-ary code of length n with M codewords and covering radius 1 then there exists also a (q, 1)-subnormal (q, qn + 1, q((q-1)n)M) 1 code. We also show that all nontrivial linear q-ary codes with covering radius 1 are (q, 1)-subnormal with the exception of the ternary [4, 2]1 Hamming code.


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