A1 Refereed original research article in a scientific journal

ON (Q,1)-SUBNORMAL Q-ARY COVERING CODES




AuthorsHONKALA I

PublisherELSEVIER SCIENCE BV

Publication year1994

JournalDiscrete Applied Mathematics

Journal name in sourceDISCRETE APPLIED MATHEMATICS

Journal acronymDISCRETE APPL MATH

Volume52

Issue3

First page 213

Last page221

Number of pages9

ISSN0166-218X

DOIhttps://doi.org/10.1016/0166-218X(94)90141-4(external)


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.


Research Areas



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