A1 Refereed original research article in a scientific journal

ON THE NORMALITY OF MULTIPLE COVERING CODES




AuthorsHONKALA I

PublisherELSEVIER SCIENCE BV

Publication year1994

JournalDiscrete Mathematics

Journal name in sourceDISCRETE MATHEMATICS

Journal acronymDISCRETE MATH

Volume125

Issue1-3

First page 229

Last page239

Number of pages11

ISSN0012-365X

DOIhttps://doi.org/10.1016/0012-365X(94)90164-3


Abstract
A binary code C of length n is called a mu-fold r-covering if every binary word of length n is within Hamming distance r of at least mu codewords of C. The normality and the amalgamated direct sum (ADS) construction of 1-fold coverings have been extensively studied. In this paper we generalize the concepts of subnormality and normality to p-fold coverings and discuss how the ADS construction can be applied to them. In particular, we show that for r = 1, 2 all binary linear mu-fold r-coverings of length at least 2r + 1 and mu-fold normal.


Research Areas



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