Journal article
Linear covering codes and error-correcting codes for limited-magnitude errors
Abstract
The concepts of a linear covering code and a covering set for the limited-magnitude-error channel are introduced. A number of covering-set constructions, as well as some bounds, are given. In particular, optimal constructions are given for some cases involving small-magnitude errors. A problem of Stein is partially solved for these cases. Optimal packing sets and the corresponding error-correcting codes are also considered for some …
Authors
Kløve T; Schwartz M
Journal
Designs, Codes and Cryptography, Vol. 73, No. 2, pp. 329–354
Publisher
Springer Nature
Publication Date
November 2014
DOI
10.1007/s10623-013-9917-1
ISSN
0925-1022