Journal article
On Lattice Packings and Coverings of Asymmetric Limited-Magnitude Balls
Abstract
We construct integer error-correcting codes and covering codes for the limited-magnitude error channel with more than one error. The codes are lattices that pack or cover the space with the appropriate error ball. Some of the constructions attain an asymptotic packing/covering density that is constant. The results are obtained via various methods, including the use of codes in the Hamming metric, modular ${B}_{{t}}$ -sequences, 2-fold Sidon …
Authors
Wei H; Wang X; Schwartz M
Journal
IEEE Transactions on Information Theory, Vol. 67, No. 8, pp. 5104–5115
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Publication Date
August 1, 2021
DOI
10.1109/tit.2021.3070462
ISSN
0018-9448