Journal article
Perfect Codes Correcting a Single Burst of Limited-Magnitude Errors
Abstract
Motivated by applications to DNA-storage, flash memory, and magnetic recording, we study perfect burst-correcting codes for the limited-magnitude error channel. These codes are lattices that tile the integer grid with the appropriate error ball. We construct two classes of such perfect codes correcting a single burst of length 2, where each error affects the corresponding position by increasing it by one, both for cyclic and non-cyclic bursts. …
Authors
Wei H; Schwartz M
Journal
IEEE Transactions on Information Theory, Vol. 69, No. 2, pp. 951–962
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Publication Date
February 1, 2023
DOI
10.1109/tit.2022.3213239
ISSN
0018-9448