Function-Correcting Codes for Symbol-Pair Read Channels
Information Theory
2023-12-29 v1 math.IT
Abstract
Function-correcting codes are a class of codes designed to protect the function evaluation of a message against errors whose key advantage is the reduced redundancy. In this paper, we extend function-correcting codes from binary symmetric channels to symbol-pair read channels. We introduce irregular-pair-distance codes and connect them with function-correcting symbol-pair codes. Using the connection, we derive general upper and lower bounds on the optimal redundancy of function-correcting symbol-pair codes. For ease of evaluation, we simplify these bounds and employ the simplified bounds to specific functions including pair-locally binary functions, pair weight functions and pair weight distribution functions.
Cite
@article{arxiv.2312.16271,
title = {Function-Correcting Codes for Symbol-Pair Read Channels},
author = {Qingfeng Xia and Hongwei Liu and Bocong Chen},
journal= {arXiv preprint arXiv:2312.16271},
year = {2023}
}
Comments
17 pages, 2 figures, 2 tables