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arXiv · 2312.16271

Function-Correcting Codes for Symbol-Pair Read Channels

Qingfeng Xia·Hongwei Liu·Bocong Chen
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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.

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Qingfeng Xia, Hongwei Liu, Bocong Chen. 2023-12-26. Function-Correcting Codes for Symbol-Pair Read Channels. https://arxiv.org/abs/2312.16271

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