2000 character limit reached
Function-Correcting Codes for Symbol-Pair Read Channels (2312.16271v1)
Published 26 Dec 2023 in cs.IT and 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.