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cs.IT2026
Data Protection in Function-Correcting Symbol-Pair Codes: Redundancy Bounds and Protection Profiles
Anamika Singh, Abhay Kumar Singh
In several storage systems, including DNA storage and flash memory, errors affect neighbouring symbols jointly, and the Hamming metric does not adequately capture such error patter…
cs.IT2026
Construction of cyclic codes with large minimum distance from power functions over odd characteristic finite fields
Mrinal Kanti Bose, Abhay Kumar Singh
Cyclic codes with dimensions exceeding half of the code length and minimum distance greater than the square root of the code length are of significant interest due to their high tr…
cs.IT2026
Function-Correcting Codes for Linear and Locally Bounded Functions Over a Finite Chain Ring
Gyanendra K. Verma, Abhay Kumar Singh
In this paper, we further extend the study of function-correcting codes in the homogeneous metric over a chain ring for broader classes of functions, namely, loc…