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Function-Correcting Codes for Insertion-Deletion Channel
Anamika Singh, Abhay Kumar Singh
In coding theory, handling errors that occur when symbols are inserted or deleted from a transmitted message is a long-standing challenge. Optimising redundancy for insertion and d…
Weight distributions of two classes of linear codes with few weights derived from Weil sums
Mrinal Kanti Bose, Abhay Kumar Singh
Linear codes with few weights have been a subject of study for many years, as they have applications in secret sharing, authentication codes, association schemes, and strongly regu…
On Function-Correcting Codes in the Lee Metric
Gyanendra K. Verma, Abhay Kumar Singh
Function-correcting codes are a coding framework designed to minimize redundancy while ensuring that specific functions or computations of encoded data can be reliably recovered, e…
Function-Correcting -symbol Codes for Locally -Functions
Gyanendra K. Verma, Anamika Singh, Abhay Kumar Singh
The family of functions plays a central role in the design and effectiveness of function-correcting codes. By focusing on a well-defined family of functions, function-correcting co…
Code size constraints in b-symbol read channels: A bound analysis
Gyanendra K. Verma, Nupur Patanker, Abhay Kumar Singh
In classical coding theory, error-correcting codes are designed to protect against errors occurring at individual symbol positions in a codeword. However, in practical storage and…
Binary cyclic codes from permutation polynomials over
Mrinal Kanti Bose, Udaya Parampalli, Abhay Kumar Singh
Binary cyclic codes having large dimensions and minimum distances close to the square-root bound are highly valuable in applications where high-rate transmission and robust error c…
Function-Correcting Codes for b-Symbol Read Channels
Anamika Singh, Abhay Kumar Singh, Eitan Yaakobi
Function-correcting codes are an innovative class of codes that are designed to protect a function evaluation of the data against errors or corruptions. Due to its usefulness in ma…