9 papers
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…
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…
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…
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…
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…