3 papers
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
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…
cs.IT2025
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…