4 papers
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…
Quasi-twisted codes and their connection with additive constacyclic codes over finite fields
Kanat Abdukhalikov, Gyanendra K. Verma
In this paper, we study quasi-twisted codes and their relationship with additive constacyclic codes through a polynomial-based approach. We first present a polynomial characterizat…
On S-Integral Domains and S-Version of Krull Intersection Theorem
Tushar Singh, Gyanendra K. Verma, Shiv Datt Kumar
Let be a multiplicatively closed subset of a ring . We extend several results on integral domains to their -versions and establish the -version of Krull int…
Applications and Challenges of AI and Microscopy in Life Science Research: A Review
Himanshu Buckchash, Gyanendra Kumar Verma, Dilip K. Prasad
The complexity of human biology and its intricate systems holds immense potential for advancing human health, disease treatment, and scientific discovery. However, traditional manu…