6 papers · 2 filters
Hermitian Duality and Syndrome Structure of CSS-Type Codes over the ring
Akanksha Tiwari, Ritumoni Sarma
We study the algebraic structure of principal ideal codes and CSS-type stabilizer constructions over the ring where every prime divisor of is congruent t…
Linear Codes over associated with Simplicial Complexes, Their Gray Images, and Subfield Codes
Ankit Yadav, Akanksha Tiwari, Ritumoni Sarma
In recent years, simplicial complexes have gained considerable attention as a useful tool for constructing distance-optimal codes over finite fields. In this article, we construct…
New Constructions of Additive MDS TRS Codes
Anuj Kumar Bhagat, Ankit Yadav, Ritumoni Sarma
Additive codes over finite fields generalize linear codes, and additive MDS codes provide a natural extension of linear MDS codes. In this article, we study additive twisted Reed--…
New Quaternary codes with small Plotkin-defects from two-generator simplicial complexes
Ankit Yadav, Nilay Kumar Mondal, Ritumoni Sarma
A recent characterization of all lengths of Plotkin-optimal quaternary (that is, over the ring ) codes of arbitrary type \cite{tang2025plotkin} also pins down the par…
Cryptographic Applications of Twisted Goppa Codes
Harshdeep Singh, Anuj Kumar Bhagat, Ritumoni Sarma +1
This article defines multi-twisted Goppa (MTG) codes as subfield subcodes of duals of multi-twisted Reed-Solomon (MTRS) codes and examines their properties. We show that if is…
On the Euclidean duals of the cyclic codes generated via cyclotomic polynomials
Anuj Kumar Bhagat, Ritumoni Sarma
For a natural number which is co-prime to Char, let and denote the cyclic codes of length over genera…