8 papers · 1 filter
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--…
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…
Optimal binary codes from -codes over a non-chain ring
Ankit Yadav, Ritumoni Sarma, Anuj Kumar Bhagat
In \cite{shi2022few-weight}, Shi and Li studied -codes over the ring and their binary Gray images, wh…
Non-RS MDS Codes via Row-Column Twists
Anuj Kumar Bhagat, Harshdeep Singh, Ritumoni Sarma
This article introduces a new class of codes, called row-column twisted Reed--Solomon (RCTRS) codes, motivated by the constructions in (Beelen et al. \cite{beelen2017twisted}) and…
-cyclic codes over and their applications in the construction of quantum codes
Akanksha, Anuj Kumar Bhagat, Ritumoni Sarma
In this article, for a finite field and a natural number let denote the product ring Firstly, for an automorphism of $\mathc…