4 citations · 4 across the 9 of their papers we have counts for
10 papers
Chordal Construction of Column-Twisted Reed--Solomon Codes
Anuj Kumar Bhagat, Krishna Kaipa
A Generalized Reed--Solomon (GRS) code can be represented, up to monomial equivalence, by a projective system consisting of points on a degree rational normal…
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…
Subfield codes of -codes over are really nice!
Anuj Kumar Bhagat, Ritumoni Sarma, Vidya Sagar
A non-zero -linear map from a finite-dimensional commutative -algebra to is called an -valued trace if its kernel does not contain…
-valued trace of a finite-dimensional commutative -algebra
Anuj Kr Bhagat, Ritumoni Sarma
A non-zero -valued -linear map on a finite dimensional -algebra is called an -valued trace if its kernel does not contain any non-ze…
On the exponent of cyclic codes
Anuj Kumar Bhagat, Ritumoni Sarma
We propose an algorithm to find a lower bound for the number of cyclic codes over any finite field with any given exponent. Besides, we give a formula to find the exponent of BCH c…