8 papers · 1 filter
New Quaternary codes with small Plotkin-defects from two-generator simplicial complexes
Ankit Yadav, Nilay Kumar Mondal, Ritumoni Sarma
In this article, we construct infinite families of quaternary (that is, over the ring ) -codes, where the defining set is derived utilizing a two…
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…
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…
-additive cyclic codes and their Gray images
Ankit Yadav, Ritumoni Sarma
We investigate additive cyclic codes over the alphabet , where is a prime power. First, its generator polynomials and minimal spanning set are d…
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…