5 papers · 1 filter
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…
-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…