arXiv subjects

Satyadeep Pandey

Publications and source records attributed to Satyadeep Pandey.

2 recordsLinked to original sources

arXiv2026

$W-\delta-\mu$ dual codes and LCD codes

We introduce a new product on the ambient space $F_q^n$ as a generalization of Euclidean, Hermitian and $\delta$ products. We give some general properties of the dual codes, relation with Euclidean duals, definition and characterization of self orthogonal, self dual, dual containing and LCD codes along with certain existence conditions. Also, we calculate the dual codes of some classes of codes like repetition, binary and $\lambda$-constacyclic codes with respect to this product. Further, we extend and analyse this notion of the product for codes over semisimple rings.

cs.IT↗

arXiv2026

On concatenation of matrices for reversible linear codes over a finite commutative ring and applications to DNA codes

In this paper, we develop a generalized framework for constructing reversible linear, reversible self dual and reversible DNA codes using a matrix-theoretic approach based on involutory matrices. The proposed concatenation scheme gives a large class of generator matrices and yields codes with good parameters. The construction is carried out at the level of linear codes and then extended to DNA codes. Using a matrix product approach, we provide a unified method for analysis and proof. Further, we resolve an open problem raised by Oztas et.al. and also we correct and improve some results of them.

cs.IT↗