Shikha Patel

collaborators

4 papers

cs.IT2026

Construction of codes over a commutative non-unital ring from simplicial complexes and their applications

Vidya Sagar, Shikha Patel, Sanjay Kumar Singh

In this article, we investigate the construction of linear codes over a finite ring $S$ , where $S$ is taken to be an extension of a commutative non-unital ring…

cs.IT2026

Construction of Cyclic Codes over a Class of Matrix Rings

Soham Ravikant Joshi, Shikha Patel, Om Prakash

Let $F_{2} [u] / ⟨ u^{k} ⟩ = F_{2} + u F_{2} + u^{2} F_{2} + \dots + u^{k - 1} F_{2},$ where $u^{k} = 0$ for a positive integer $k$ , and $\mathcal{R}=M_4 (\mat…

cs.IT2025

On the Structure of Two-Dimensional Constacyclic Codes using Common Zero Sets

Vidya Sagar, Shikha Patel, Ashutosh Singh +1

We consider two-dimensional $(I^»_{1}, I^»_{2})$ -constacyclic codes over $F_{q}$ of area $M N$ , where $q$ is some power of prime $p$ with $g cd (M, p) = 1$ and $g cd (N, p) = 1$ . With t…

cs.IT2025

Decoding Algorithms for Two-dimensional Constacyclic Codes over $F_{q}$

Vidya Sagar, Shikha Patel, Shayan Srinivasa Garani

We derive the spectral domain properties of two-dimensional (2-D) $(I^»_{1}, I^»_{2})$ -constacyclic codes over $F_{q}$ using the 2-D finite field Fourier transform (FFFT). Based o…

Construction of codes over a commutative non-unital ring from simplicial complexes and their applications

Construction of Cyclic Codes over a Class of Matrix Rings

On the Structure of Two-Dimensional Constacyclic Codes using Common Zero Sets

Decoding Algorithms for Two-dimensional Constacyclic Codes over Fq​

Decoding Algorithms for Two-dimensional Constacyclic Codes over $F_{q}$