Mokshi Goyal

activity

20152022

most citedPolyadic cyclic codes over a non-chain ring

F_{q} [u, v] / ⟨ f (u), g (v), uv - v u ⟩

3 citations · 5 across the 5 of their papers we have counts for

collaborators

5 papers

cs.IT2022★ 1 cited

New Quantum codes from constacyclic codes over a general non-chain ring

Swati Bhardwaj, Mokshi Goyal, Madhu Raka

Let $q$ be a prime power and let $R = F_{q} [u_{1}, u_{2}, \dots, u_{k}] / ⟨ f_{i} (u_{i}), u_{i} u_{j} - u_{j} u_{i} ⟩$ be a finite non-chain ring, where $f_i(u_i), 1\leq i \leq…

cs.IT2018★ 3 cited

Polyadic cyclic codes over a non-chain ring $F_{q} [u, v] / ⟨ f (u), g (v), uv - v u ⟩$

Mokshi Goyal, Madhu Raka

Let $f (u)$ and $g (v)$ be any two polynomials of degree $k$ and $ℓ$ respectively ( $k$ and $ℓ$ are not both $1$ ), which split into distinct linear factors over $F_{q}$ …

cs.IT2018

Duadic negacyclic codes over a finite non-chain ring and their Gray images

Mokshi Goyal, Madhu Raka

Let $f (u)$ be a polynomial of degree $m, m \geq 2,$ which splits into distinct linear factors over a finite field $F_{q}$ . Let $\mathcal{R}=\mathbb{F}_{q}[u]/\langle f(u)\…

math.NT2016★ 1 cited

Quadratic residue codes over the ring $F_{p} [u] / ⟨ u^{m} - u ⟩$ and their Gray images

Mokshi Goyal, Madhu Raka

Let $m \geq 2$ be any natural number and let $R = F_{p} + u F_{p} + u^{2} F_{p} + \dots + u^{m - 1} F_{p}$ be a finite non-chain ring, where $u^{m} = u$ an…

math.NT2015

$(1 - 2 u^{3})$ -constacyclic codes and quadratic residue codes over $F_{p} [u] / ⟨ u^{4} - u ⟩$

Madhu Raka, Leetika Kathuria, Mokshi Goyal

Let $R = F_{p} + u F_{p} + u^{2} F_{p} + u^{3} F_{p}$ with $u^{4} = u$ be a finite non-chain ring, where $p$ is a prime congruent to $1$ modulo $3$ . In t…

New Quantum codes from constacyclic codes over a general non-chain ring

Polyadic cyclic codes over a non-chain ring Fq​[u,v]/⟨f(u),g(v),uv−vu⟩

Duadic negacyclic codes over a finite non-chain ring and their Gray images

Quadratic residue codes over the ring Fp​[u]/⟨um−u⟩ and their Gray images

(1−2u3)-constacyclic codes and quadratic residue codes over Fp​[u]/⟨u4−u⟩

Polyadic cyclic codes over a non-chain ring $F_{q} [u, v] / ⟨ f (u), g (v), uv - v u ⟩$

Quadratic residue codes over the ring $F_{p} [u] / ⟨ u^{m} - u ⟩$ and their Gray images

$(1 - 2 u^{3})$ -constacyclic codes and quadratic residue codes over $F_{p} [u] / ⟨ u^{4} - u ⟩$