M. Raka

activity

20182022

most citedNew Quantum codes from constacyclic codes over a general non-chain ring

1 citations · 1 across the 4 of their papers we have counts for

collaborators

9 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.IT2022

Skew Cyclic Codes Over A Finite Ring : A Note on a result of Mohammadi et al

Swati Bhardwaj, Madhu Raka

In this small note we correct an error made by Mohammadi et al. in their paper entitled "On Skew Cyclic Codes Over A Finite Ring" ( Iranian Jl. Math. Sci. Inform. Vol 14 (1) (2019)…

cs.IT2022

Multi-dimensional Constacyclic Codes of Arbitrary Length over Finite Fields

Swati Bhardwaj, Madhu Raka

Multi-dimensional cyclic code is a natural generalization of cyclic code. In an earlier paper we explored two-dimensional constacyclic codes over finite fields. Following the same…

math.NT2020

On conjectures of Minkowski and Woods for $n = 10$

Leetika Kathuria, Madhu Raka

Let $L$ be a lattice in $n$ -dimensional Euclidean space $R^{n}$ reduced in the sense of Korkine and Zolotareff and having a basis of the form $(A_{1}, 0, 0, \dots$ $,0…

cs.IT2020

Two Dimensional $(α, β)$ -Constacyclic Codes of arbitrary length over a Finite Field

Swati Bhardwaj, Madhu Raka

In this paper we characterize the algebraic structure of two-dimensional $(α, β)$ -constacyclic codes of arbitrary length $s . ℓ$ and of their duals. For $α, β \in {1, - 1}$ , we give…

cs.IT2019

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

Swati Bhardwaj, Madhu Raka

Let $f (u)$ and $g (v)$ be two polynomials of degree $k$ and $ℓ$ respectively, not both linear, which split into distinct linear factors over $F_{q}$ . Let $\mathcal{R}=\m…

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

Skew Cyclic Codes Over A Finite Ring : A Note on a result of Mohammadi et al

Multi-dimensional Constacyclic Codes of Arbitrary Length over Finite Fields

On conjectures of Minkowski and Woods for n=10

Two Dimensional (α,β)-Constacyclic Codes of arbitrary length over a Finite Field

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

On conjectures of Minkowski and Woods for $n = 10$

Two Dimensional $(α, β)$ -Constacyclic Codes of arbitrary length over a Finite Field

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