M. Raka

activity

20142024

most citedPolyadic cyclic codes over a non-chain ring

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

3 citations · 7 across the 12 of their papers we have counts for

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7 papers · 1 filter

math.NT2024

Positive values of non-homogeneous quadratic forms of type (1,4): A conjecture of Bambah, Dumir and Hans-Gill

Swati Bhardwaj, Leetika Kathuria, Madhu Raka

Let $Q (x_{1}, \dots, x_{n})$ be a real indefinite quadratic form of the type $(r, s)$ , $n = r + s$ , signature $σ = r - s$ and determinant $D \neq = 0$ . Let $Γ_{r, n - r}$ denote the infimum of all nu…

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…

math.NT2018

Good integers : A note on results of Jitman and Prugsapitak

Madhu Raka

In this paper, we fix some errors made by Jitman [1] and by Prugsapitak and Jitman [3] while characterizing good integers and $2^{β}$ -good integers.

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…

math.NT2015

Refined Estimates on Conjectures of Woods and Minkowski

Leetika Kathuria, Madhu Raka

Let $\land$ be a lattice in $R^{n}$ reduced in the sense of Korkine and Zolotareff having a basis of the form $(A_{1}, 0, 0, \dots, 0), (a_{2, 1}, A_{2}, 0, \dots, 0)$ , $\ldots,(a_{n,1…

math.NT2014★ 2 cited

On Conjectures of Minkowski and Woods for n=9

Leetika Kathuria, Madhu Raka

Let $R^{n}$ be the n-dimensional Euclidean space with $O$ as the origin. Let $\land$ be a lattice of determinant $1$ such that there is a sphere $∣ X ∣ < R$ which contains no p…

Positive values of non-homogeneous quadratic forms of type (1,4): A conjecture of Bambah, Dumir and Hans-Gill

On conjectures of Minkowski and Woods for n=10

Good integers : A note on results of Jitman and Prugsapitak

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⟩

Refined Estimates on Conjectures of Woods and Minkowski

On Conjectures of Minkowski and Woods for n=9

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

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 $F_{p} [u] / ⟨ u^{4} - u ⟩$