activity
20172022
most citedCyclic codes over a non-chain ring and their application to LCD codes

1 citations · 1 across the 6 of their papers we have counts for

collaborators

15 papers

math.NT2022

A note on class number of certain real cyclotomic field

Om Prakash

We construct an infinite family of real cyclotomic fields with non-trivial class group. This result generalizes the result in [1] in the sense that our family includes theirs.

cs.IT20211 cited

Cyclic codes over a non-chain ring and their application to LCD codes

Habibul Islam, Edgar Martínez-Moro, Om Prakash

Let be a finite field of order , a prime power integer such that where are integers. In this paper, we study cyclic codes of length

cs.IT2020

New non-binary quantum codes from skew constacyclic codes over the ring

Ram Krishna Verma, Om Prakash, Ashutosh Singh

In this article, we construct new non-binary quantum codes from skew constacyclic codes over finite commutative non-chain ring $\mathcal{R}= \mathbb{F}_{p^m}[v]/\langle v^3 =v \ran…

cs.IT2019

Reversible cyclic codes over

Om Prakash, Shikha Patel, Shikha Yadav

Let be a power of a prime . In this paper, we study reversible cyclic codes of arbitrary length over the ring , where . Firs…

cs.LO2019

Parameterised Counting in Logspace

Anselm Haak, Arne Meier, Om Prakash +1

In this paper, we introduce a new framework for parameterised counting in logspace, inspired by the parameterised space bounded models developed by Elberfeld, Stockhusen and Tantau…

math.CO2018

Adjacency Matrix and Energy of the Line Graph of

Sheela Suthar, Om Prakash

Let be the zero divisor graph of the commutative ring and be the line graph of . In this paper, we discuss ab…