R. Sarma

activity

20042026

C_{D}

-codes over

F_{2} [x] / ⟨ x^{3} - x ⟩

are really nice!

4 citations · 11 across the 16 of their papers we have counts for

collaborators

16 papers

cs.IT2026

Skew Polycyclic Codes over $\frac{F _{p^{m}} [ u ]}{⟨ u ^{t} ⟩}$

Akanksha Tiwari, Ritumoni Sarma

Let $R^{t}$ denote the finite chain ring $\frac{F _{p^{m}} [ u ]}{⟨ u ^{t} ⟩},$ where $p$ is a prime and $t$ is a positive integer. In this article, for a prime $p$ and a…

cs.IT2026

Constacyclic codes of length $n p^{s}$ over $\frac{F _{p^{m}} [ u ]}{⟨ u ^{t} ⟩}$ : Torsions and Cardinalities

Akanksha Tiwari, Pramod Kanwar, Ritumoni Sarma

The purpose of this article is to study constacyclic codes of length $n p^{s}$ over $R^{t} := \frac{F _{p^{m}} [ u ]}{⟨ u ^{t} ⟩},$ where $t$ is a natural number and $\gcd(n,…

cs.IT2026

Structure of Polycyclic Codes over $\frac{F _{p^{m}} [ u ]}{⟨ u ^{t} ⟩}$ and their Cardinalities

Akanksha Tiwari, Pramod Kanwar, Ritumoni Sarma

The purpose of this article is to study polycyclic codes over the ring $\frac{F _{p^{m}} [ u ]}{⟨ u ^{t} ⟩}, t \geq 1$ , and their associated torsion codes. It is show…

cs.IT2024★ 4 cited

Subfield codes of $C_{D}$ -codes over $F_{2} [x] / ⟨ x^{3} - x ⟩$ are really nice!

Anuj Kumar Bhagat, Ritumoni Sarma, Vidya Sagar

A non-zero $F$ -linear map from a finite-dimensional commutative $F$ -algebra to $F$ is called an $F$ -valued trace if its kernel does not contain…

cs.IT2023

Minimal and Optimal binary codes obtained using $C_{D}$ -construction over the non-unital ring $I$

Vidya Sagar, Ritumoni Sarma

In this article, we construct linear codes over the commutative non-unital ring $I$ of size four. We obtain their Lee-weight distributions and study their binary Gray images. Under…

cs.IT2023★ 1 cited

Codes over the non-unital non-commutative ring $E$ using simplicial complexes

Vidya Sagar, Ritumoni Sarma

There are exactly two non-commutative rings of size $4$ , namely, $E = ⟨ a, b ∣ 2 a = 2 b = 0, a^{2} = a, b^{2} = b, ab = a, ba = b ⟩$ and its opposite ring $F$ . These ri…

Skew Polycyclic Codes over ⟨ut⟩Fpm​[u]​

Constacyclic codes of length nps over ⟨ut⟩Fpm​[u]​: Torsions and Cardinalities

Structure of Polycyclic Codes over ⟨ut⟩Fpm​[u]​ and their Cardinalities

Subfield codes of CD​-codes over F2​[x]/⟨x3−x⟩ are really nice!

Minimal and Optimal binary codes obtained using CD​-construction over the non-unital ring I

Codes over the non-unital non-commutative ring E using simplicial complexes

Skew Polycyclic Codes over $\frac{F _{p^{m}} [ u ]}{⟨ u ^{t} ⟩}$

Constacyclic codes of length $n p^{s}$ over $\frac{F _{p^{m}} [ u ]}{⟨ u ^{t} ⟩}$ : Torsions and Cardinalities

Structure of Polycyclic Codes over $\frac{F _{p^{m}} [ u ]}{⟨ u ^{t} ⟩}$ and their Cardinalities

Subfield codes of $C_{D}$ -codes over $F_{2} [x] / ⟨ x^{3} - x ⟩$ are really nice!

Minimal and Optimal binary codes obtained using $C_{D}$ -construction over the non-unital ring $I$

Codes over the non-unital non-commutative ring $E$ using simplicial complexes