Vidya Sagar

activity

20222026

C_{D}

-codes over

F_{2} [x] / ⟨ x^{3} - x ⟩

are really nice!

4 citations · 6 across the 9 of their papers we have counts for

collaborators

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8 papers · 1 filter

cs.IT2026

Construction of codes over a commutative non-unital ring from simplicial complexes and their applications

Vidya Sagar, Shikha Patel, Sanjay Kumar Singh

In this article, we investigate the construction of linear codes over a finite ring $S$ , where $S$ is taken to be an extension of a commutative non-unital ring…

cs.IT2025

Decoding Algorithms for Two-dimensional Constacyclic Codes over $F_{q}$

Vidya Sagar, Shikha Patel, Shayan Srinivasa Garani

We derive the spectral domain properties of two-dimensional (2-D) $(λ_{1}, λ_{2})$ -constacyclic codes over $F_{q}$ using the 2-D finite field Fourier transform (FFFT). Based on…

cs.IT2024

On the Structure of Two-Dimensional Constacyclic Codes using Common Zero Sets

Vidya Sagar, Shikha Patel, Ashutosh Singh +1

We consider two-dimensional $(λ_{1}, λ_{2})$ -constacyclic codes over $F_{q}$ of area $M N$ , where $q$ is some power of prime $p$ with $g cd (M, p) = 1$ and $g cd (N, p) = 1$ . With the…

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…

cs.IT2022★ 1 cited

Certain binary minimal codes constructed using simplicial complexes

Vidya Sagar, Ritumoni Sarma

In this manuscript, we work over the non-chain ring $R = F_{2} [u] / ⟨ u^{3} - u ⟩$ . Let $m \in N$ and let $L, M, N \subseteq [m]:=\{1, 2, \dots, m\…

cs.IT2022

Linear codes using simplicial complexes

Vidya Sagar, Ritumoni Sarma

Certain simplicial complexes are used to construct a subset $D$ of $F_{2^{n}}^{m}$ and $D$ , in turn, defines the linear code $C_{D}$ over $F_{2^{n}}$ that consists of $…

Construction of codes over a commutative non-unital ring from simplicial complexes and their applications

Decoding Algorithms for Two-dimensional Constacyclic Codes over Fq​

On the Structure of Two-Dimensional Constacyclic Codes using Common Zero Sets

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

Certain binary minimal codes constructed using simplicial complexes

Linear codes using simplicial complexes

Decoding Algorithms for Two-dimensional Constacyclic Codes over $F_{q}$

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