Om Prakash

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cs.IT2026

Symplectic Hulls over a Non-Unital Ring

Anup Kushwaha, Om Prakash

This paper presents the study of the symplectic hulls over a non-unital ring $E = ⟨ κ, τ ∣ 2 κ = 2 τ = 0, κ^{2} = κ, τ^{2} = τ, κ τ = κ, τ κ = τ ⟩$ . We first identify the residue and…

cs.IT2025

Hulls of Free Linear Codes over a Non-Unital Ring

Anup Kushwaha, Om Prakash

This paper investigates the hull codes of free linear codes over a non-unital ring $E = ⟨ κ, τ ∣ 2 κ = 2 τ = 0, κ^{2} = κ, τ^{2} = τ, κ τ = κ, τ κ = τ ⟩$ . Initially, we examine the r…

cs.IT2025

Classification of LCD and self-dual codes over a finite non-unital local ring

Anup Kushwaha, Indibar Debnath, Om Prakash +1

This work explores LCD and self-dual codes over a noncommutative non-unital ring $E_{p} = ⟨ r, s ∣ p r = p s = 0, r^{2} = r, s^{2} = s, r s = r, sr = s ⟩$ of order $p^{2}$ where $p$ is…