Om Prakash

collaborators

3 papers

cs.IT2026

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…

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 $E = ⟨ I^º, I ¨ ∣ 2 I^º = 2 I ¨ = 0, I^º^{2} = I^º, I ¨ ^{2} = I ¨ , I^º I ¨ = I^º, I ¨ I^º = I ¨ ⟩$ . We first identify t…

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 $E = ⟨ I^º, I ¨ ∣ 2 I^º = 2 I ¨ = 0, I^º^{2} = I^º, I ¨ ^{2} = I ¨ , I^º I ¨ = I^º, I ¨ I^º = I ¨ ⟩$ . Initially, we…