Makhan Maji

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20232026

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cs.IT2026

Graph-Based Linear Codes Associated with the Finite Ring $F_{p} [x] / ⟨ x^{4} ⟩$

Apurba Sarkar, Kalyan Hansda, Makhan Maji

We investigate the linear codes derived from the zero-divisor graph $Γ (R)$ of the finite local ring $R = F_{p} [x] / ⟨ x^{4} ⟩$ for an odd prime $p$ . Using an equitab…

cs.IT2026

Spectral Characterization and Network Systems Dynamics of Zero-Divisor Topologies over $F_{p} [x] / ⟨ x^{4} ⟩$ : Consensus, Reliability, and Transport

Apurba Sarkar, Kalyan Hansda, Makhan Maji

For an odd prime $p$ , let $Γ (R)$ denote the zero-divisor graph associated with the finite local ring $R = F_{p} [x] / ⟨ x^{4} ⟩$ , having $p^{3} - 1$ vertices and size $|…

cs.IT2026

Minimal Binary Linear Codes of Dimension n+4 from Partial Spreads and Their Dual Access Structures

Apurba Sarkar, Kalyan Hansda, Makhan Maji

Minimal linear codes have significant applications in secret sharing schemes, secure multi-party computation, and cryptography. In this paper, we propose a generic construction of…

cs.IT2026

Function-Based Minimal Linear Codes over Galois Rings $GR (p^{n}, ℓ)$ : Minimality Criteria and Infinite Constructions

Biplab Chatterjee, Sihem Mesnager, Ratnesh Kumar Mishra +2

In this paper, we extend a necessary and sufficient condition for a linear code over a Galois ring to be minimal and establish new bounds on the length of an $m$ -dimensional minima…

Graph-Based Linear Codes Associated with the Finite Ring Fp​[x]/⟨x4⟩

Spectral Characterization and Network Systems Dynamics of Zero-Divisor Topologies over Fp​[x]/⟨x4⟩: Consensus, Reliability, and Transport

Minimal Binary Linear Codes of Dimension n+4 from Partial Spreads and Their Dual Access Structures

Function-Based Minimal Linear Codes over Galois Rings GR(pn,ℓ): Minimality Criteria and Infinite Constructions

Graph-Based Linear Codes Associated with the Finite Ring $F_{p} [x] / ⟨ x^{4} ⟩$

Spectral Characterization and Network Systems Dynamics of Zero-Divisor Topologies over $F_{p} [x] / ⟨ x^{4} ⟩$ : Consensus, Reliability, and Transport

Function-Based Minimal Linear Codes over Galois Rings $GR (p^{n}, ℓ)$ : Minimality Criteria and Infinite Constructions