Makhan Maji

activity

20232026

collaborators

6 papers

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…

cs.IT2025

Linear Codes Derived from the Structure of Unit Graphs Over $Z_{n}$

Apurba Sarkar, Kalyan Hansda, Makhan Maji

In this paper, we study the unit graph $G (Z_{n})$ , where $n$ is of the form $n = p_{1}^{n_{1}} p_{2}^{n_{2}} \dots p_{r}^{n_{r}}$ , with $p_{1}, p_{2}, \dots, p_{r}$ being distinct prime…

cs.IT2023

Structure and Construction of Two-Dimensional Minimal Linear Codes over the rings $Z_{p^{n}}$ with Applications to Secret Sharing

Biplab Chatterjee, Sihem Mesnager, Ratnesh Kumar Mishra +2

Minimal linear codes play an important role in coding theory and cryptography, particularly in the construction of secret sharing schemes. In this paper, we investigate the structu…

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

Linear Codes Derived from the Structure of Unit Graphs Over Zn​

Structure and Construction of Two-Dimensional Minimal Linear Codes over the rings Zpn​ with Applications to Secret Sharing

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

Linear Codes Derived from the Structure of Unit Graphs Over $Z_{n}$

Structure and Construction of Two-Dimensional Minimal Linear Codes over the rings $Z_{p^{n}}$ with Applications to Secret Sharing