14 papers
On -rank additive intersection pairs (RAIP) of codes
Sanjit Bhowmick, Kuntal Deka, Sihem Mesnager
This paper introduces and studies \(\ell\)-rank additive intersection pairs (RAIP) of codes over finite fields for a given positive integer \(\ell\). The notion of \(\ell\)-RAIP pr…
Function-Correcting RT Codes: A Coding Framework for Parallel Channels
Huiying Liu, Hongwei Liu, Sihem Mesnager
Function-correcting codes have recently emerged as an effective approach to reducing coding redundancy when the objective is to reliably recover only the prescribed function values…
Structure and Construction of Two-Dimensional Minimal Linear Codes over the rings 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…
Beyond Polynomials: Optimal Locally Recoverable Codes from Good Rational Functions
Hengfeng Liu, Sihem Mesnager, Chunming Tang +1
Locally recoverable codes (LRCs) have emerged as fundamental objects in modern coding theory, primarily due to their pivotal role in distributed and cloud storage systems. A major…
A Post-Quantum Secure End-to-End Verifiable E-Voting Protocol Based on Multivariate Polynomials
Vikas Srivastava, Debasish Roy, Sihem Mesnager +3
Voting is a primary democratic activity through which voters select representatives or approve policies. Conventional paper ballot elections have several drawbacks that might compr…
Function-Based Minimal Linear Codes over Galois Rings : 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 -dimensional minima…