96 citations · 195 across the 69 of their papers we have counts for
76 papers
Optimal Ferrers Diagram Rank-Metric Codes: New Constructions, Diagram Combinations, and Applications to Constant-Dimension Subspace Codes
Fang-Wei Fu, Xuan Gao, Sihem Mesnager +1
In this paper, we present three new constructions of optimal FDRM codes, all derived from subcodes of maximum rank-distance (MRD) codes. The first construction (Theorem~\ref{theo5}…
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…
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…
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…
Constructions of linear codes from vectorial plateaued functions and their subfield codes with applications to quantum CSS codes
Virginio Fratianni, Sihem Mesnager
Linear codes over finite fields parameterized by functions have proven to be a powerful tool in coding theory, yielding optimal and few-weight codes with significant applications i…