11 citations · 22 across the 4 of their papers we have counts for
4 papers
Evaluation of iterated Ore polynomials and skew Reed-Muller codes
Andre Leroy, Nabil Bennenni
In this paper, we study two ways of evaluating iterated Ore polynomials. We provide many examples and compare these evaluations. We use the evaluation maps to construct Reed-Muller…
Scalar products and Left LCD codes
Nabil Bennenni, André Leroy
In this article, we introduce new scalar products over finite rings via additive isomorphisms. This allows us to define new notions of right (respectively left) orthogonal codes, t…
New DNA Cyclic Codes over Rings
Nabil Bennenni, Kenza Guenda, Sihem Mesnager
This paper is dealing with DNA cyclic codes which play an important role in DNA computing and have attracted a particular attention in the literature. Firstly, we introduce a new f…
Greedy Construction of DNA Codes and New Bounds
Nabil Bennenni, Kenza Guenda, T. Aaron Gulliver
In this paper, we construct linear codes over with bounded -content. The codes are obtained using a greedy algorithm over . Further, upper and lowe…