10 citations · 11 across the 7 of their papers we have counts for
7 papers
Annihilator and twisted Euclidean duality for quasi-polycyclic codes
Tushar Bag, Edgar Martínez-Moro, Daniel Panario
Let be a monic polynomial of degree with , and let . Under coefficient expansion, a quasi-polycyclic…
The Schur product of evaluation codes and its application to CSS-T quantum codes and private information retrieval
Şeyma Bodur, Fernando Hernando, Edgar Martínez-Moro +1
In this work, we study the componentwise (Schur) product of monomial-Cartesian codes by exploiting its correspondence with the Minkowski sum of their defining exponent sets. We sho…
Polycyclic codes over serial rings and their annihilator CSS construction
Maryam Bajalan, Edgar Martinez-Moro
In this paper, we investigate the algebraic structure for polycyclic codes over a specific class of serial rings, defined as $\mathscr R=R[x_1,\ldots, x_s]/\langle t_1(x_1),\ldots,…
Single Server Private Information Retrieval Protocols With Codes Over Rings
Şeyma Bodur, Edgar Martínez-Moro, Diego Ruano
A Private Information Retrieval (PIR) protocol based on coding theory for a single server is proposed. It provides computational security against linear algebra attacks, addressing…
On LCP codes over a mixed ring alphabet
Maryam Bajalan, Javier de la Cruz, Alexandre Fotue-Tabue +1
In this paper, we introduce a standard generator matrix for mixed-alphabet linear codes over finite chain rings. Furthermore, we show that, when one has a linear complementary pair…
Galois LCD codes over mixed alphabets
Maryam Bajalan, Alexandre Fotue-Tabue, Joël Kabore +1
We study (Galois) linear complementary dual codes over mixed alphabets arising from finite chain rings. We give a characterization of when a given code is of We study (Galois) line…
Codes over Affine Algebras with a Finite Commutative Chain coefficient Ring
E. Martínez-Moro, A. Piñera-Nicolás, I. F. Rúa
We consider codes defined over an affine algebra , where is a monic univariate polynomial…