10 citations · 17 across the 10 of their papers we have counts for
11 papers
Araki Cohomology of the de Sitter Scalar Discrete Series
Maryam Bajalan, Jean-Pierre Gazeau, Hamed Pejhan +1
Building on the recently established de Sitter (dS)-covariant indecomposable Krein realization of the scalar discrete-series unitary irreducible representations , $p=1,2,\…
de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography
Maryam Bajalan, Jean-Pierre Gazeau, Hamed Pejhan
We show that scalar discrete-series unitary irreducible representations (UIRs) () of the de Sitter (dS) group admit a dS-covariant Krei…
Skew polycyclic over finite chain rings associated to trinomials
Maryam Bajalan, Edgar Martínez-Moro, Hassan Ou-azzou
This work studies skew polycyclic codes over finite chain rings defined by central trinomials. For this class of codes, we investigate Hamming equivalence in the non-commutative (s…
Some structural properties of mixed orthogonal arrays and their irredundancy
Maryam Bajalan, Peter Boyvalenkov, Ferruh Özbudak
Mixed (asymmetric) orthogonal arrays (MOAs) generalize classical orthogonal arrays by allowing columns over different alphabets. However, their study requires very different struct…
Duality on group algebras over finite chain rings: applications to additive group codes
Maryam Bajalan, Javier de la Cruz, Alexandre Fotue Tabue +1
Given a finite group and an extension of finite chain rings , one can consider the group rings and . The group ring …
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,…
-polycyclic codes in Ore extensions over rings
Maryam Bajalan, Ivan Landjev, Edgar Martínez-Moro +1
In this paper, we study the algebraic structure of -polycyclic codes, defined as submodules in the quotient module , where is the Ore extension ring, $f\i…
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…
On the structure of repeated-root polycyclic codes over local rings
Maryam Bajalan, Edgar Martinez-Moro, Reza Sobhani +2
This paper provides the Generalized Mattson Solomon polynomial for repeated-root polycyclic codes over local rings that gives an explicit decomposition of them in terms of idempote…
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…
A transform approach to polycyclic and serial codes over rings
Maryam Bajalan, Edgar Martínez-Moro, Steve Szabo
In this paper, a transform approach is used for polycyclic and serial codes over finite local rings in the case that the defining polynomials have no multiple roots. This allows us…