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Research on group type theory and its functorial semantic models in category logic. [PDF]
PLoS ONEThis paper explores the introduction of group structures within type theory, drawing from the algebraic theory proposed by Roy L. Crole. We define types with group structures and demonstrate that models of these types in categories with finite products ...
Jian-Gang Tang +3 more
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Mathematics, 2023 Quantum codes are crucial building blocks of quantum computers. With a self-dual quantum code is attached, canonically, a unique stabilised quantum state. Improving on a previous publication, we show how to determine the coefficients on the basis of kets
Mohd Arif Raza +8 more
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A New Code Based Signature Scheme for Blockchain Technology
Mathematics, 2023 Blockchain is a method of recording information that makes it not feasible for the system to be replaced, attacked, or manipulated. A blockchain is equipped with a notebook that copies and processes the various procedures across the network of computers ...
Adel Alahmadi +5 more
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There are no Carmichael numbers of the form $2^np+1$ with $p$ prime
Comptes Rendus. Mathématique, 2022 In this paper, we prove the theorem announced in the title.
Alahmadi, Adel, Luca, Florian
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DNA Code Design Based on the Cosets of Codes over
Mathematics, 2023 DNA code design is a challenging problem, and it has received great attention in the literature due to its applications in DNA data storage, DNA origami, and DNA computing. The primary focus of this paper is in constructing new DNA codes using the cosets
Adel N. Alahmadi +2 more
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Connections between Linear Complementary Dual Codes, Permanents and Geometry
Mathematics, 2023 Linear codes with complementary duals, or LCD codes, have recently been applied to side-channel and fault injection attack-resistant cryptographic countermeasures.
Adel N. Alahmadi +5 more
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On the sum of the reciprocals of k-generalized Fibonacci numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this note, we that if {Fn(k)}n≥0{\left\{ {F_n^{\left( k \right)}} \right\}_{n \ge 0}} denotes the k-generalized Fibonacci sequence then for n ≥ 2 the closest integer to the reciprocal of ∑m≥n1/Fm(k)\sum\nolimits_{m \ge n} {1/F_m^{\left( k \right)}} is
Alahmadi Adel, Luca Florian
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On Restricted Cohomology of Modular Classical Lie Algebras and Their Applications
Mathematics, 2022 In this paper, we study the restricted cohomology of Lie algebras of semisimple and simply connected algebraic groups in positive characteristics with coefficients in simple restricted modules and their applications in studying the connections between ...
Sherali S. Ibraev +2 more
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Quasi self-dual codes over non-unital rings from three-class association schemes
AIMS Mathematics, 2023 Let $ E $ and $ I $ denote the two non-unital rings of order 4 in the notation of (Fine, 93) defined by generators and relations as $ E = \langle a, b \mid 2a = 2b = 0, a^2 = a, b^2 = b, ab = a, ba = b\rangle $ and $ I = \langle a, b \mid 2a = 2b = 0, a ...
Adel Alahmadi +2 more
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Nonrepetitive colorings of lexicographic product of graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Special issue PRIMA ...
Balázs Keszegh +2 more
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