Results 1 to 10 of about 18,875 (269)
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 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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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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Mass Formula for Self-Orthogonal and Self-Dual Codes over Non-Unital Rings of Order Four
Mathematics, 2023 We study the structure of self-orthogonal and self-dual codes over two non-unital rings of order four, namely, the commutative ring I=a,b|2a=2b=0,a2=b,ab=0 and the noncommutative ring E=a,b|2a=2b=0,a2=a,b2=b,ab=a,ba=b.
Adel Alahmadi +4 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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A Strong Hybrid S-Box Scheme Based on Chaos, 2D Cellular Automata and Algebraic Structure
IEEE Access, 2022 Substitution-boxes are the main deciding components in symmetric-key cryptosystems for resisting many cryptanalytic attacks. It has been a challenging task for the designers to construct strong S-box which satisfies multiple cryptographic properties ...
Amirul Haque +4 more
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