Results 11 to 20 of about 13,417,881 (325)

On the sum of the reciprocals of k-generalized Fibonacci numbers

open access: yesAnalele 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
doaj   +1 more source

The mass formula for self-orthogonal and self-dual codes over a non-unitary commutative ring

open access: yesAIMS Mathematics, 2023
In this paper, we establish a mass formula for self-orthogonal codes, quasi self-dual codes, and self-dual codes over commutative non-unital rings $ {{\mathit {I}_p}} = \left < a, b | pa = pb = 0, a^2 = b, ab = 0 \right > $, where $ p $ is an odd ...
Adel Alahmadi   +2 more
doaj   +1 more source

Quasi self-dual codes over non-unital rings from three-class association schemes

open access: yesAIMS 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
doaj   +1 more source

Nonrepetitive colorings of lexicographic product of graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
Special issue PRIMA ...
Balázs Keszegh   +2 more
doaj   +1 more source

Mass Formula for Self-Orthogonal and Self-Dual Codes over Non-Unital Rings of Order Four

open access: yesMathematics, 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
doaj   +1 more source

Bijective S-Boxes Method Using Improved Chaotic Map-Based Heuristic Search and Algebraic Group Structures

open access: yesIEEE Access, 2020
This paper presents a hybrid method for the construction of cryptographically strong bijective substitution-boxes by utilizing the merits of chaotic map and algebraic groups.
Musheer Ahmad   +3 more
semanticscholar   +1 more source

On Cohomology of Simple Modules for Modular Classical Lie Algebras

open access: yesAxioms, 2022
In this article, we obtain some cohomology of classical Lie algebras over an algebraically closed field of characteristic p>h, where h is a Coxeter number, with coefficients in simple modules.
Sherali S. Ibraev   +2 more
doaj   +1 more source

On Restricted Cohomology of Modular Classical Lie Algebras and Their Applications

open access: yesMathematics, 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
doaj   +1 more source

Double circulant codes for the Lee and Euclidean distance

open access: yesAIMS Mathematics, 2023
This paper investigates double circulant codes of length $ 2n $ over $ \mathbb{Z}_{{{p^m}}} $ where $ p $ is an odd prime, $ n $ goes to infinity, and $ m\ge 1 $ is a fixed integer. Using random coding, we obtain families of asymptotically good Lee codes
Adel Alahmadi   +4 more
doaj   +1 more source

On simple modules with singular highest weights for so2l+1(K)

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
In this paper, we study formal characters of simple modules with singular highest weights over classical Lie algebras of type B over an algebraically closed field of characteristic p ≥ h, where h is the Coxeter number. Assume that the highest weights of
Sh.Sh. Ibraev   +2 more
doaj   +1 more source

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