Results 11 to 20 of about 13,417,881 (325)
On the sum of the reciprocals of k-generalized Fibonacci numbers
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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The mass formula for self-orthogonal and self-dual codes over a non-unitary commutative ring
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
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Quasi self-dual codes over non-unital rings from three-class association schemes
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]
Special issue PRIMA ...
Balázs Keszegh+2 more
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Mass Formula for Self-Orthogonal and Self-Dual Codes over Non-Unital Rings of Order Four
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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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
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On Cohomology of Simple Modules for Modular Classical Lie Algebras
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
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On Restricted Cohomology of Modular Classical Lie Algebras and Their Applications
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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Double circulant codes for the Lee and Euclidean distance
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
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On simple modules with singular highest weights for so2l+1(K)
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
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