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PERSYMMETRIC MATRIX AND ITS APPLICATION IN CODING THEORY
BarekengA persymmetric matrix is a square matrix that is symmetric concerning its antidiagonal. This article discusses some characteristics of a persymmetric matrix and its application in coding theory. A persymmetric matrix is used to form a generator matrix of
Ardi Nur Hidayat +2 more
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A Remark on the structure of symmetric quantum dynamical semigroups on von Neumann algebras [PDF]
, 2002 We study the structure of the generator of a symmetric, conservative quantum dynamical semigroup with norm-bounded generator on a von Neumann algebra equipped with a faithful semifinite trace. For von Neumann algebras with abelian commutant (i.e.
Albeverio, Sergio, Goswami, Debashish
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Support Constrained Generator Matrices of Gabidulin Codes in Characteristic Zero [PDF]
, 2020 Gabidulin codes over fields of characteristic zero were recently constructed by Augot et al., whenever the Galois group of the underlying field extension is cyclic.
Hassibi, Babak +2 more
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Reversible Self-Dual Codes over Finite Field
Cauchy: Jurnal Matematika Murni dan AplikasiReversible self-dual code is a linear code which combine the properties from self-dual code and reversible code. Previous research shows that reversible self-dual codes have only been developed over field of order 2 and order 4.
Ardi Nur Hidayat +2 more
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Some results on free Euclidean self-dual codes over F2+vF2
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 In thispaper, free Euclidean self-dual codes over the ring F2+ v F2 with v2=vof order 4 are considered. A necessary andsufficient condition for the form of the generator matrix of a free Euclideanself-dual code is given.
Refia Aksoy, Fatma Çalışkan
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The generalized Fibonomial matrix
European Journal of Combinatorics, 2010 After defining the generalized Fibonomial matrix and deriving a linear recurrence relation for the generalized Fibonacci coefficients, the author shows that the generalized Fibonomial and Pascal matrices have the same characteristic polynomials i.e. the same eigenvalues.
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On the Inverting of a General Heptadiagonal Matrix [PDF]
British Journal of Applied Science & Technology, 2016 In this paper, we developed new numeric and symbolic algorithms to find the inverse of any nonsingular heptadiagonal matrix. Symbolic algorithm will not break and it is without setting any restrictive conditions. The computational cost of our algorithms is $O(n)$.
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The Problem with the Linpack Benchmark Matrix Generator
, 2008 We characterize the matrix sizes for which the Linpack Benchmark matrix generator constructs a matrix with identical ...
Jack J. Dongarra +3 more
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Higgs Boson pair production merged to one jet [PDF]
, 2014 We develop a Monte Carlo event generator for Higgs Boson pair production merged to exact one-jet matrix elements. The matrix elements are generated with OpenLoops and event generation is performed with the HERWIG++ general-purpose event generator.
Maierhöfer, Philipp +1 more
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More on Codes Over Finite Quotients of Polynomial Rings
IEEE AccessLet $q=p^{r}$ be a prime power, ${\mathbb {F}}_{q}$ be the finite field of order q and $f(x)$ be a monic polynomial in ${\mathbb {F}}_{q}[x]$ . Set ${\mathbb {A}}:={\mathbb {F}}_{q}[x]/{\left \lt {{ f(x) }}\right \gt }$ .
Emad Kadhim Al-Lami +3 more
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