Zobrazeno 1 - 10
of 4 108
pro vyhledávání: '"Circulant matrix"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 30529-30547 (2024)
Block circulant MDS matrices are used in the design of linear diffusion layers for lightweight cryptographic applications. Most of the work on construction of block circulant MDS matrices focused either on finite fields or $ GL(m, \mathbb{F}_2) $. Th
Externí odkaz:
https://doaj.org/article/c7d710b809914d4398e900117dd48f35
Autor:
Xiuyun Guo, Xue Zhang
Publikováno v:
Electronic Research Archive, Vol 32, Iss 7, Pp 4741-4752 (2024)
Let $ a_0, a_1, \dots, a_{n-1} $ be real numbers and let $ A = Circ(a_0, a_1, \dots, a_{n-1}) $ be a circulant matrix with $ f(x) = \Sigma ^{n-1}_{j = 0}a_jx^j $. First, we prove that $ Circ(a_0, a_1, \dots, a_{n-1}) $ must be invertible if the seque
Externí odkaz:
https://doaj.org/article/2f3aa01897264539856d5e25804d18f4
Autor:
Junyong Zhao
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 24546-24554 (2024)
Let $ R $ be a commutative ring with the identity $ 1_{R} $, and let $ R^* $ be the multiplicative group of units in $ R $. An element $ a\in R^* $ is called an exceptional unit if there exists a $ b\in R^* $ such that $ a+b = 1_{R} $. We set $ R^{**
Externí odkaz:
https://doaj.org/article/6409044679064401aa15cd7cf9c4cb6c
Autor:
Yingpin Chen, Kaiwei Chen
Publikováno v:
Electronic Research Archive, Vol 32, Iss 7, Pp 4684-4714 (2024)
The correlation filter object tracking algorithm has gained extensive attention from scholars in the field of tracking because of its excellent tracking performance and efficiency. However, the mathematical modeling relationships of correlation filte
Externí odkaz:
https://doaj.org/article/c3dd8b5ab3004be7aebd7ecfaaa85fb2
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 20677-20691 (2024)
This paper introduced a novel semiring structure involving nonnegative integers, where operations depended on the comparison of the magnitudes of decimal digit sums. Consequently, a corresponding matrix semiring can be established on this commutative
Externí odkaz:
https://doaj.org/article/5ef77382d7d64b67a3a2fc65350452ff
Autor:
Nassima Belaggoun, Hacène Belbachir
Publikováno v:
Contributions to Mathematics, Vol 9, Pp 46-55 (2024)
Externí odkaz:
https://doaj.org/article/fc7c20f03a184aba9eec0ff351133bfc
Publikováno v:
Special Matrices, Vol 12, Iss 1, Pp 75-91 (2024)
We investigate refined inertias of positive patterns and patterns that have each off-diagonal entry positive and each diagonal entry zero, i.e., hollow positive patterns. For positive patterns, we prove that every refined inertia (n+,n−,nz,2np)\lef
Externí odkaz:
https://doaj.org/article/d7250dfe0c34419a93488eda23a3d264
Autor:
B. Amutha, R. Perumal
Publikováno v:
AIMS Mathematics, Vol 8, Iss 7, Pp 17307-17334 (2023)
In recent years, many efficient key exchange protocols have been proposed based on matrices over the tropical semirings. The tropical addition of two elements is the minimum of the elements, while the tropical multiplication is the sum of the two ele
Externí odkaz:
https://doaj.org/article/583a49316a9d4930acefe676e7b9afa7
Publikováno v:
Information, Vol 15, Iss 8, p 453 (2024)
This article presents two quantum algorithms for computing the product of a circulant matrix and a vector. The arithmetic complexity of the first algorithm is O(Nlog2N) in most cases. For the second algorithm, when the entries in the circulant matrix
Externí odkaz:
https://doaj.org/article/b1b7e43015894b6b9ded2b65fea215bf