Results 81 to 90 of about 448,655 (204)

A Novel Hybrid Image Encryption Scheme Using Henon Map for Secure Image Communication

open access: yesIET Information Security, Volume 2026, Issue 1, 2026.
The combination of chaos theory and cryptographic methodologies constitutes a pivotal aspect of the information security. Owing to certain attributes of images, like their large data capacity and significant redundancy, image encryption needs specialized techniques instead of conventional text encryption.
Saba Inam   +6 more
wiley   +1 more source

On Circulant Involutory MDS Matrices

open access: yes, 2019
International audienceWe give a new algebraic proof of the non-existence of circulant involutory MDS matrices with coefficients in fields of characteristic 2. In odd characteristics we give parameters for the potential existence.
Cauchois, Victor, Loidreau, Pierre
core   +4 more sources

A Note on the Square Roots of a Class of Circulant Matrices

open access: yesJournal of Applied Mathematics, 2013
We prove that any k-circulant matrix and any even order skew k-circulant matrix are diagonalizable for any k∈ℂ. Then, we propose two algorithms for computing the square roots of the k-circulant matrix and the skew k-circulant matrix, respectively.
Ying Zhang, Huisheng Zhang, Guoyan Chen
doaj   +1 more source

Periodic Solutions to a Ring of Identical Cells With Delay via the Equivariant Degree Method

open access: yesInternational Journal of Differential Equations, Volume 2026, Issue 1, 2026.
We investigate the existence and multiplicity of bifurcating solutions in a Hopfield–Cohen–Grossberg network with n identical components and time delays. Applying the equivariant degree method, we derive sufficient conditions guaranteeing periodic solutions and their multiplicities. Two examples are provided to exemplify the theoretical results.
Shi Yu, Igor Freire
wiley   +1 more source

On the Research of the Secondary Transpose of Tensors via the C‐Product

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper develops a secondary transpose for third‐order real tensors under the C‐product. The operation is defined in the discrete‐cosine‐transform domain, reverses the order of the C‐product, and is naturally related to the usual transpose through secondary identity tensors.
Hongwei Jin   +3 more
wiley   +1 more source

The nonidealness index of circulant matrices

open access: yesElectronic Notes in Discrete Mathematics, 2008
Abstract Ideal matrices are precisely those matrices M where the set covering polyhedron Q ∗ ( M ) equals the polyhedron Q ( M ) = { x : M x ≥ 1 , x ≥ 0 } . In a previous work (2006) we defined a nonidealness index equivalent to max { t : Q ( M ) ⊂ t Q ∗ ( M ) } .
Gabriela R. Argiroffo, Silvia M. Bianchi
openaire   +1 more source

On the Generalization of g-Circulant Matrices for Cryptographic MDS Matrix Construction

open access: yesIEEE Access
Maximum distance separable (MDS) matrices are widely used as linear diffusion layers in symmetric-key cryptography because of their optimal branch number.
Atif Ahmad Khan   +3 more
doaj   +1 more source

Unit group of algebra of circulant matrices [PDF]

open access: yesInternational Journal of Group Theory, 2013
Let Crn(Fp) denote the algebra of nXn circulant matrices over Fp, finite field of order p of prime characteristic p. The order of the unit groups U(Cr3(Fp)), U(Cr4(Fp)) and U(Cr5(Fp)) of algebras of circulant matrices over Fp are characterized.
Rajendra Sharma, Pooja Yadav
doaj  

Eigenvectors of Compound-Circulant and Alternating Circulant Matrices

open access: yes, 2002
A circulant matrix whose elements are square submatrices is called a compound-circulant matrix. The eigenvectors and eigenvalues had been found for symmetric compound-circulant matrices, and that method is extended to general compound-circulant matrices.
Tee, Garry J.
core  

Circulant weighing matrices [PDF]

open access: yes, 2017
Circulant weighing matrices are matrices with entries in {-1,0,1} where the rows are pairwise orthogonal and each successive row is obtained from the previous row by a fixed cyclic permutation. They are useful in solving problems where it is necessary
Hain, Richard Martin
core   +1 more source

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