Results 131 to 140 of about 2,339 (216)

Circulant matrices and solving polynomials

, 2007
Bu çalışmada öncelikle circulant matrislerin özdeğerlerinin polinomlar yardımıyla bulunmasını ele aldık. Daha sonra derecesi en fazla 4 olan polinomların köklerinin circulant matris metodu ile nasıl bulunacağını gösterdik.In this study, firstly we have ...
Küçüközbek, Sibel
core  

Quantum LDPC Codes Based on Cocyclic Block Matrices. [PDF]

Entropy (Basel), 2023
Li Y, Guo Y.
europepmc   +1 more source

On MDS Property of g-Circulant Matrices

Circulant Maximum Distance Separable (MDS) matrices have gained significant importance due to their applications in the diffusion layer of the AES block cipher. In $2013$, Gupta and Ray established that circulant involutory matrices of order greater than
Chatterjee, Tapas, Laha, Ayantika
core  

About Circulant Involutory MDS Matrices

, 2017
International audienceWe give a new algebraic proof of the non-existence of circulant involutory MDS matrices with coefficients in fields of even characteristic. For odd characteristics we give parameters for the potential existence.
Cauchois, Victor, Loidreau, Pierre
core  

Some (Hopf) algebraic properties of circulant matrices

, 2012
We study some (Hopf) algebraic properties of circulant matrices, inspired by the fact that the algebra of circulant n × n matrices is isomorphic to the group algebra of the cyclic group with n elements.
Albuquerque, H., Panaite, F.
core   +1 more source

A note on MDS property of circulant matrices

Journal of Discrete Mathematical Sciences & Cryptography
In 2014, Gupta and Ray proved that the circulant involutory matrices over the finite field F2m can not be maximum distance separable (MDS). This non-existence also extends to circulant orthogonal matrices of order 2d × 2d over finite fields of characteristic 2.
Tapas Chatterjee, Ayantika Laha
openaire   +2 more sources

On the preconditioning of the primal form of TFOV-based image deblurring model. [PDF]

Sci Rep, 2023
Kim J, Ahmad S.
europepmc   +1 more source

Quantum Coding via Quasi-Cyclic Block Matrix. [PDF]

Entropy (Basel), 2023
Li Y, Li JY.
europepmc   +1 more source

On Circulant Involutory MDS Matrices

, 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  

On nonsingularity of circulant matrices

, 2020
12 pages, complete answer for the existence of nonsingular matrices concerned, explicit examples, constructive proofIn Communication and Coding, it is expected that certain circulant unital matrices are nonsingular. In this paper we are mainly interested
Chen, Zhangchi
core