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Latest Research
Browse all articlesNew classes of permutation pentanomials over 𝔽52n
Shalini Gupta, Sagar Vinayak, Manpreet Singh
In this paper: Developing novel classes of permutation polynomials(PPs) has become a prominent focus in recent mathematical research. We introduce new classes of permutation pentanomials defined on 𝔽52n through the...
Generalizing some properties of differential uniformity and nonlinearity of permutations on finite commutative rings
Sonu Pal, Anupama Panigrahi, Saibal. K. Pal
In this paper: This study examines two essential characteristics of permutations within algebraic frameworks. The initial emphasis is on the full differential uniformity of permutations within a finite commutative r...
A class of Zr-simplex codes and its gray images
J. Mahalakshmi, J. Prabu, M. S. Sooraj Subrahmaniyan, K. M. Sanmaya
In this paper: The various parameters of Zr-Simplex code under the Homogeneous and Lee weight metric for some particular cases of r with rank k are considered. Some fundamental properties like weight distributions o...
Classification of n-dimensional generalized Heisenberg Lie algebras of rank (n – 4)
Hamid Darabi, Mahdi Imanparast
In this paper: In this paper, we classify all n-dimensional generalized Heisenberg Lie algebras of rank (n – 4), and to this end, we demonstrate that for any n-dimensional generalized Heisenberg Lie algebra, if the...
3-parameter generalized quaternions with generalized Tetranacci numbers components
Zehra Işbilir, Bahar Doğan Yazıcı, Murat Tosun
In this paper: In this study, our aim is to investigate a new special number family, which is called the 3-parameter generalized quaternions with generalized Tetranacci numbers components with both non-negative and...
Numerical analysis of p-vector norm errors in interacting data under random noise fluctuation
Ogethakpo Arhonefe Joseph, Ogoegbulem Ozioma, Nwagor Peters, Nwaigwe Chrysogonus Chinagorom
In this paper: This study investigates the p-vector norm error between interacting datasets subjected to random noise fluctuations using a numerical simulation approach. A system of nonlinear ordinary differential e...
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