Results 1 to 10 of about 3,318,788 (200)
A Novel Image Encryption Scheme Based on Elliptic Curves over Finite Rings. [PDF]
Entropy (Basel), 2022 Image encryption based on elliptic curves (ECs) is emerging as a new trend in cryptography because it provides high security with a relatively smaller key size when compared with well-known cryptosystems.
Hayat U, Ullah I, Azam NA, Azhar S.
europepmc +2 more sources
On r-Noncommuting Graph of Finite Rings [PDF]
Axioms, 2021 Let R be a finite ring and r∈R. The r-noncommuting graph of R, denoted by ΓRr, is a simple undirected graph whose vertex set is R and two vertices x and y are adjacent if and only if [x,y]≠r and [x,y]≠−r.
Rajat Kanti Nath +3 more
doaj +2 more sources
On Networks Over Finite Rings [PDF]
CoRR, 2021 A (control) network over a finite ring is proposed. Using semi-tensor product (STP) of matrices, a set of algebraic equations are provided to verify whether a finite set with two binary operators is a ring.
D. Cheng
semanticscholar +3 more sources
On Linear Coding over Finite Rings and Applications to Computing
Entropy, 2017 This paper presents a coding theorem for linear coding over finite rings, in the setting of the Slepian–Wolf source coding problem. This theorem covers corresponding achievability theorems of Elias (IRE Conv. Rec. 1955, 3, 37–46) and Csiszár (IEEE Trans.
Sheng Huang, Mikael Skoglund
doaj +2 more sources
Waring's problem in finite rings
Journal of Pure and Applied Algebra, 2017 In this paper we obtain sharp results for Waring's problem over general finite rings, by using a combination of Artin-Wedderburn theory and Hensel's lemma and building on new proofs of analogous results over finite fields that are achieved using spectral
Yecs.im Dem.irouglu Karabulut
semanticscholar +3 more sources
The Total Graphs of Finite Rings [PDF]
Communications in Algebra, 2014 In this paper we extend the study of total graphs τ(R) to noncommutative finite rings R. We prove that τ(R) is connected if and only if R is not local, and we see that in that case τ(R) is always Hamiltonian.
David Dolžan, Polona Oblak
semanticscholar +4 more sources
Finite Local Rings of Length 4
AxiomsThis paper presents a comprehensive characterization of finite local rings of length 4 and with residue field Fpm, where p is a prime number. Such rings have an order of p4m elements.
Sami Alabiad +2 more
doaj +3 more sources
Enumeration of Involutions of Finite Rings
Journal of New Theory, 2021 In this paper, we study a special class of elements in the finite commutative rings called involutions. An involution of a ring R is an element with the property that x^2-1=0 for some x in R.
Sajana Shaık, Chalapathi Tekurı
doaj +1 more source
Rings of Multisets and Integer Multinumbers
Mathematics, 2022 In the paper, we consider a ring structure on the Cartesian product of two sets of integer multisets. In this way, we introduce a ring of integer multinumbers as a quotient of the Cartesian product with respect to a natural equivalence.
Yuriy Chopyuk +2 more
doaj +1 more source
Free products of cyclic groups in groups of infinite unitriangular matrices
Математичні Студії, 2023 Groups of infinite unitriangular matrices over associative unitary rings are considered. These groups naturally act on infinite dimensional free modules over underlying rings. They are profinite in case underlying rings are finite.
A. Oliynyk
doaj +1 more source