Results 31 to 40 of about 134,362 (311)
FPGA Based High Speed SPA Resistant Elliptic Curve Scalar Multiplier Architecture
International Journal of Reconfigurable Computing, 2016 The higher computational complexity of an elliptic curve scalar point multiplication operation limits its implementation on general purpose processors.
Khalid Javeed, Xiaojun Wang
doaj +1 more source
Iterated integrals and unipotent periods on families of marked elliptic curves [PDF]
arXiv, 2021 We describe iterated integrals as unipotent periods on families of marked elliptic curves in terms of multiple zeta values and elliptic multiple zeta values.
arxiv
Elliptic curve and k-Fibonacci-like sequence
Scientific African, 2023 In this paper, we will introduce a modified k-Fibonacci-like sequence defined on an elliptic curve and prove Binet’s formula for this sequence. Moreover, we give a new encryption scheme using this sequence.
Zakariae Cheddour +2 more
doaj
Pseudoprime Reductions of Elliptic Curves [PDF]
Canadian Journal of Mathematics, 2012 Abstract Let E be an elliptic curve over ℚ without complex multiplication, and for each prime p of good reduction, let nE(p) = |E(𝔽p)|. For any integer b, we consider elliptic pseudoprimes to the base b. More precisely, let QE,b(x) be the number of primes p ⩽ x such that bnE(p) ≡ b (mod nE(p)), and let πpseuE,b (x) be the number of compositive nE(p ...
David, Chantal, Wu, J
openaire +6 more sources
A classification of isogeny‐torsion graphs of Q‐isogeny classes of elliptic curves
Transactions of the London Mathematical Society, 2021 Let E be a Q‐isogeny class of elliptic curves defined over Q. The isogeny graph associated to E is a graph which has a vertex for each elliptic curve in the Q‐isogeny class E, and an edge for each cyclic Q‐isogeny of prime degree between elliptic curves ...
Garen Chiloyan, Álvaro Lozano‐Robledo
doaj +1 more source
THEORETICAL ASSUMPTIONS FOR AN INTRODUCTION TO ELLIPTIC CURVE CRYPTOGRAPHY
STED Journal, 2023 Understanding elliptic curves contributed to solving mathematical problems in number theory that had been unsolved for centuries. Elliptic curves were also used in solving one of the millennial problems, which is Fermat's last theorem.
Ognjen Milivojević, Boris Damjanović
doaj +1 more source
On the Finiteness of Perfect Powers in Elliptic Divisibility Sequences [PDF]
arXiv, 2021 We prove that there are finitely many perfect powers in elliptic divisibility sequences generated by a non-integral point on elliptic curves of the from $y^2=x(x^2+b)$, where $b$ is any positive integer. We achieve this by using the modularity of elliptic curves over real quadratic number fields.
arxiv
On positive proportion of rank zero twists of elliptic curves over Q [PDF]
J. Aust. Math. Soc. 98 (2015) 281-288, 2013 Extending the idea of \cite{dab2} and using the 2-descent method, we provide three general families of elliptic curves over Q such that a positive proportion of prime-twists of such elliptic curves have rank zero simultaneously.
arxiv +1 more source
Elliptic Curves - an Introduction [PDF]
Irish Mathematical Society Bulletin, 2007 Elliptic curves – an introduction ...
openaire +2 more sources
Identification of inhibitors of the Salmonella FraB deglycase, a drug target
FEBS Open Bio, EarlyView.A high‐throughput screen was used to identify inhibitors of Salmonella FraB, a drug target. Characterization of top hits (identified after an additional counter screen) revealed that some triazolidines, thiadiazolidines, and triazolothiadiazoles are mixed‐type inhibitors of FraB.
Jamison D. Law +6 more
wiley +1 more source