Results 51 to 60 of about 42,992 (209)
Image cipher applications using the elliptical curve and chaos
International Journal of Applied Mathematics and Computer Science, 2020 A novel symmetric cryptosystem of the substitution permutation network type is presented for image encryption in 14 rounds. An algorithm is developed to generate 15 keys to encrypt images where each key is the image size.
Silva-García Víctor Manuel +4 more
doaj +1 more source
Research in Number TheoryLet $$E/\mathbb {Q}$$ E / Q be an elliptic curve ...
Ben Forrás, Katharina Müller
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BBARHS: Blockchain‐Based Anonymous Ride‐Hailing Scheme for Autonomous Taxi Network
Security and Communication Networks, Volume 2022, Issue 1, 2022., 2022 In the past few years, ride‐hailing platforms such as Uber, Waymo, and Baidu have built their own autonomous taxi system. Unlike public transit services, ride‐hailing platforms raise severe privacy issues. To provide excellent autonomous taxi service, some significant security and privacy problems must be addressed.
Kun Wang +5 more
wiley +1 more source
On the Deuring Polynomial for Drinfeld Modules in Legendre Form [PDF]
, 2018 We study a family $\psi^{\lambda}$ of $\mathbb F_q[T]$-Drinfeld modules, which is a natural analog of Legendre elliptic curves. We then find a surprising recurrence giving the corresponding Deuring polynomial $H_{p(T)}(\lambda)$ characterising ...
Bassa, Alp, Beelen, Peter
core +2 more sources
Lines in supersingular quartics
, 2021 We show that the number of lines contained in a supersingular quartic surface is 40 or at most 32, if the characteristic of the field equals 2, and it is 112, 58, or at most 52, if the characteristic equals 3.
Degtyarev, Alex
core +1 more source
Identifying supersingular elliptic curves [PDF]
LMS Journal of Computation and Mathematics, 2012 AbstractGiven an elliptic curve E over a field of positive characteristic p, we consider how to efficiently determine whether E is ordinary or supersingular. We analyze the complexity of several existing algorithms and then present a new approach that exploits structural differences between ordinary and supersingular isogeny graphs.
openaire +3 more sources
Hash functions from superspecial genus-2 curves using Richelot isogenies
Journal of Mathematical Cryptology, 2020 In 2018 Takashima proposed a version of Charles, Goren and Lauter’s hash function using Richelot isogenies, starting from a genus-2 curve that allows for all subsequent arithmetic to be performed over a quadratic finite field 𝔽p2.
Castryck Wouter +2 more
doaj +1 more source
Constructing supersingular elliptic curves with a given endomorphism ring [PDF]
LMS Journal of Computation and Mathematics, 2014 AbstractLet $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}\mathcal{O}$ be a maximal order in the quaternion algebra $B_p$ over $\mathbb{Q}$ ramified at $p$ and $\infty $.
Chevyrev, Ilya, Galbraith, Steven D.
openaire +4 more sources
CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTION
Forum of Mathematics, Sigma, 2019 A result of Bleher, Chinburg, Greenberg, Kakde, Pappas, Sharifi and Taylor has initiated the topic of higher codimension Iwasawa theory. As a generalization of the classical Iwasawa main conjecture, they prove a relationship between analytic objects (a ...
ANTONIO LEI, BHARATHWAJ PALVANNAN
doaj +1 more source
MathematikaLet be an elliptic curve defined over , and let be an imaginary quadratic field. Consider an odd prime at which has good supersingular reduction with and which is inert in .
Erman Işik, Antonio Lei
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