Results 21 to 30 of about 145,858 (328)
Compact elliptic curve representations
Journal of Mathematical Cryptology, 2011 Let y2 = x3 + ax + b be an elliptic curve over 𝔽p, p being a prime number greater than 3, and consider a, b ∈ [1, p]. In this paper, we study elliptic curve isomorphisms, with a view towards reduction in the size of elliptic curves coefficients. We first
Ciet Mathieu +2 more
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Secure Elliptic Curve Crypto-Processor for Real-Time IoT Applications
Energies, 2021 Cybersecurity is a critical issue for Real-Time IoT applications since high performance and low latencies are required, along with security requirements to protect the large number of attack surfaces to which IoT devices are exposed.
Stefano Di Matteo +5 more
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Torsion points with multiplicatively dependent coordinates on elliptic curves
, 2020 In this paper, we study the finiteness problem of torsion points on an elliptic curve whose coordinates satisfy some multiplicative dependence relations.
Barroero, Fabrizio, Sha, Min
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Nonlinearities in Elliptic Curve Authentication
Entropy, 2014 In order to construct the border solutions for nonsupersingular elliptic curve equations, some common used models need to be adapted from linear treated cases for use in particular nonlinear cases.
Ramzi Alsaedi +2 more
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Regulators of rank one quadratic twists [PDF]
, 2008 We investigate the regulators of elliptic curves with rank 1 in some families of quadratic twists of a fixed elliptic curve. In particular, we formulate some conjectures on the average size of these regulators.
Delaunay, Christophe +1 more
core +6 more sources
On the de Rham and p-adic realizations of the Elliptic Polylogarithm for CM elliptic curves [PDF]
, 2008 In this paper, we give an explicit description of the de Rham and p-adic polylogarithms for elliptic curves using the Kronecker theta function. We prove in particular that when the elliptic curve has complex multiplication and good reduction at p, then ...
Bannai, Kenichi +2 more
core +2 more sources
Journal of Geometry and Physics, 1995 A detailed study is made of super elliptic curves, namely super Riemann surfaces of genus one considered as algebraic varieties, particularly their relation with their Picard groups. This is the simplest setting in which to study the geometric consequences of the fact that certain cohomology groups of super Riemann surfaces are not freely generated ...
openaire +2 more sources
On tea, donuts and non-commutative geometry [PDF]
Surveys in Mathematics and its Applications, 2018 As many will agree, it feels good to complement a cup of tea by a donut or two. This sweet relationship is also a guiding principle of non-commutative geometry known as Serre Theorem.
Igor V. Nikolaev
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TWO-FACTOR AUTHENTICATION PROTOCOL IN ACCESS CONTROL SYSTEMS
Information and Telecommunication Sciences, 2023 Background. To ensure the protection of the biometric access control system used in unsecured communication channels, it is necessary to exclude the storage and transfer, transfer of biometric data as well as sequences generated on their basis. The paper
Ірина Стрелковська +2 more
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Multi-Functional Resource-Constrained Elliptic Curve Cryptographic Processor
IEEE Access, 2023 With the rising data evolution, the demand for secured communications over networks is rising immensely. Elliptic Curve Cryptography (ECC) provides an attractive solution to fulfill the requirements of modern network applications.
Binh Kieu Do-Nguyen +4 more
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