Results 21 to 30 of about 890,810 (300)
Application of mathematical optimization in elliptic curve arithmetic
Безопасность информационных технологий, 2017 Currently, a lot of standardized elliptic curve cryptographic algorithms are widely used. Due to the constantly increasing execution speed demands, implementation optimization problem become actual.
Alexander Igorevich Skripko +1 more
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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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Resource Efficiency of Hardware Extensions of a 4-issue VLIW Processor for Elliptic Curve Cryptography [PDF]
, 2010 Jungeblut T, Puttmann C, Dreesen R, et al. Resource Efficiency of Hardware Extensions of a 4-issue VLIW Processor for Elliptic Curve Cryptography. Advances in Radio Science.
M. Thies +20 more
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The positive integral points on the elliptic curve 𝒚𝟐=𝟕𝒑𝒙(𝒙𝟐+𝟖) [PDF]
E3S Web of Conferences, 2020 The integral point of elliptic curve is a very important problem in both elementary number theory and analytic number theory. In recent years, scholars have paid great attention to solving the problem of positive integer points on elliptic curve 𝑦2 = 𝑘 ...
Xiancun Du, Zhao Jianhong, Yang Lixing
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New Formulae for Efficient Elliptic Curve Arithmetic [PDF]
, 2007 This paper is on efficient implementation techniques of Elliptic Curve Cryptography. In particular, we improve timings for Jacobi-quartic (3M+4S) and Hessian (7M+1S or 3M+6S) doubling operations.
Carter, Gary P. +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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Upper bound for the height of S-integral points on elliptic curves [PDF]
, 2013 We establish new upper bounds for the height of the S-integral points of an elliptic curve. This bound is explicitly given in terms of the set $S$ of places of the number field K involved,but also in terms of the degree of K, as well as the rank, the ...
Surroca, Andrea +3 more
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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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Determining Minimal Polynomial of Proper Element by Using Higher Degree Traces [PDF]
, 2001 Modern communication engineerings, such as elliptic curve cryptographies, often requires algebra on finite extension field defined by modulus arithmetic with an irreducible polynomial. This paper provides a new method to detemine the minimal (irreducible)
Morikawa, Yoshitaka, Nogami, Yasuyuki
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