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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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Efficient elliptic curve exponentiaion using mixed coordinates [PDF]
, 1998 Elliptic curve cryptosystems, proposed by Koblitz ([12]) and Miller ([16]), can be constructed over a smaller field of definition than the ElGamal cryptosystems ([6]) or the RSA cryptosystems ([20]). This is why elliptic curve cryptosystems have begun to
Miyaji, Atsuko +2 more
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Characterization of Elliptic Curve Traces under FR-reduction [PDF]
, 2001 Elliptic curve cryptosystems([19],[25]) are based on the elliptic curve discrete logarithm problem(ECDLP). If elliptic curve cryptosystems avoid FR-reduction([11],[17]) and anomalous elliptic curve over F_q ([34],[3],[36]), then with current knowledge we
Takano, Shunzo +5 more
core +1 more source
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 +13 more
core +2 more sources
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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DHB-KEY - A Diffie-Hellman Key Distribution Protocol for Wireless Sensor Networks [PDF]
, 2008 Many sensor network applications require secure communication between sensor nodes and the sink. This paper presents a key distribution scheme based on the well known Elliptic Curve Diffie-Hellman key exchange mechanism.
Roedig, Utz, Chung, Antony
core +4 more sources
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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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
doaj
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
doaj +1 more source