Results 11 to 20 of about 9,843,323 (256)
Prime Field ECDSA Signature Processing for Reconfigurable Embedded Systems
International Journal of Reconfigurable Computing, 2011 Growing ubiquity and safety relevance of embedded systems strengthen the need to protect their functionality against malicious attacks. Communication and system authentication by digital signature schemes is a major issue in securing such systems.
Benjamin Glas +4 more
doaj +2 more sources
Special Sets of Primes in Function Fields [PDF]
arXiv, 2013 When investigating the distribution of the Euler totient function, one encounters sets of primes P where if p is in P then r is in P for all r|(p-1). While it is easy to construct finite sets of such primes, the only infinite set known is the set of all primes. We translate this problem into the function field setting and construct an infinite such set
Andrade, J.C. +3 more
arxiv +3 more sources
Analysis of the Fault Attack ECDLP over Prime Field
Journal of Applied Mathematics, 2011 In 2000, Biehl et al. proposed a fault-based attack on elliptic curve cryptography. In this paper, we refined the fault attack method. An elliptic curve E is defined over prime field 𝔽p with base point P∈E(𝔽p).
Mingqiang Wang, Tao Zhan
doaj +2 more sources
Dihedral Congruence Primes and Class Fields of Real Quadratic Fields
Journal of Number Theory, 2002 AbstractWe show that for a real quadratic field F the dihedral congruence primes with respect to F for cusp forms of weight k and quadratic nebentypus are essentially the primes dividing expressions of the form εk−1+±1 where ε+ is a totally positive fundamental unit of F. This extends work of Hida.
Alexander F. Brown, Eknath Ghate
openalex +3 more sources
On the unique representability of spikes over prime fields
Discrete Mathematics, 2006 For an integer $n>2$, a rank-$n$ matroid is called an $n$-spike if it consists of $n$ three-point lines through a common point such that, for all $k\in\{1, 2, ..., n - 1\}$, the union of every set of $k$ of these lines has rank $k+1$. Spikes are very special and important in matroid theory.
Zhaoyang Wu, Zhi‐Wei Sun
openalex +4 more sources
Systematic KMTNet Planetary Anomaly Search. IV. Complete Sample of 2019 Prime-Field [PDF]
Monthly notices of the Royal Astronomical Society, 2022 We report the complete statistical planetary sample from the prime fields (Γ ≥ 2 hr−1) of the 2019 Korea Microlensing Telescope Network (KMTNet) microlensing survey.
W. Zang +36 more
semanticscholar +1 more source
Systematic KMTNet Planetary Anomaly Search. VI. Complete Sample of 2018 Sub-prime-field Planets [PDF]
Astronomical Journal, 2022 We complete the analysis of all 2018 sub-prime-field microlensing planets identified by the KMTNet AnomalyFinder. Among the 9 previously unpublished events with clear planetary solutions, 6 are clearly planetary (OGLE-2018-BLG-0298, KMT-2018-BLG-0087 ...
Youn Kil Jung +31 more
semanticscholar +1 more source
ریاضی و جامعه, 2022 Translator's abstractThis paper deals with one of the important and interesting topics in Number Theory under the title of prime number races, which is less discussed in Persian texts. All prime numbers (except 2) can be written in the form 4n+1 or 4n+3.
Mohammad Reza Esfandiari
doaj +1 more source
Systematic KMTNet Planetary Anomaly Search. V. Complete Sample of 2018 Prime-Field [PDF]
, 2022 We complete the analysis of all 2018 prime-field microlensing planets identified by the KMTNet AnomalyFinder. Among the 10 previously unpublished events with clear planetary solutions, 8 are either unambiguously planetary or are very likely to be ...
A. Gould +67 more
semanticscholar +1 more source
Lightweight Architecture for Elliptic Curve Scalar Multiplication over Prime Field
Electronics, 2022 In this paper, we present a novel lightweight elliptic curve scalar multiplication architecture for random Weierstrass curves over prime field Fp. The elliptic curve scalar multiplication is executed in Jacobian coordinates based on the Montgomery ladder
Yue Hao +6 more
semanticscholar +1 more source