Results 41 to 50 of about 1,299,040 (282)
, 2022 This paper presents evidence of a recursive fractal structure in the distribution of prime numbers,revealed through triplet decomposition and recursive extraction of strings based on the position of primeswithin triplets. Each level of recursion yields three new strings (X, Y, Z), forming a tree-like topology ofprime-derived sequences.
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Fast prime field elliptic-curve cryptography with 256-bit primes [PDF]
Journal of Cryptographic Engineering, 2014 This paper studies software optimization of elliptic-curve cryptography with $$256$$ -bit prime fields. We propose a constant-time implementation of the NIST and SECG standardized curve P-
Shay Gueron, Vlad Krasnov
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Calculation of Fourier-Galois transforms in reduced binary number systems [PDF]
Компьютерная оптика, 2018 The paper proposes a new method for calculating Fourier-Galois transforms (number-theoretical transforms), which are a modular analog of the discrete Fourier transform.
Vladimir Chernov
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Special prime numbers and discrete logs in finite prime fields [PDF]
Mathematics of Computation, 2000 Summary: A set \(A\) of primes \(p\) involving numbers such as \(ab^t+c\), where \(| a|,| b|,| c|=O(1)\) and \(t\to\infty\), is defined. An algorithm for computing discrete logs in the finite field of order \(p\) with \(p\in A\) is suggested. Its heuristic expected running time is \(L_p[\frac13;(\frac{32}{9})^{1/3}]\) for \((\frac{32}{9})^{1/3}=1.526 ...
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Ternary number systems in finite fields [PDF]
Компьютерная оптика, 2018 The work continues the author's previous study of positional number systems in finite fields. The paper considers ternary number systems and arithmetic operations algorithms for the representation of elements of finite fields in the so-called ternary ...
Vladimir Chernov
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Chromatic priming in hemianopic visual fields
Experimental Brain Research, 2003 In three monkeys made hemianopic by unilateral striate cortical ablation, in one normal monkey and in a human hemianope (GY), we measured reaction times to chromatic targets presented in the normal hemifield as a function of prior chromatic primes in the blind field. The first of our three tasks showed an unspecific priming effect in that the colour of
Cowey, A, Stoerig, P, Hodinott-Hill, I
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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
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, 2008 The confinement mechanism proposed earlier by the author is applied to estimate the possible parameters of the confining SU(3)-gluonic field in an $\eta^\prime$-meson.
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AGT, Burge pairs and minimal models [PDF]
, 2014 We consider the AGT correspondence in the context of the conformal field theory $M^{\, p, p^{\prime}}$ $\otimes$ $M^{H}$, where $M^{\, p, p^{\prime}}$ is the minimal model based on the Virasoro algebra $V^{\, p, p^{\prime}}$ labeled by two co-prime ...
Bershtein, M., Foda, O.
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The Prime Scalar Field: The Prime Pattern Solved. A
, 2022 The Prime Scalar Field The Pattern of Prime Numbers: Fractals of a Quantized Harmonic Resonant Scalar Field Author: Damon Michael Dorsey - 4.21.2025 Abstract (A preliminary paper) Prime numbers are fundamental to mathematics and theoretical physics, yet their apparent randomness has long obscured their underlying structure.
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