Results 21 to 30 of about 145,218 (264)
Special Sets of Primes in Function Fields
Version 1.0, 4 pages: keywords: Primes, Function Field, Irreducible ...
Julio C. Andrade +3 more
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Big Prime Field FFT on the GPU [PDF]
We consider prime fields of large characteristic, typically fitting on k machine words, where k is a power of 2. When the characteristic of these fields is restricted to a subclass of the generalized Fermat numbers, we show that arithmetic operations in such fields offer attractive performance both in terms of algebraic complexity and parallelism.
Chen, Liangyu +3 more
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Comparative field performance evaluation of different type of Pusa Electric Power Units
Pusa developed three walk-behind type electric power units were evaluated in 9.96 ha area for tillage in polyhouse, secondary tillage, planking and weeding-cum interculture operations at research farm of ICAR-IARI during kharif and rabi 2020 and 2021 ...
UTPAL EKKA, S P SINGH, M K SINGH
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Fast prime field elliptic-curve cryptography with 256-bit primes [PDF]
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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A new quantum-safe multivariate polynomial public key digital signature algorithm
We propose a new quantum-safe digital signature algorithm called Multivariate Polynomial Public Key Digital Signature (MPPK/DS). The core of the algorithm is based on the modular arithmetic property that for a given element g, greater than equal to two ...
Randy Kuang +2 more
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Calculation of Fourier-Galois transforms in reduced binary number systems [PDF]
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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An updated meta-analysis of the primed goal-organizational behaviour relationship
Environmental cues (e.g. achievement-related words and pictures) can prime/activate, in the absence of awareness, a mental representation of importance stored in memory. Chen et al.'s 2021 Applied Psychology: An International Review 70, 216–253.
Gary P. Latham +3 more
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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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Special prime numbers and discrete logs in finite prime fields [PDF]
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]
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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