Results 21 to 30 of about 1,299,040 (282)
Computation of discrete logarithms in prime fields [PDF]
Designs, Codes and Cryptography, 1991 Let \(p\) be a prime and \(g\), \(x\) integers. The computation of \(y\) such that \(y\equiv g^ x(\mod p)\), \(0\leq y\leq p-1\), is referred to as discrete exponentiation. Given \(p\), \(g\) and \(y\) the computation of \(x\) is referred to as the discrete logarithm problem.
Brian A. LaMacchia, Andrew M. Odlyzko
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A collaborative resource platform for non-human primate neuroimaging
NeuroImage, 2021 Neuroimaging non-human primates (NHPs) is a growing, yet highly specialized field of neuroscience. Resources that were primarily developed for human neuroimaging often need to be significantly adapted for use with NHPs or other animals, which has led to ...
Adam Messinger +31 more
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Prime-Field Masking in Hardware and its Soundness against Low-Noise SCA Attacks
Transactions on Cryptographic Hardware and Embedded Systems, 2023 A recent study suggests that arithmetic masking in prime fields leads to stronger security guarantees against passive physical adversaries than Boolean masking.
Gaëtan Cassiers +4 more
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New properties of divisors of natural number [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 The divisors of a natural number are very important for several areas of mathematics, representing a promising field in number theory. This work sought to analyze new relations involving the divisors of natural numbers, extending them to prime numbers ...
Hamilton Brito da Silva
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Characteristic of Rings. Prime Fields
Formalized Mathematics, 2015 Summary The notion of the characteristic of rings and its basic properties are formalized [14], [39], [20]. Classification of prime fields in terms of isomorphisms with appropriate fields (ℚ or ℤ/p) are presented. To facilitate reasonings within the field of rational numbers, values of numerators and denominators of basic operations over
Christoph Schwarzweller +1 more
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Properties of Primes and Multiplicative Group of a Field [PDF]
Formalized Mathematics, 2009 In the [16] has been proven that the multiplicative group Z/pZ∗ is a cyclic group. Likewise, finite subgroup of the multiplicative group of a field is a cyclic group. However, finite subgroup of the multiplicative group of a field being a cyclic group has not yet been proven.
Kenichi Arai, Hiroyuki Okazaki
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Prime numbers, quantum field theory and the Goldbach conjecture [PDF]
, 2012 Motivated by the Goldbach conjecture in Number Theory and the abelian bosonization mechanism on a cylindrical two-dimensional spacetime we study the reconstruction of a real scalar field as a product of two real fermion (so-called \textit{prime}) fields ...
Di Francesco P. +6 more
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Trans-saccadic priming in hemianopia: Sighted-field sensitivity is boosted by a blind-field prime
Neuropsychologia, 2012 We experience visual stability despite shifts of the visual array across the retina produced by eye movements. A process known as remapping is thought to keep track of the spatial locations of objects as they move on the retina. We explored remapping in damaged visual cortex by presenting a stimulus in the blind field of two patients with hemianopia ...
Kay Ritchie +2 more
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Girth Analysis of Tanner’s (3, 17)-Regular QC-LDPC Codes Based on Euclidean Division Algorithm
IEEE Access, 2019 In this paper, the girth distribution of the Tanner’s (3, 17)-regular quasi-cyclic LDPC (QC-LDPC) codes with code length $17p$ is determined, where $p$ is a prime and $p \equiv 1~(\bmod ~51)$ .
Hengzhou Xu +3 more
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Numerical simulation and first-order hazard analysis of large co-seismic tsunamis generated in the Puerto Rico trench: near-field impact on the North shore of Puerto Rico and far-field impact on the US East Coast [PDF]
Natural Hazards and Earth System Sciences, 2010 We perform numerical simulations of the coastal impact of large co-seismic tsunamis, initiated in the Puerto Rican trench, both in far-field areas along the upper US East coast (and other Caribbean islands), and in more detail in the near-field, along ...
S. T. Grilli +5 more
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