Results 1 to 10 of about 8,955,762 (211)
Features of digital signal processing algorithms using Galois fields GF(2n+1). [PDF]
PLoS ONE, 2023 An alternating representation of integers in binary form is proposed, in which the numbers -1 and +1 are used instead of zeros and ones. It is shown that such a representation creates considerable convenience for multiplication numbers modulo p = 2n+1 ...
Ibragim E Suleimenov +2 more
doaj +2 more sources
On generalized bihyperbolic Mersenne numbers [PDF]
Mathematica Bohemica, 2023 In this paper, a new generalization of Mersenne bihyperbolic numbers is introduced. Some of the properties of presented numbers are given. A general bilinear index-reduction formula for the generalized bihyperbolic Mersenne numbers is obtained.
Dorota Bród, Anetta Szynal-Liana
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The generalized order (k,t)-Mersenne sequences in groups [PDF]
Notes on Number Theory and Discrete MathematicsThe purpose of this paper is to determine the algebraic properties of finite groups via a Mersenne-like sequence. Firstly, we introduce the generalized order (k,t)-Mersenne number sequences and study the periods of these sequences modulo m.
E. Mehraban, Ö. Deveci, E. Hincal
doaj +3 more sources
Secure image exchange over cloud networks with neural key exchange protocol [PDF]
Scientific ReportsIn this article, a novel image encryption algorithm is proposed for the secure transmission and storage of images over the cloud. The robustness of Tree Parity Machines (TPMs) is utilized in conjunction with DNA coding, Mersenne Twister-based DNA ...
Wassim Alexan +4 more
doaj +2 more sources
On Mersenne Numbers and their Bihyperbolic Generalizations [PDF]
Annales Mathematicae SilesianaeAbstract In this paper, we introduce Mersenne and Mersenne–Lucas bihyperbolic numbers, i.e. bihyperbolic numbers whose coefficients are consecutive Mersenne and Mersenne–Lucas numbers. Moreover, we study one parameter generalizations of Mersenne and Mersenne–Lucas bihyperbolic numbers.
Dorota Bród, Anetta Szynal-Liana
openaire +3 more sources
The specifics of the Galois field GF(257) and its use for digital signal processing [PDF]
Scientific ReportsAn algorithm of digital logarithm calculation for the Galois field $$GF(257)$$ G F ( 257 ) is proposed. It is shown that this field is coupled with one of the most important existing standards that uses a digital representation of the signal through 256 ...
Akhat Bakirov +4 more
doaj +2 more sources
Learned pseudo-random number generator: WGAN-GP for generating statistically robust random numbers. [PDF]
PLoS ONE, 2023 Pseudo-random number generators (PRNGs) are software algorithms generating a sequence of numbers approximating the properties of random numbers. They are critical components in many information systems that require unpredictable and nonarbitrary ...
Kiyoshiro Okada +3 more
doaj +2 more sources
Mathematics, 2019 In this paper, we study periodic tridiagonal Toeplitz matrices with perturbed corners. By using some matrix transformations, the Schur complement and matrix decompositions techniques, as well as the Sherman-Morrison-Woodbury formula, we derive explicit ...
Zhaolin Jiang, Yunlan Wei
exaly +3 more sources
Performances and Fatigue Responses to Weighted Vest Training in Parkour Novices. [PDF]
Eur J Sport SciABSTRACT Weighted vest training has demonstrated benefits for muscle strength, which is critical for parkour performance. However, the acute effects of external loading in this discipline remain poorly understood. This study investigated the impact of weighted vest use during parkour sessions on lower‐limb performance, perceived exertion, and muscle ...
Grosprêtre S +5 more
europepmc +2 more sources
Mersenne Numbers: consolidated results [PDF]
, 1986 This document provides and comments on the results of the Lucas-Lehmer testing and/or partial factorisation of all Mersenne Numbers Mp = 2^p-1 where p is prime and less than 100,000. Previous computations have either been confirmed or corrected.
Hunt, David +4 more
core +5 more sources