Results 11 to 20 of about 451,593 (141)
Arab Journal of Basic and Applied SciencesThis paper introduces a new key geometric way to understand Mersenne prime numbers. It discovers a shape called the Mersenne Star, which appears naturally from a special sequence named the Quanta Prime Sequence (QPS).
Moustafa Ibrahim
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Three new Mersenne primes and a statistical theory [PDF]
, 1964 Donald B. Gillies
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Cryptographically Strong Elliptic Curves of Prime Order [PDF]
International Journal of Electronics and Telecommunications, 2021 The purpose of this paper is to generate cryptographically strong elliptic curves over prime fields Fp, where p is a Mersenne prime, one of the special primes or a random prime. We search for elliptic curves which orders are also prime numbers.
Marcin Barański +2 more
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A study on the number of edges of some families of graphs and generalized Mersenne numbers
Ratio Mathematica, 2022 The relationship between the Nandu sequence of the SM family of graphs and the Generalized Mersenne numbers is demonstrated in this study. Nandu sequences are related to the two families of SM sum graphs and SM Balancing graphs.
K.G. Sreekumar +3 more
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Public key cryptographic algorithm SM2 optimized implementation on low power embedded platform
网络与信息安全学报, 2022 With the development of wireless communication technology and the popularization of intelligent terminals, more and more cryptographic algorithms are applied to IoT devices to ensure the security of communication and data.Among them, the SM2 elliptic ...
Ganqin LIU +4 more
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Splitting Sequences for Coding and Hybrid Incremental ARQ with Fragment Retransmission
Mathematics, 2021 This paper proposes a code defined on a finite ring ℤpM, where pM = 2m−1 is a Mersenne prime, and m is a binary size of ring elements. The code is based on a splitting sequence (splitting set) S, defined for the given multiplier set E=±20, ±21,…, ±2m−1 ...
Dragana Bajić +2 more
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The Prime Number Theorem, Mersenne Primes, the Log Integral Function, and Riemann’s R(x) Function
Global Journal of Pure and Applied MathematicsDarrell Cox
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Initialization of metaheuristics: comprehensive review, critical analysis, and research directions
International Transactions in Operational Research, Volume 30, Issue 6, Page 3361-3397, November 2023., 2023 Abstract Initialization of metaheuristics is a crucial topic that lacks a comprehensive and systematic review of the state of the art. Providing such a review requires in‐depth study and knowledge of the advances and challenges in the broader field of metaheuristics, especially with regard to diversification strategies, in order to assess the proposed ...
Malek Sarhani +2 more
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Autocorrelation and Lower Bound on the 2-Adic Complexity of LSB Sequence of
IEEE Access, 2020 LSB (Least Significant Bit) sequences are widely used as the initial inputs in some modern stream ciphers, such as the ZUC algorithm-the core of the 3GPP LTE International Encryption Standard. Therefore, analyzing the statistical properties (for example,
Yuhua Sun +3 more
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Magnetic Resonance in Medicine, Volume 90, Issue 3, Page 1041-1052, September 2023., 2023 Purpose To develop and evaluate a 3D sector‐wise golden‐angle (3D‐SWIG) profile ordering scheme for cardiovascular MR cine imaging that maintains high k‐space uniformity after electrocardiogram (ECG) binning. Method Cardiovascular MR (CMR) was performed at 1.5 T. A balanced SSFP pulse sequence was implemented with a novel 3D‐SWIG radial ordering, where
Alexander Fyrdahl +5 more
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