Results 81 to 90 of about 8,955,762 (211)
On the factors of certain Mersenne numbers. II [PDF]
Mathematics of Computation, 1964 Verf. läßt einer mit \textit{G. D. Johnson} gemeinsam veröffentlichten Arbeit [Math. Comput. 14, 365--369 (1960; Zbl 0099.26305)] einen zweiten Teil folgen. Dieser verzeichnet \(899\) neue Faktoren \(q\) von \(M_p\), für \(383\le p < 20000\) und dient gleichsam als Vervollständigung früherer derartiger Verzeichnisse, etwa \textit{S.
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On the intersections of nilpotent subgroups in simple groups
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract Let G$G$ be a finite group and let Hp$H_p$ be a Sylow p$p$‐subgroup of G$G$. A recent conjecture of Lisi and Sabatini asserts the existence of an element x∈G$x \in G$ such that Hp∩Hpx$H_p \cap H_p^x$ is inclusion‐minimal in the set {Hp∩Hpg:g∈G}$\lbrace H_p \cap H_p^g \,:\, g \in G\rbrace$ for every prime p$p$.
Timothy C. Burness, Hong Yi Huang
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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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Generalized New Mersenne Number Transforms
IEEE Transactions on Signal Processing, 2012 Two new number theoretic transforms named as odd and odd-squared new Mersenne number transforms are introduced for incorporation into a generalized new Mersenne number transforms (GNMNTs) suite, which are defined in finite fields modulo Mersenne primes where arithmetic operations and residue reductions are simple to implement. This suite is categorized
Boussakta S, Mounir H, Rutter N
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A Study On Generalized Mersenne Numbers [PDF]
, 2021 In this paper, we introduce the generalized Mersenne sequence and we deal with, in detail, two special cases, namely, Mersenne and Mersenne-Lucas sequences.
Soykan, Yüksel
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Improved SAFER Plus Algorithm Using the Odd-Squared New Mersenne Number Transform
Proceedings of the International Conference on Applied Innovations in ITEncryption secures data by transforming it into unreadable information (ciphertext) that can only be read by authorized receivers, who then convert the unclear data back into the original plaintext.
Abdulmutalib A-Wahab Hussein +2 more
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Efficient SIMD Arithmetic Modulo a Mersenne Number [PDF]
2011 IEEE 20th Symposium on Computer Arithmetic, 2011 This paper describes carry-less arithmetic operations modulo an integer 2^M-1 in the thousand-bit range, targeted at single instruction multiple data platforms and applications where overall throughput is the main performance criterion. Using an implementation on a cluster of PlayStation 3 game consoles a new record was set for the elliptic curve ...
Joppe W. Bos +3 more
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FPGA Realization of a Novel Hyperchaos Augmented Image Encryption Algorithm
IET Computers &Digital Techniques, Volume 2026, Issue 1, 2026.With the rapid growth of multimedia communication, protecting image data has become increasingly critical. This article proposes a novel 3‐stage hyperchaos‐based augmented image encryption technique (3SHAIET) that utilizes a three‐stage process with chaotic systems of increasing dimensionality (e.g., six‐dimensional [6D], 8D, and 9D) to enhance ...
Wassim Alexan +6 more
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AI Secure Watermarking Method Leveraging the Error‐Resistant Nature of Deep Learning Models
IET Image Processing, Volume 20, Issue 1, January/December 2026.ABSTRACT The widespread use of generated media based on generative AI models, raises the risks of copyright violation and ownership conflicts. It has also introduced challenges such as deepfake misuse and unauthorised distribution of digital content. Watermarking methodologies, including embedding and tracing, have emerged as solutions for protecting ...
Arushi Chatterjee +4 more
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Associated Mersenne graphs [PDF]
In this paper, a new sub-family of Hypercubes called the \textit{associated Mersenne graphs} $\mathcal{M}_{n}$ are introduced. The definition of associated Mersenne graphs is motivated from the Fibonacci-run graphs ({Ö}. Eǧecioǧlu, V.
Yang, Yujun, Wei, Jianxin
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