Keyword

cyclic groups

Description: Cyclic groups are mathematical groups whose elements can all be generated by repeatedly applying the group operation to a single element.

Primary topic: Finite Group Theory Research (32%)

Related topic: Finite Group Theory Research (32%)

Wikidata ID: wiki/Q245462

OpenAlex ID: keywords/cyclic-groups

Lower Bounds for Discrete Logarithms and Related Problems

1997 · Victor Shoup · Lecture notes in computer science · 1,248

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Principles of Advanced Mathematical Physics

1981 · Robert D. Richtmyer · Springer eBooks · 377

Character sums and difference sets

1965 · Richard Turyn · Pacific Journal of Mathematics · 314

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Undirected power graphs of semigroups

2009 · Ivy Chakrabarty, Shamik Ghosh, et al. · Semigroup Forum · 299

Cyclotomic q–Schur algebras

1998 · Richard Dipper, Gordon James, et al. · Mathematische Zeitschrift · 264

Cyclic Groups of Automorphisms of a Compact Riemann Surface

1966 · W. J. HARVEY · The Quarterly Journal of Mathematics · 242

Abstract Models of Computation in Cryptography

2005 · Ueli Maurer · Lecture notes in computer science · 234

A class of geometric lattices based on finite groups

1973 · T.A. Dowling · Journal of Combinatorial Theory Series B · 206

Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen Fällen.

1935 · H. Davenport, H. Hasse · Journal für die reine und angewandte Mathematik (Crelles Journal) · 190

A Ternary Analogue of Abelian Groups

1932 · D. H. Lehmer · American Journal of Mathematics · 189

Complex Hadamard matrices and the Spectral Set Conjecture

2004 · Kolountzakis, Mihail N., Matolcsi, Mate · RACO (Revistes Catalanes amb Accés Obert) (Consorci de Serveis Universitaris de Catalunya) · 147

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Automorphism Groups of Compact Bordered Klein Surfaces: A Combinatorial Approach

1990 · E. Bujalance, José Javier Etayo Gordejuela, et al. · Library Open Repository (Universidad Complutense Madrid) · 147

Parallel collision search with application to hash functions and discrete logarithms

1994 · Paul C. van Oorschot, Michael J. Wiener · Proceedings of the ACM Conference on Computer and Communications Security · 146

Kangaroos, Monopoly and Discrete Logarithms

2000 · J. M. Pollard · Journal of Cryptology · 143

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Codes and automata

2010 · Choice Reviews Online · 142

Deformationen von Quotientensingularit�ten (nach zyklischen Gruppen)

1974 · Oswald Riemenschneider · Mathematische Annalen · 138

The Relationship Between Breaking the Diffie--Hellman Protocol and Computing Discrete Logarithms

1999 · Ueli M. Maurer, Stefan Wolf · SIAM Journal on Computing · 137

Towards the equivalence of breaking the Diffie-Hellman protocol and computing discrete logarithms

1994 · Ueli Maurer · 133

A Generalization of LSB Matching

2009 · Xiaolong Li, Bin Yang, et al. · IEEE Signal Processing Letters · 129

Diffie-Hellman Oracles

1996 · Ueli M. Maurer, Stefan Wolf · Lecture notes in computer science · 127

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The metric dimension of Cayley digraphs

2006 · Melodie Fehr, Shonda Gosselin, et al. · Discrete Mathematics · 120

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Towards the Equivalence of Breaking the Diffie-Hellman Protocol and Computing Discrete Logarithms

2007 · Ueli M. Maurer · Springer eBooks · 116

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Packing and partitioning orbitopes

2007 · Volker Kaibel, Marc Pfetsch · Mathematical Programming · 113

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Smith normal form and Laplacians

2008 · Dino Lorenzini · Journal of Combinatorial Theory Series B · 111

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A solution of the isomorphism problem for circulant graphs

2004 · M. Muzychuk · Proceedings of the London Mathematical Society · 109

Works count: 5,152

Citation count: 30,070