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Experimental Mathematics Volume 12, 2003 - Issue 1
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Original Articles

On Minimal Length Factorizations of Finite Groups

María Isabel González Vasco Departamento de Matematicas, Universidad de Oviedo, c/Calvo Sotelo, s/n, 33007, Oviedo, Spain E-mail: [email protected]
,
Martin Rötteler Centre for Applied Cryptographic Research, Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1 E-mail: [email protected]
&
Rainer Steinwandt Institut fur Algorithmen und Kognitive Systeme, Arbeitsgruppe Computeralgebra, Prof. Dr. Th. Beth, Universitat Karlsruhe, 76128, Karlsruhe, Germany E-mail: [email protected]
Pages 1-12 | Published online: 03 Apr 2012

Citations (16)

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Read on this site (5)

A. Y. M. Chin, K. L. Wang & K. B. Wong. (2022) On the size of complete decompositions of finite cyclic groups. Communications in Algebra 50:10, pages 4145-4154.
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Ali Reza Rahimipour. (2021) Exact Factorizations of Sporadic Simple Groups. Experimental Mathematics 30:4, pages 441-446.
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Ali Reza Rahimipour. (2021) Classifying exact factorizations of minimal length of sporadic simple groups. Communications in Algebra 49:3, pages 1163-1172.
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A. R. Rahimipour, A. R. Ashrafi & A. Gholami. (2018) The Existence of Minimal Logarithmic Signatures for Some Finite Simple Groups. Experimental Mathematics 27:2, pages 138-146.
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P.E. Holmes. (2004) On Minimal Factorisations of Sporadic Groups. Experimental Mathematics 13:4, pages 435-440.
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Articles from other publishers (11)

A.Y.M. Chin, K.L. Wang & K.B. Wong. (2023) Complete factorizations of finite abelian groups. Journal of Algebra 628, pages 509-523.
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Ali Reza Rahimipour & Ali Reza Ashrafi. (2021) The Existence of Minimal Logarithmic Signatures for Some Finite Simple Unitary Groups. Vietnam Journal of Mathematics 50:1, pages 217-227.
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Haibo Hong, Licheng Wang, Haseeb Ahmad, Yixian Yang & Zhiguo Qu. (2016) Minimum length key in MST cryptosystemsMST密码系统中极小长度密钥的研究. Science China Information Sciences 60:5.
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A. R. Rahimipour, A. R. Ashrafi & A. Gholami. (2015) The existence of minimal logarithmic signatures for the sporadic Suzuki and simple Suzuki groups. Cryptography and Communications 7:4, pages 535-542.
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Haibo Hong, Licheng Wang, Yixian Yang & Haseeb Ahmad. (2014) All exceptional groups of lie type have minimal logarithmic signatures. Applicable Algebra in Engineering, Communication and Computing 25:4, pages 287-296.
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Nikhil Singhi & Nidhi Singhi. (2010) Minimal logarithmic signatures for classical groups. Designs, Codes and Cryptography 60:2, pages 183-195.
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Simon R. Blackburn, Carlos Cid & Ciaran Mullan. 2011. Groups St Andrews 2009 in Bath. Groups St Andrews 2009 in Bath 133 149 .
Nidhi Singhi, Nikhil Singhi & Spyros Magliveras. (2010) Minimal logarithmic signatures for finite groups of Lie type. Designs, Codes and Cryptography 55:2-3, pages 243-260.
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Simon R. Blackburn, Carlos Cid & Ciaran Mullan. (2009) Cryptanalysis of the MST 3 public key cryptosystem. Journal of Mathematical Cryptology 3:4.
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Ulrich Tamm. (2007) Group Factorizations and Information Theory. Group Factorizations and Information Theory.
Jens-Matthias Bohli, Rainer Steinwandt, María Isabel González Vasco & Consuelo Martínez. (2005) Weak Keys in MST1. Designs, Codes and Cryptography 37:3, pages 509-524.
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