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Experimental Mathematics Volume 14, 2005 - Issue 3
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Original Article

On Minimal Logarithmic Signatures of Finite Groups

Wolfgang Lempken Institute for Experimental Mathematics, University of Duisburg-Essen, Ellernstrasse 29, 45326 Essen, Germany
&
Tran van Trung Institute for Experimental Mathematics, University of Duisburg-Essen, Ellernstrasse 29, 45326 Essen, Germany
Pages 257-269 | Published online: 30 Jan 2011

Citations (19)

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Read on this site (3)

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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Articles from other publishers (16)

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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Gennady Khalimov, Yevgeniy Kotukh & Svitlana Khalimova. (2021) Improved encryption scheme based on the automorphism group of the Ree function field. Improved encryption scheme based on the automorphism group of the Ree function field.
Gennady Khalimov, Yevgeniy Kotukh & Svitlana Khalimova. (2020) Encryption scheme based on the automorphism group of the Ree function field. Encryption scheme based on the automorphism group of the Ree function field.
Gennady Khalimov, Yevgen Kotukh, Otar Shonia, Ibraim Didmanidze, Oleksandr Sievierinov & Svitlana Khalimova. (2020) Encryption Scheme Based on the Automorphism Group of the Suzuki Function Field. Encryption Scheme Based on the Automorphism Group of the Suzuki Function Field.
Gennady Khalimov, Yevgeniy Kotukh & Svitlana Khalimova. (2019) MST3 Cryptosystem Based on the Automorphism Group of the Hermitian Function Field. MST3 Cryptosystem Based on the Automorphism Group of the Hermitian Function Field.
Dan Levy & Attila Maróti. (2018) Set-direct factorizations of groups. Journal of Algebra 516, pages 414-436.
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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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Haibo Hong, Licheng Wang, Haseeb Ahmad, Jun Shao & Yixian Yang. (2016) Minimal logarithmic signatures for one type of classical groups. Applicable Algebra in Engineering, Communication and Computing 28:2, pages 177-192.
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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. (2014) Minimal logarithmic signatures for the unitary group $$U_n(q)$$ U n ( q ). Designs, Codes and Cryptography 77:1, pages 179-191.
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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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Haibo Hong, Jing Li, Licheng Wang, Yixian Yang & Xinxin Niu. (2014) A Digital Signature Scheme Based on MST 3 Cryptosystems . Mathematical Problems in Engineering 2014, pages 1-11.
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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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