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Conjugacy Systems Based on Nonabelian Factorization Problems and Their Applications in Cryptography
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
To resist known quantum algorithm attacks, several nonabelian algebraic structures mounted upon the stage of modern cryptography.
Recently, Baba et al.
proposed an important analogy from the integer factorization problem to the factorization problem over nonabelian groups.
In this paper, we propose several conjugated problems related to the factorization problem over nonabelian groups and then present three constructions of cryptographic primitives based on these newly introduced conjugacy systems: encryption, signature, and signcryption.
Sample implementations of our proposal as well as the related performance analysis are also presented.
American Psychological Association (APA)
Gu, Lize& Zheng, Shihui. 2014. Conjugacy Systems Based on Nonabelian Factorization Problems and Their Applications in Cryptography. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-486573
Modern Language Association (MLA)
Gu, Lize& Zheng, Shihui. Conjugacy Systems Based on Nonabelian Factorization Problems and Their Applications in Cryptography. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-486573
American Medical Association (AMA)
Gu, Lize& Zheng, Shihui. Conjugacy Systems Based on Nonabelian Factorization Problems and Their Applications in Cryptography. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-486573
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486573