EN
Gaussian elimination in split unitary groups with an application to public-key cryptography
Abstract
Gaussian elimination is used in special linear groups to
solve the word problem. In this paper, we extend Gaussian
elimination to split unitary groups. These algorithms
have an application in building a public-key cryptosystem, we demonstrate
that.
Keywords
References
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- [4] P. Brooksbank, Constructive recognition of classical groups in their natural representation, J. Symb. Comput. 35(2) (2003) 195–239.
- [5] P. Brooksbank, Fast constructive recognition of black–box unitary groups, LMS J. Comput. Math. 6 (2003) 162–197.
- [6] R. Carter, Simple Groups of Lie Type, New York: John Wiley and Sons, 1972.
- [7] A. M. Cohen, S. H. Murray, D. E. Taylor, Computing in groups of Lie type, Math. Comput. 73 (2004) 1477–1498.
- [8] E. Costi, Constructive Membership Testing in Classical Groups, Ph.D. thesis, Queen Mary, Univ. of London, 2009.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
September 15, 2017
Submission Date
July 8, 2017
Acceptance Date
January 23, 2017
Published in Issue
Year 2017 Volume: 4 Number: 3
APA
Mahalanobis, A., & Singh, A. (2017). Gaussian elimination in split unitary groups with an application to public-key cryptography. Journal of Algebra Combinatorics Discrete Structures and Applications, 4(3), 247-260. https://doi.org/10.13069/jacodesmath.327373
AMA
1.Mahalanobis A, Singh A. Gaussian elimination in split unitary groups with an application to public-key cryptography. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017;4(3):247-260. doi:10.13069/jacodesmath.327373
Chicago
Mahalanobis, Ayan, and Anupam Singh. 2017. “Gaussian Elimination in Split Unitary Groups With an Application to Public-Key Cryptography”. Journal of Algebra Combinatorics Discrete Structures and Applications 4 (3): 247-60. https://doi.org/10.13069/jacodesmath.327373.
EndNote
Mahalanobis A, Singh A (September 1, 2017) Gaussian elimination in split unitary groups with an application to public-key cryptography. Journal of Algebra Combinatorics Discrete Structures and Applications 4 3 247–260.
IEEE
[1]A. Mahalanobis and A. Singh, “Gaussian elimination in split unitary groups with an application to public-key cryptography”, Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 4, no. 3, pp. 247–260, Sept. 2017, doi: 10.13069/jacodesmath.327373.
ISNAD
Mahalanobis, Ayan - Singh, Anupam. “Gaussian Elimination in Split Unitary Groups With an Application to Public-Key Cryptography”. Journal of Algebra Combinatorics Discrete Structures and Applications 4/3 (September 1, 2017): 247-260. https://doi.org/10.13069/jacodesmath.327373.
JAMA
1.Mahalanobis A, Singh A. Gaussian elimination in split unitary groups with an application to public-key cryptography. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017;4:247–260.
MLA
Mahalanobis, Ayan, and Anupam Singh. “Gaussian Elimination in Split Unitary Groups With an Application to Public-Key Cryptography”. Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 4, no. 3, Sept. 2017, pp. 247-60, doi:10.13069/jacodesmath.327373.
Vancouver
1.Ayan Mahalanobis, Anupam Singh. Gaussian elimination in split unitary groups with an application to public-key cryptography. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017 Sep. 1;4(3):247-60. doi:10.13069/jacodesmath.327373