Research Article

Gaussian elimination in split unitary groups with an application to public-key cryptography

Volume: 4 Number: 3 September 15, 2017
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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  6. [6] R. Carter, Simple Groups of Lie Type, New York: John Wiley and Sons, 1972.
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  8. [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