Araştırma Makalesi

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

Cilt: 4 Sayı: 3 15 Eylül 2017
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EN

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

Öz

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.

Anahtar Kelimeler

Kaynakça

  1. [1] S. Ambrose, S. Murray, C. E. Praeger, C. Schneider, Constructive membership testing in black–box classical groups, Proceedings of The Third International Congress on Mathematical Software, LNCS 6327 (2011) 54–57.
  2. [2] H. Bäärnhielm, D. Holt, C. R. Leedham-Green, E. A. O’Brien, A practical model for computation with matrix groups, J. Symb. Comput. 68 (2015) 27–60.
  3. [3] W. Bosma, J. Cannon, C. Playoust, The Magma algebra system. I: The user language, J. Symb. Comput. 24(3-4) (1997) 235–265.
  4. [4] P. Brooksbank, Constructive recognition of classical groups in their natural representation, J. Symb. Comput. 35(2) (2003) 195–239.
  5. [5] P. Brooksbank, Fast constructive recognition of black–box unitary groups, LMS J. Comput. Math. 6 (2003) 162–197.
  6. [6] R. Carter, Simple Groups of Lie Type, New York: John Wiley and Sons, 1972.
  7. [7] A. M. Cohen, S. H. Murray, D. E. Taylor, Computing in groups of Lie type, Math. Comput. 73 (2004) 1477–1498.
  8. [8] E. Costi, Constructive Membership Testing in Classical Groups, Ph.D. thesis, Queen Mary, Univ. of London, 2009.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

15 Eylül 2017

Gönderilme Tarihi

8 Temmuz 2017

Kabul Tarihi

23 Ocak 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 4 Sayı: 3

Kaynak Göster

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, ve 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 (01 Eylül 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 ve A. Singh, “Gaussian elimination in split unitary groups with an application to public-key cryptography”, Journal of Algebra Combinatorics Discrete Structures and Applications, c. 4, sy 3, ss. 247–260, Eyl. 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 (01 Eylül 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, ve Anupam Singh. “Gaussian elimination in split unitary groups with an application to public-key cryptography”. Journal of Algebra Combinatorics Discrete Structures and Applications, c. 4, sy 3, Eylül 2017, ss. 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. 01 Eylül 2017;4(3):247-60. doi:10.13069/jacodesmath.327373