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Volumn 292, Issue 1 SPEC. ISS., 2005, Pages 282-302

A new approach to the conjugacy problem in Garside groups

Author keywords

Braid group cryptography; Braid groups; Conjugacy problem; Conjugacy search problem; Garside groups; Super summit set; Ultra summit set

Indexed keywords


EID: 24644494679     PISSN: 00218693     EISSN: 1090266X     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2005.02.002     Document Type: Article
Times cited : (68)

References (16)
  • 1
    • 0033245872 scopus 로고    scopus 로고
    • An algebraic method for public-key cryptography
    • I. Anshel M. Anshel D. Goldfeld An algebraic method for public-key cryptography Math. Res. Lett. 6 3-4 1999 287-291
    • (1999) Math. Res. Lett. , vol.6 , Issue.3-4 , pp. 287-291
    • Anshel, I.1    Anshel, M.2    Goldfeld, D.3
  • 2
    • 0000942205 scopus 로고
    • Theory of braids
    • E. Artin Theory of braids Ann. of Math. (2) 48 1947 101-126
    • (1947) Ann. of Math. (2) , vol.48 , pp. 101-126
    • Artin, E.1
  • 3
    • 0001131295 scopus 로고    scopus 로고
    • A new approach to the word and conjugacy problems in the braid groups
    • J. Birman K.H. Ko S.J. Lee A new approach to the word and conjugacy problems in the braid groups Adv. Math. 139 2 1998 322-353
    • (1998) Adv. Math. , vol.139 , Issue.2 , pp. 322-353
    • Birman, J.1    Ko, K.H.2    Lee, S.J.3
  • 4
    • 0035684713 scopus 로고    scopus 로고
    • The infimum, supremum, and geodesic length of a braid conjugacy class
    • J.S. Birman K.H. Ko S.J. Lee The infimum, supremum, and geodesic length of a braid conjugacy class Adv. Math. 164 1 2001 41-56
    • (2001) Adv. Math. , vol.164 , Issue.1 , pp. 41-56
    • Birman, J.S.1    Ko, K.H.2    Lee, S.J.3
  • 5
    • 0031232428 scopus 로고    scopus 로고
    • The MAGMA algebra system I: The user language
    • W. Bosma J. Cannon C. Playoust The MAGMA algebra system I: The user language J. Symbolic Comput. 24 1997 235-265 http://magma.maths.usyd.edu.au/magma/
    • (1997) J. Symbolic Comput. , vol.24 , pp. 235-265
    • Bosma, W.1    Cannon, J.2    Playoust, C.3
  • 7
    • 0000850020 scopus 로고    scopus 로고
    • Gaussian groups and Garside groups, two generalisations of Artin groups
    • P. Dehornoy L. Paris Gaussian groups and Garside groups, two generalisations of Artin groups Proc. London Math. Soc. (3) 79 3 1999 569-604
    • (1999) Proc. London Math. Soc. (3) , vol.79 , Issue.3 , pp. 569-604
    • Dehornoy, P.1    Paris, L.2
  • 10
    • 0041657285 scopus 로고    scopus 로고
    • Conjugacy problem for braid groups and Garside groups
    • N. Franco J. González-Meneses Conjugacy problem for braid groups and Garside groups J. Algebra 266 1 2003 112-132
    • (2003) J. Algebra , vol.266 , Issue.1 , pp. 112-132
    • Franco, N.1    González-Meneses, J.2
  • 13
    • 84974622583 scopus 로고    scopus 로고
    • New public-key cryptosystem using braid groups
    • Advances in Cryptology CRYPTO 2000, Santa Barbara, CA Springer-Verlag Berlin
    • K.H. Ko S.J. Lee J.H. Cheon J.W. Han J.-S. Kang C. Park New public-key cryptosystem using braid groups in: Advances in Cryptology CRYPTO 2000, Santa Barbara, CA in: Lecture Notes in Comput. Sci. vol. 1880 2000 Springer-Verlag Berlin 166-183
    • (2000) Lecture Notes in Comput. Sci. , vol.1880 , pp. 166-183
    • Ko, K.H.1    Lee, S.J.2    Cheon, J.H.3    Han, J.W.4    Kang, J.-S.5    Park, C.6
  • 14
    • 84880879949 scopus 로고    scopus 로고
    • Pseudorandomness from braid groups
    • Advances in Cryptology CRYPTO 2001, Santa Barbara, CA Springer-Verlag Berlin
    • E. Lee S.J. Lee S.G. Hahn Pseudorandomness from braid groups in: Advances in Cryptology CRYPTO 2001, Santa Barbara, CA in: Lecture Notes in Comput. Sci. vol. 2139 2001 Springer-Verlag Berlin 486-502
    • (2001) Lecture Notes in Comput. Sci. , vol.2139 , pp. 486-502
    • Lee, E.1    Lee, S.J.2    Hahn, S.G.3
  • 15
    • 0006796197 scopus 로고    scopus 로고
    • The conjugacy problem in small Gaussian groups
    • M. Picantin The conjugacy problem in small Gaussian groups Comm. Algebra 29 3 2001 1021-1039
    • (2001) Comm. Algebra , vol.29 , Issue.3 , pp. 1021-1039
    • Picantin, M.1
  • 16
    • 84968476184 scopus 로고
    • On the geometry and dynamics of diffeomorphisms of surfaces
    • W.P. Thurston On the geometry and dynamics of diffeomorphisms of surfaces Bull. Amer. Math. Soc. (N.S.) 19 2 1988 417-431
    • (1988) Bull. Amer. Math. Soc. (N.S.) , vol.19 , Issue.2 , pp. 417-431
    • Thurston, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.