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Volumn 17, Issue 3-4, 2006, Pages 219-238

Conjugacy search in braid groups: From a braid-based cryptography point of view

Author keywords

Braid groups; Braid Diffie Hellman; Conjugacy problem; Conjugacy search; Cryptanalysis; Cryptography; Encryption; Key exchange; Ultra summit set

Indexed keywords

ALGORITHMS; ARTIFICIAL INTELLIGENCE; DECISION THEORY; NETWORK PROTOCOLS; THEOREM PROVING;

EID: 33746365125     PISSN: 09381279     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00200-006-0008-7     Document Type: Review
Times cited : (11)

References (24)
  • 1
    • 84937563572 scopus 로고    scopus 로고
    • New key agreement protocols in braid group cryptography
    • Topics in cryptology - CT-RSA 2001 (San Francisco, CA). Berlin Heidelberg New York: Springer
    • Anshel, I., Anshel. M., Fisher, B., Goldfeld, D.: New key agreement protocols in braid group cryptography. In: Topics in cryptology - CT-RSA 2001 (San Francisco, CA). Lecture notes in computer science, vol 2020, pp 13-27. Berlin Heidelberg New York: Springer (2001)
    • (2001) Lecture Notes in Computer Science , vol.2020 , pp. 13-27
    • Anshel, I.1    Anshel, M.2    Fisher, B.3    Goldfeld, D.4
  • 2
    • 0033245872 scopus 로고    scopus 로고
    • An algebraic method for public-key cryptography
    • Anshel, I., Anshel, M., Goldfeld, D.: An algebraic method for public-key cryptography. Math Res Lett 6(3-4), 287-291 (1999)
    • (1999) Math Res Lett , vol.6 , Issue.3-4 , pp. 287-291
    • Anshel, I.1    Anshel, M.2    Goldfeld, D.3
  • 3
    • 0000942205 scopus 로고
    • Theory of braids
    • Artin, E.: Theory of braids. Ann Math 48(2). 101-126 (1947)
    • (1947) Ann Math , vol.48 , Issue.2 , pp. 101-126
    • Artin, E.1
  • 4
    • 0035684713 scopus 로고    scopus 로고
    • The infimum, supremum, and geodesic length of a braid conjugacy class
    • Birman, J.S., Ko, K.H., Lee, S.J.: The infimum, supremum, and geodesic length of a braid conjugacy class. Adv Math 164(1), 41-56 (2001)
    • (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 T: The user language
    • Bosma, W., Cannon, J., Playoust, C.: The MAGMA algebra system T: the user language. J Symbolic Comput 24, 235-265 (1997). http://www.magma.maths.usyd. edu.au/magma/
    • (1997) J Symbolic Comput , vol.24 , pp. 235-265
    • Bosma, W.1    Cannon, J.2    Playoust, C.3
  • 6
    • 84946826517 scopus 로고    scopus 로고
    • An efficient implementation of braid groups
    • Advances in cryptology - ASIACRYPT 2001 (Gold Coast). Berlin Heidelberg New York: Springer
    • Cha, J.C., Ko, K.H., Lee, S.J., Han, J.W., Cheon, J.H.: An efficient implementation of braid groups. In: Advances in cryptology - ASIACRYPT 2001 (Gold Coast). Lecture notes in computer science, vol 2248, pp 144-156. Berlin Heidelberg New York: Springer (2001)
    • (2001) Lecture Notes in Computer Science , vol.2248 , pp. 144-156
    • Cha, J.C.1    Ko, K.H.2    Lee, S.J.3    Han, J.W.4    Cheon, J.H.5
  • 7
    • 33746369050 scopus 로고    scopus 로고
    • A polynomial time algorithm for the Braid Diffie-Hellman conjugacy problem
    • in press
    • Cheon, J.H., Jun, B.: A polynomial time algorithm for the Braid Diffie-Hellman conjugacy problem. In: CRYPTO: Proceedings of Crypto (2003) (in press)
    • (2003) CRYPTO: Proceedings of Crypto
    • Cheon, J.H.1    Jun, B.2
  • 8
    • 33645959295 scopus 로고    scopus 로고
    • Braid-based cryptography
    • Myasnikov, A., Shpilrain, V., (eds.) Group theory, statistics and cryptography. American Mathematical Society
    • Dehornoy, P.: Braid-based cryptography. In: Myasnikov, A., Shpilrain, V., (eds.) Group theory, statistics and cryptography. Contemporary mathematics, vol 360, pp 5-33. American Mathematical Society (2004)
    • (2004) Contemporary Mathematics , vol.360 , pp. 5-33
    • Dehornoy, P.1
  • 11
    • 0141942095 scopus 로고    scopus 로고
    • Computation of centralizers in braid groups and Garside groups
    • Franco, N., González-Meneses, J.: Computation of centralizers in braid groups and Garside groups. Rev Mat Iberoamericana 19(2). 367-384 (2003)
    • (2003) Rev Mat Iberoamericana , vol.19 , Issue.2 , pp. 367-384
    • Franco, N.1    González-Meneses, J.2
  • 12
    • 0041657285 scopus 로고    scopus 로고
    • Conjugacy problem for braid groups and Garside groups
    • Franco, N., González-Meneses, J.: Conjugacy problem for braid groups and Garside groups. J Algebra 266(1), 112-132 (2003)
    • (2003) J Algebra , vol.266 , Issue.1 , pp. 112-132
    • Franco, N.1    González-Meneses, J.2
  • 14
    • 0039349071 scopus 로고
    • The braid group and other groups
    • Garside, F.A.: The braid group and other groups. Q J Math Oxford Ser (2)20, 235-254 (1969)
    • (1969) Q J Math Oxford Ser (2) , vol.20 , pp. 235-254
    • Garside, F.A.1
  • 15
    • 24644494679 scopus 로고    scopus 로고
    • A new approach to the conjugacy problem in Garside groups
    • Gebhardt, V.: A new approach to the conjugacy problem in Garside groups. J Algebra 292 (1), 282-302 (2005)
    • (2005) J Algebra , vol.292 , Issue.1 , pp. 282-302
    • Gebhardt, V.1
  • 17
    • 35248884293 scopus 로고    scopus 로고
    • A practical attack on some braid group based cryptographic primitives
    • Public key cryptography, 6th international workshop on practice and theory in public key cryptography, PKC 2003. Berlin Heidelberg New York: Springer
    • Hofheinz, D., Steinwandt, R.: A practical attack on some braid group based cryptographic primitives. In: Public key cryptography, 6th international workshop on practice and theory in public key cryptography, PKC 2003. Lecture notes in computer science, vol 2567, pp 187-198. Berlin Heidelberg New York: Springer (2003)
    • (2003) Lecture Notes in Computer Science , vol.2567 , pp. 187-198
    • Hofheinz, D.1    Steinwandt, R.2
  • 18
    • 84947423684 scopus 로고    scopus 로고
    • A linear algebraic attack on the AAFG1 braid group cryptosystem
    • The 7th Australasian conference on information security and privacy, ACISP 2002. Berlin Heidelberg New York: Springer
    • Hughes, J.: A linear algebraic attack on the AAFG1 braid group cryptosystem. In: The 7th Australasian conference on information security and privacy, ACISP 2002. Lecture notes in computer science, vol 2384, pp 176-189. Berlin Heidelberg New York: Springer (2002)
    • (2002) Lecture Notes in Computer Science , vol.2384 , pp. 176-189
    • Hughes, J.1
  • 20
    • 84974622583 scopus 로고    scopus 로고
    • New public-key cryptosystem using braid groups
    • Advances in cryptology - CRYPTO 2000 (Santa Barbara, CA). Berlin Heidelberg New York: Springer
    • Ko, K.H., Lee, S.J., Cheon, J.H., Han, J.W., Kang, J.-S., Park, C.: New public-key cryptosystem using braid groups. In: Advances in cryptology - CRYPTO 2000 (Santa Barbara, CA). Lecture notes in computer science, vol 1880, pp 166-183. Berlin Heidelberg New York: Springer (2000)
    • (2000) Lecture Notes in Computer Science , 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
  • 21
    • 56749171805 scopus 로고    scopus 로고
    • Potential weakness of the commutator key agreement protocol based on braid groups
    • EuroCrypt 2002. Berlin Heidelberg New York: Springer
    • Lee, S.J., Lee, E.: Potential weakness of the commutator key agreement protocol based on braid groups. In: EuroCrypt 2002. Lecture notes in computer science, vol 2332, pp 14-28. Berlin Heidelberg New York: Springer (2002)
    • (2002) Lecture Notes in Computer Science , vol.2332 , pp. 14-28
    • Lee, S.J.1    Lee, E.2
  • 22
    • 84880879949 scopus 로고    scopus 로고
    • Pseudorandomness from braid groups
    • Advances in cryptology - CRYPTO 2001 (Santa Barbara, CA). Berlin Heidelberg New York: Springer
    • Lee. E., Lee. S.J., Hahn, S.G.: Pseudorandomness from braid groups. In: Advances in cryptology - CRYPTO 2001 (Santa Barbara, CA). Lecture notes in computer science, vol 2139, pp 486-502. Berlin Heidelberg New York: Springer (2001)
    • (2001) Lecture Notes in Computer Science , vol.2139 , pp. 486-502
    • Lee, E.1    Lee, S.J.2    Hahn, S.G.3
  • 23
    • 4344668101 scopus 로고
    • Public key distribution systems based on noncommutative semigroups
    • Sidel'nikov, V.M., Cherepnev, M.A., Yashchenko, V.V.: Public key distribution systems based on noncommutative semigroups. Dokl Akad Nauk 332(5), 566-567 (1993)
    • (1993) Dokl Akad Nauk , vol.332 , Issue.5 , pp. 566-567
    • Sidel'nikov, V.M.1    Cherepnev, M.A.2    Yashchenko, V.V.3
  • 24
    • 84968476184 scopus 로고
    • On the geometry and dynamics of diffeomorphisms of surfaces
    • Thurston. W.P.: On the geometry and dynamics of diffeomorphisms of surfaces. Bull Am Math Soc (NS) 19(2), 417-431 (1988)
    • (1988) Bull Am Math Soc (NS) , vol.19 , Issue.2 , pp. 417-431
    • Thurston, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.