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Volumn 1294, Issue , 1997, Pages 385-394

A one way function based on ideal arithmetic in number fields

Author keywords

Number fields; One way function; Shortest vectors in lattices

Indexed keywords

DATA COMMUNICATION SYSTEMS; POLYNOMIAL APPROXIMATION;

EID: 84958667547     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/BFb0052250     Document Type: Conference Paper
Times cited : (13)

References (14)
  • 2
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    • On the computation of discrete logarithms in class groups
    • Springer
    • J. Buchmann and S. Dullmann. On the computation of discrete logarithms in class groups. In Proc. of CRYPTO'90, volume 537 of Lecture Notes in Computer Science, pages 134-139. Springer, 1990.
    • (1990) Proc. of CRYPTO'90 , vol.537 , pp. 134-139
    • Buchmann, J.1    Dullmann, S.2
  • 3
    • 0003466442 scopus 로고    scopus 로고
    • MIT Press, Cambridge, Massachusetts and London, England
    • E. Bach and J. Shallit. Algorithmic number theory. MIT Press, Cambridge, Massachusetts and London, England, 1996.
    • (1996) Algorithmic Number Theory
    • Bach, E.1    Shallit, J.2
  • 4
    • 0011491022 scopus 로고
    • A subexponential algorithm for the determination of class groups and regulators of algebraic number fields
    • J. Buchmann. A subexponential algorithm for the determination of class groups and regulators of algebraic number fields. Siminaire de thiorie des nombres, pages 28-41, 1988.
    • (1988) Siminaire De Thiorie Des Nombres , pp. 28-41
    • Buchmann, J.1
  • 5
    • 0024139987 scopus 로고
    • A key-exchange system based on imaginary quadratic fields
    • J. Buchmann and H.C. Williams. A key-exchange system based on imaginary quadratic fields. Journal of Cryptology, 1:107-118, 1988.
    • (1988) Journal of Cryptology , vol.1 , pp. 107-118
    • Buchmann, J.1    Williams, H.C.2
  • 6
    • 0007345301 scopus 로고
    • Quadratic fields and cryptography. Number Theory and Cryptography
    • J. Buchmann and H.C. Williams. Quadratic fields and cryptography. Number Theory and Cryptography, London Math. Soc. Lecture Note Series, 154:9-26, 1990.
    • (1990) London Math. Soc. Lecture Note Series , vol.154 , pp. 9-26
    • Buchmann, J.1    Williams, H.C.2
  • 8
    • 84958674883 scopus 로고
    • LiDIA - A library for computational number theory
    • Germany. http://www.informatik.th-darmstadt.de/TI/LiDIA
    • The LiDIA Group. LiDIA - A library for computational number theory. Technische Hochschule Darmstadt, Germany. http://www.informatik.th-darmstadt.de/TI/LiDIA.
    • (1990) Technische Hochschule Darmstadt
  • 9
    • 0000126406 scopus 로고
    • Minkowski's konvex body theorem and integer programming
    • R. Kannan. Minkowski's konvex body theorem and integer programming. Mathematics of operations research, 12, no. 5, 1987.
    • (1987) Mathematics of Operations Research , vol.5 , pp. 12
    • Kannan, R.1
  • 10
    • 84968503742 scopus 로고
    • Elliptic curve cryptosystems
    • N. Koblitz. Elliptic curve cryptosystems. Math. Comp., 48:203-209, 1987.
    • (1987) Math. Comp. , vol.48 , pp. 203-209
    • Koblitz, N.1
  • 12
    • 0017930809 scopus 로고
    • A method for obtaining digital signatures and public key cryptosystems
    • R. L. Rivest, A. Shamir, and L. Adleman. A method for obtaining digital signatures and public key cryptosystems. Communications of the ACM, 21:120-126, 1978.
    • (1978) Communications of the ACM , vol.21 , pp. 120-126
    • Rivest, R.L.1    Shamir, A.2    Adleman, L.3
  • 13
    • 0023532388 scopus 로고
    • A hierarchy of polynomial time lattice basis reduction algorithms
    • C.R Schnorr. A hierarchy of polynomial time lattice basis reduction algorithms. Theoretical Computer Science, 53:201-224, 1987.
    • (1987) Theoretical Computer Science , vol.53 , pp. 201-224
    • Schnorr, C.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.