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Volumn 1423, Issue , 1998, Pages 514-527

An algorithm for approximate counting of points on algebraic sets over finite fields

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Indexed keywords

POLYNOMIAL APPROXIMATION;

EID: 33947640477     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/bfb0054889     Document Type: Conference Paper
Times cited : (7)

References (17)
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    • Primality testing and two dimensional Abelian varieties over finite fields
    • Springer-Verlag
    • Leonard M. Adleman and Ming-Deh Huang, Primality testing and two dimensional Abelian varieties over finite fields, Lecture Notes in Mathematics, vol. 1512, Springer-Verlag, 1992.
    • (1992) Lecture Notes in Mathematics , vol.1512
    • Adleman, L.M.1    Huang, M.-D.2
  • 8
    • 0039412196 scopus 로고
    • The complexity of quantifier elimination in the theory of an algebraically closed field
    • Department of Computer Science, Cornell University, Ithaca, New York 14853-7501, also available as Technical Report no. TR 89-1030 of Computer Science Department, Cornell University
    • Douglas John Ierardi, The complexity of quantifier elimination in the theory of an algebraically closed field, Ph.D. thesis, Department of Computer Science, Cornell University, Ithaca, New York 14853-7501, 1989, also available as Technical Report no. TR 89-1030 of Computer Science Department, Cornell University.
    • (1989) Ph.D. thesis
    • Ierardi, D.J.1
  • 9
    • 0029291305 scopus 로고
    • Effective Noether irreducibility forms and applications
    • Erich Kaltofen, Effective Noether irreducibility forms and applications, Journal of Computer and System Sciences, 50 (1995), no. 2, 274-295.
    • (1995) Journal of Computer and System Sciences , vol.50 , Issue.2 , pp. 274-295
    • Kaltofen, E.1
  • 10
    • 33745486292 scopus 로고
    • Approximating the number of zeroes of a GF[2] polynomial
    • Marek Kaxpinski and Michael Luby, Approximating the number of zeroes of a GF[2] polynomial, Journal of Algorithms, 14 (1993), 280-287.
    • (1993) Journal of Algorithms , vol.14 , pp. 280-287
    • Kaxpinski, M.1    Luby, M.2
  • 11
    • 0001595686 scopus 로고
    • The number of points on a singular curve over a finite field
    • David B. Leep and Charles C. Yeomans, The number of points on a singular curve over a finite field, Arch. Math., 63 (1994), 420-426.
    • (1994) Arch. Math. , vol.63 , pp. 420-426
    • Leep, D.B.1    Yeomans, C.C.2
  • 13
    • 0000237109 scopus 로고
    • A lower bound for the number of solutions of equations over finite fields
    • Wolfgang M. Schmidt, A lower bound for the number of solutions of equations over finite fields, Journal of Number Theory, 6 (1974), 448-480.
    • (1974) Journal of Number Theory , vol.6 , pp. 448-480
    • Schmidt, W.M.1
  • 14
    • 33646930046 scopus 로고
    • Reduction of algebraic varieties with respect to a discrete valuation of the basic field
    • Goro Shimura, Reduction of algebraic varieties with respect to a discrete valuation of the basic field, American Journal of Mathematics, 77 (1955), 134-176.
    • (1955) American Journal of Mathematics , vol.77 , pp. 134-176
    • Shimura, G.1
  • 15
    • 0003321115 scopus 로고
    • Introduction to coding theory and algebraic geometry
    • Band 12, Birkhauser Verlag
    • Jacobus H. van Lint and Gerard van der Geer, Introduction to coding theory and algebraic geometry, DMV Seminar, no. Band 12, Birkhauser Verlag, 1988.
    • (1988) DMV Seminar
    • van Lint, J.H.1    van der Geer, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.