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Volumn 157, Issue 2, 1996, Pages 259-266

On some approximation problems concerning sparse polynomials over finite fields

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; ESTIMATION; FINITE AUTOMATA; IMAGE PROCESSING; MONTE CARLO METHODS; PROBABILITY;

EID: 0030570123     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/0304-3975(95)00162-X     Document Type: Article
Times cited : (19)

References (16)
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    • M. Clausen, A. Dress, J. Grabmeier and M. Karpinski, On zero-testing and interpolation of k-sparse multivariate polynomials over finite fields, SIAM J. Comput. 19 (1990) 1059-1063.
    • (1990) SIAM J. Comput. , vol.19 , pp. 1059-1063
    • Clausen, M.1    Dress, A.2    Grabmeier, J.3    Karpinski, M.4
  • 4
    • 0026373088 scopus 로고
    • An approximation algorithm for the number of zeros of arbitrary polynomials over GF(q)
    • D. Grigoriev and M. Karpinski, An approximation algorithm for the number of zeros of arbitrary polynomials over GF(q), Proc. 32nd Ann. Symp. on Found. of Comp. Sci. (1991) 662-669.
    • (1991) Proc. 32nd Ann. Symp. on Found. of Comp. Sci. , pp. 662-669
    • Grigoriev, D.1    Karpinski, M.2
  • 5
    • 0025694134 scopus 로고
    • Fast parallel algorithm for sparse multivariate polynomials over finite fields
    • D. Grigoriev, M. Karpinski and M. Singer, Fast parallel algorithm for sparse multivariate polynomials over finite fields, SIAM J. Comput. 19 (1990) 1059-1063.
    • (1990) SIAM J. Comput. , vol.19 , pp. 1059-1063
    • Grigoriev, D.1    Karpinski, M.2    Singer, M.3
  • 6
    • 0001202403 scopus 로고
    • Monte-Carlo approximation algorithms for enumeration problems
    • R. Karp, M. Luby and N. Madras, Monte-Carlo approximation algorithms for enumeration problems, J. of Algorithms 10 (1989) 429-448.
    • (1989) J. of Algorithms , vol.10 , pp. 429-448
    • Karp, R.1    Luby, M.2    Madras, N.3
  • 7
    • 0347334884 scopus 로고
    • Boolean circuit complexity of algebraic interpolation problems
    • Spinger, Berlin
    • M. Karpinski, Boolean circuit complexity of algebraic interpolation problems, in: Lecture Notes in Computer Science, Vol. 385 (Spinger, Berlin, 1989) 138-147.
    • (1989) Lecture Notes in Computer Science , vol.385 , pp. 138-147
    • Karpinski, M.1
  • 9
    • 33745486292 scopus 로고
    • Approximating the number of zeros for a GF(2) polynomial
    • M. Karpinski and M. Luby, Approximating the number of zeros for a GF(2) polynomial, J. Algorithms 14 (1993) 280-287.
    • (1993) J. Algorithms , vol.14 , pp. 280-287
    • Karpinski, M.1    Luby, M.2
  • 10
    • 0043201646 scopus 로고
    • On the distribution of primitive roots in finite fields
    • in Russian
    • G.I. Perelmuter and I.E. Shparlinski, On the distribution of primitive roots in finite fields, Uspechi Matem. Nauk 45 (1) (1990) 185-186 (in Russian).
    • (1990) Uspechi Matem. Nauk , vol.45 , Issue.1 , pp. 185-186
    • Perelmuter, G.I.1    Shparlinski, I.E.2
  • 11
    • 84966245630 scopus 로고
    • New algorithms for finding irreducible polynomials over finite fields
    • V. Shoup, New algorithms for finding irreducible polynomials over finite fields, Math. Comp. 54 (1990) 435-447.
    • (1990) Math. Comp. , vol.54 , pp. 435-447
    • Shoup, V.1
  • 12
    • 84968515930 scopus 로고
    • Searching for primitive roots in finite fields
    • V. Shoup, Searching for primitive roots in finite fields, Math. Comp. 58 (1992) 369-380.
    • (1992) Math. Comp. , vol.58 , pp. 369-380
    • Shoup, V.1
  • 13
    • 38149147073 scopus 로고
    • Fast construction of irreducible polynomials over finite fields
    • V. Shoup, Fast construction of irreducible polynomials over finite fields, J. Symbolic. Comput. 17 (1994) 371-391.
    • (1994) J. Symbolic. Comput. , vol.17 , pp. 371-391
    • Shoup, V.1
  • 14
    • 0039467216 scopus 로고
    • On primitive elements in finite fields and on elliptic curves
    • in Russian
    • I. Shparlinski, On primitive elements in finite fields and on elliptic curves, Matem. Sbornik 181 (9) (1990) 1196-1206 (in Russian).
    • (1990) Matem. Sbornik , vol.181 , Issue.9 , pp. 1196-1206
    • Shparlinski, I.1
  • 16
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    • The computational complexity of interpolationg sparse multivariate polynomials over finite fields
    • K. Werther, The computational complexity of interpolationg sparse multivariate polynomials over finite fields, Appl. Algebra in Eng. Commun. and Comput. Appl. Algebra 5 (1994) 91-103.
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    • Werther, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.