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Volumn , Issue , 2010, Pages 89-97

Parallel Gaussian elimination for Gröbner bases computations in finite fields

Author keywords

Cryptography; Gaussian elimination; Gr bner bases; High performance linear Algebra; Multi core programming; Polynomial systems solving

Indexed keywords

COMPUTATIONAL RESULTS; COMPUTER ALGEBRA; CRYPTOLOGY; EFFICIENT ALGORITHM; FINITE FIELDS; GAUSSIAN ELIMINATION; HIGH PERFORMANCE LINEAR ALGEBRA; INTERNAL REPRESENTATION; LINEAR ALGEBRA PACKAGE; MEDIUM SIZE; MULTI CORE; POLYNOMIAL SYSTEM SOLVING; POLYNOMIAL SYSTEMS SOLVING; RECTANGULAR BLOCK;

EID: 77956261219     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1837210.1837225     Document Type: Conference Paper
Times cited : (24)

References (13)
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    • (German)
    • B. Buchberger. An Algorithmical Criterion for the Solvability of Algebraic Systems. Aequationes Mathematicae, 4(3):374-383, 1970. (German).
    • (1970) Aequationes Mathematicae , vol.4 , Issue.3 , pp. 374-383
    • Buchberger, B.1
  • 5
    • 56349134473 scopus 로고    scopus 로고
    • Dense linear algebra over word-size prime fields: The FFLAS and FFPACK packages
    • J.-G. Dumas, P. Giorgi, and C. Pernet. Dense Linear Algebra over Word-Size Prime Fields: the FFLAS and FFPACK Packages. ACM Trans. Math. Softw., 35(3):1-42, 2008.
    • (2008) ACM Trans. Math. Softw. , vol.35 , Issue.3 , pp. 1-42
    • Dumas, J.-G.1    Giorgi, P.2    Pernet, C.3
  • 10
    • 6244256110 scopus 로고
    • Theory of spin glass by the method of the distribution function of an effective field
    • K. Katsura. Theory of spin glass by the method of the distribution function of an effective field. Progress of Theoretical Physics, 87:139-154, 1986. Supplement.
    • (1986) Progress of Theoretical Physics , vol.87 , Issue.SUPPL. , pp. 139-154
    • Katsura, K.1
  • 12
    • 64249164652 scopus 로고    scopus 로고
    • (Version 3.3). The Sage Group
    • W. Stein et al. Sage Mathematics Software (Version 3.3). The Sage Group, 2009. http://www.sagemath.org.
    • (2009) Sage Mathematics Software
    • Stein, W.1
  • 13
    • 0343462141 scopus 로고    scopus 로고
    • Automated empirical optimization of software and the ATLAS project
    • Also available as University of Tennessee LAPACK Working Note #147, UT-CS-00-448
    • R. C. Whaley, A. Petitet, and J. J. Dongarra. Automated Empirical Optimization of Software and the ATLAS Project. Parallel Computing, 27(l-2):3-35, 2001. Also available as University of Tennessee LAPACK Working Note #147, UT-CS-00-448, 2000 (www.netlib.org/lapack/lawns/lawnl47.ps).
    • (2000) Parallel Computing , vol.27 , Issue.1-2 , pp. 3-35
    • Whaley, R.C.1    Petitet, A.2    Dongarra, J.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.