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Volumn 15, Issue 3-4, 2004, Pages 205-211

On the bounds of the bilinear complexity of multiplication in some finite fields

Author keywords

Algebraic Curves; Algebraic Functions Fields; Bilinear Complexity; Finite Fields

Indexed keywords

FUNCTIONS; SET THEORY; TENSORS; THEOREM PROVING; VECTORS;

EID: 10644239280     PISSN: 09381279     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00200-004-0155-7     Document Type: Article
Times cited : (11)

References (11)
  • 4
    • 1642437958 scopus 로고    scopus 로고
    • Multiplication algorithm in a finite field and tensor rank of the multiplication
    • Ballet, S., Rolland, R.: Multiplication Algorithm in a Finite Field and Tensor Rank of the Multiplication. J. Alg. 272(1), 173-185 (2004)
    • (2004) J. Alg. , vol.272 , Issue.1 , pp. 173-185
    • Ballet, S.1    Rolland, R.2
  • 5
    • 0009616563 scopus 로고
    • Characterization of division algebras of minimal rank and the structure of their algorithm varieties
    • De Groote, H.F.: Characterization of Division Algebras of Minimal Rank and the Structure of their Algorithm Varieties. SIAM J. Comp. 12(1), 101-117 (1983)
    • (1983) SIAM J. Comp. , vol.12 , Issue.1 , pp. 101-117
    • De Groote, H.F.1
  • 8
    • 0001608539 scopus 로고
    • Optimal algorithms for multiplication in certain finite fields using algebraic curves
    • Shokrollahi, M.A.: Optimal Algorithms for Multiplication in Certain Finite Fields using Algebraic Curves. SIAM J. Comp. 21(6), 1193-1198 (1992)
    • (1992) SIAM J. Comp. , vol.21 , Issue.6 , pp. 1193-1198
    • Shokrollahi, M.A.1
  • 9
    • 0142167280 scopus 로고
    • Curves with many points and multiplication in finite fields
    • Springer-Verlag, Berlin
    • Shparlinski, I.E., Tsfasman, M.A., Vladut, S.G.: Curves with Many Points and Multiplication in Finite Fields. Lectures Notes in Mathematics, 1518, Springer-Verlag, Berlin, 145-169 (1992)
    • (1992) Lectures Notes in Mathematics , vol.1518 , pp. 145-169
    • Shparlinski, I.E.1    Tsfasman, M.A.2    Vladut, S.G.3
  • 10
    • 0006104763 scopus 로고
    • Algebraic function fields and codes
    • Springer-Verlag, Berlin, Heidelberg, New York
    • Stichtenoth, H.: Algebraic Function Fields and Codes. Lectures Notes in Mathematics 314, Springer-Verlag, Berlin, Heidelberg, New York, (1993)
    • (1993) Lectures Notes in Mathematics , vol.314
    • Stichtenoth, H.1
  • 11
    • 0001490370 scopus 로고
    • On multiplication in algebraic extension fields
    • Winograd, S.: On Multiplication in Algebraic Extension Fields. Theor. Comput. Sci. 8, 359-377 (1979)
    • (1979) Theor. Comput. Sci. , vol.8 , pp. 359-377
    • Winograd, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.