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Volumn 5, Issue 4, 1999, Pages 364-377

Curves with many points and multiplication complexity in any extension of F q

Author keywords

Bilinear complexity; finite fields; algebraic function fields; algebraic curves.

Indexed keywords


EID: 0033210526     PISSN: 10715797     EISSN: None     Source Type: Journal    
DOI: 10.1006/ffta.1999.0255     Document Type: Article
Times cited : (43)

References (14)
  • 3
    • 38249029470 scopus 로고
    • Algebraic complexities and algebraic curves over finite fields
    • Chudnovsky D. V., Chudnovsky G. V. Algebraic complexities and algebraic curves over finite fields. J. Complexity. 4:1988;285-316.
    • (1988) J. Complexity , vol.4 , pp. 285-316
    • Chudnovsky, D.V.1    Chudnovsky, G.V.2
  • 6
    • 0039021353 scopus 로고    scopus 로고
    • The genus of curves over finite fields with many rational points
    • Fuhrmann R., Torres F. The genus of curves over finite fields with many rational points. Manuscripta Math. 89:1996;103-106.
    • (1996) Manuscripta Math. , vol.89 , pp. 103-106
    • Fuhrmann, R.1    Torres, F.2
  • 7
    • 0003092390 scopus 로고
    • A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound
    • Garcia A., Stichtenoth H. A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound. Invent. Math. 121:1995;211-222.
    • (1995) Invent. Math. , vol.121 , pp. 211-222
    • Garcia, A.1    Stichtenoth, H.2
  • 9
    • 0009036730 scopus 로고
    • On the complexity of multiplication in finite fields
    • Lempel A., Seroussi G., Winograd S. On the complexity of multiplication in finite fields. Theoret. Comput. Sci. 22:1983;285-296.
    • (1983) Theoret. Comput. Sci. , vol.22 , pp. 285-296
    • Lempel, A.1    Seroussi, G.2    Winograd, S.3
  • 10
    • 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. Comput. 21:1992;1193-1198.
    • (1992) SIAM J. Comput. , vol.21 , pp. 1193-1198
    • Shokrollahi, M.A.1
  • 13
  • 14
    • 0001490370 scopus 로고
    • On multiplication in algebraic extension fields
    • Winograd S. On multiplication in algebraic extension fields. Theoret. Comput. Sci. 8:1979;359-377.
    • (1979) Theoret. Comput. Sci. , vol.8 , pp. 359-377
    • Winograd, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.