Scalar Multiplication on Koblitz Curves Using the Frobenius Endomorphism and its Combination with Point Halving: Extensions and Mathematical Analysis

Roberto Avanzi; Clemens Heuberger; Helmut Prodinger

doi:10.1007/s00453-006-0105-9

Scalar Multiplication on Koblitz Curves Using the Frobenius Endomorphism and its Combination with Point Halving: Extensions and Mathematical Analysis

Roberto Avanzi, Clemens Heuberger, Helmut Prodinger

Research output: Contribution to journal › Article › peer-review

Original language	English
Pages (from-to)	249-270
Journal	Algorithmica
Volume	46
DOIs	https://doi.org/10.1007/s00453-006-0105-9
Publication status	Published - 2006

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Basic - Fundamental (Grundlagenforschung)
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Application
Theoretical

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10.1007/s00453-006-0105-9

Analytic Combinatorics: Analytic Combinatorics and Probabilistic Number Theory
Wagner, S., Madritsch, M., Aistleitner, C., Barat, G., Thuswaldner, J., Grabner, P., Van De Woestijne, C. E., Heuberger, C., Brauchart, J., Berkes, I., Filipin, A., Zeiner, M. & Tichy, R.
1/01/06 → 31/07/12
Project: Research project
Number-Theoretic Algorithms and their Applications (FSP)
Grabner, P., Albrecher, H., Fuchs, C. J., Tichy, R., Predota, M., Stoll, T., Heuberger, C., Koch, W., Frisch, S., Hartinger, J., Ziegler, V., Lamberger, M. & Kainhofer, R.
1/01/00 → 31/12/05
Project: Research project
Asymptotic and Probabilistic Analysis of Algorithms
Haug, N. S. & Heuberger, C.
1/01/99 → 31/01/15
Project: Research area

Cite this

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title = "Scalar Multiplication on Koblitz Curves Using the Frobenius Endomorphism and its Combination with Point Halving: Extensions and Mathematical Analysis",

author = "Roberto Avanzi and Clemens Heuberger and Helmut Prodinger",

year = "2006",

doi = "10.1007/s00453-006-0105-9",

language = "English",

volume = "46",

pages = "249--270",

journal = "Algorithmica",

issn = "1432-0541 ",

publisher = "Springer New York",

}

TY - JOUR

T1 - Scalar Multiplication on Koblitz Curves Using the Frobenius Endomorphism and its Combination with Point Halving: Extensions and Mathematical Analysis

AU - Avanzi, Roberto

AU - Heuberger, Clemens

AU - Prodinger, Helmut

PY - 2006

Y1 - 2006

U2 - 10.1007/s00453-006-0105-9

DO - 10.1007/s00453-006-0105-9

M3 - Article

SN - 1432-0541

VL - 46

SP - 249

EP - 270

JO - Algorithmica

JF - Algorithmica

ER -

Scalar Multiplication on Koblitz Curves Using the Frobenius Endomorphism and its Combination with Point Halving: Extensions and Mathematical Analysis

Treatment code (Nähere Zuordnung)

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Projects

Analytic Combinatorics: Analytic Combinatorics and Probabilistic Number Theory

Number-Theoretic Algorithms and their Applications (FSP)

Asymptotic and Probabilistic Analysis of Algorithms

Cite this