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佐藤孝和 研究業績一覧 (30件)
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論文
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Nobushige Kurokawa,
Takakazu Satoh.
Euclid prime sequences over unique factorization domains,
Exp. Math.,
A. K. Peters, Ltd.,
Vol. 17,
No. 2,
pp. 145-152,
July 2008.
-
Takakazu Satoh.
Closed formulae for the Weil pairing inversion,
Finite Fields and Their Appl.,
Elsevier,
Vol. 14,
pp. 743-765,
July 2008.
-
Takakazu Satoh.
On degree of polynomial interpolations related to elliptic curve cryptography,
Coding and cryptography, International workshop WCC2005, revised selected papers, Lect. Notes in Comput. Sci, Springer,
Vol. 3969,
pp. 155-163,
July 2006.
-
Takakazu Satoh.
On polynomial interpolations related to Verheul homomorphisms,
London Math. Soc. J. Comput. Math.,
Vol. 9,
pp. 135-158,
2006.
-
Takakazu Satoh.
Generalized division polynomials,
Math. Scand.,
Vol. 94,
pp. 161-184,
2004.
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T. Satoh,
B. Skjernaa,
Y. Taguchi.
Fast computation of canonical lifts of elliptic curves and its application to point counting,
Fintie Fields and their Appl.,
Vol. 9,
pp. 89-101,
2003.
-
T. Satoh,
Y. Taguchi.
Computing zeta functions for ordinary formal groups over finite fields,
Discrete Appl. Math.,
Vol. 130,
pp. 51-60,
2003.
-
Takakazu Satoh.
The canonical lift of ordinary elliptic curve over a finite field and its point counting,
J. Ramanujan Math. Soc.,
Vol. 15,
pp. 247-270,
2000.
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Y. Uchino,
T. Satoh.
Function field modular forms and higher derivations,
Math. Ann.,
Vol. 311,
pp. 439-466,
1998.
-
T. Satoh,
K. Araki.
Fermat quotients and the polynomial time discrete log algorithm for anomalous elliptic curves,
Commentarii Math. Univ. St. Pauli,
Vol. 47,
pp. 81-92,
1998.
-
Takakazu Satoh.
On duality over a certain divided power algebra with positive characteristic,
Manuscr. Math.,
Vol. 92,
pp. 153-172,
1997.
-
T. Satoh,
K.Araki.
On construction of signature scheme over a certain non-commutative ring,
IEICE trans. fund.,
Vol. E80-A,
pp. 40-45,
1997.
-
Takakazu Satoh.
Wiener measures on certain Banach spaces over non-Archimedean local fields,
Compositio Math.,
Vol. 93,
pp. 81-108,
1994.
-
S. Boecherer,
T. Satoh,
T. Yamazaki.
On the pullback of a differential operator and its application to vector valued Eisenstein series,
Commentarii Math. Univ. St. Pauli,
Vol. 41,
pp. 1-22,
1992.
-
Takakazu Satoh.
Jacobi forms and certain special values of Dirichlet series associated to modular forms,
Math. Ann.,
Vol. 285,
pp. 463-480,
1989.
-
Takakazu Satoh.
Some remarks on triple L functions,
Math. Ann.,
Vol. 276,
pp. 687-698,
1987.
-
Takakazu Satoh.
Differential operators and congruences for Siegel modular forms,
J. Math. Sco. Japan,
Vol. 38,
pp. 127-146,
1986.
-
Takakazu Satoh.
On certain vetor valued Siegel modular forms of degree two,
Math. Ann.,
Vol. 274,
pp. 335-352,
1986.
著書
国際会議発表 (査読有り)
-
Yoshinori Aono,
Manindra Agrawal,
Takakazu Satoh,
Osamu Watanabe.
On the optimality of lattices for the Coppersmith technique,
17th Australasian Conference on Information Security and Privacy (ACISP),
Lecture Notes in Computer Science,
Springer Berlin Heidelberg,
Vol. 7372,
pp. 376-389,
2012.
-
Takakazu Satoh.
Generating Genus Two Hyperelliptic Curves over Large Characteristic Finite Fields,
Eurocrypt 2009,
Lect. Notes in Comput. Sci,
Springer Verlag,
Vol. 5479,
pp. 536-553,
Apr. 2009.
-
GAETAN BISSON,
Takakazu Satoh.
More discriminants with the Berzing-Weng method,
Progress in cryptology - Indocrypt 2008,
Lect. Notes in Comput. Sci.,
Springer,
vol. 5365,
pp. 389-399,
Dec. 2008.
国際会議発表 (査読なし・不明)
-
Takakazu Satoh.
On Pairing inversion problems,
Pairing conference, 2007,
Lect. Notes. Comput. Sci., Springer,
Vol. 4575,
pp. 317-328,
July 2007.
-
T. Satoh.
Pairings, Discrete Logarithm Problems and Cryptography,
7th Asian Symposium on Computer Mathematics,
Porc. 7th Asian Symposium on Computer Mathematics,
pp. 76-78,
Dec. 2005.
-
Takakazu Satoh.
On Degrees of polynomial interpolations related to elliptic curve cryptography,
Workshop on coding and cryptography,
Proc. Workshop on Coding and Cryptography 2005,
pp. 55-61,
Mar. 2005.
-
Takakazu Satoh.
On p-adic point counting algorithms for elliptic curves over finite fields,
Proc. ANTS-5/Lect. Notes in Comput. Sci.,
Vol. 2369,
pp. 43-66,
2002.
-
Takakazu Satoh.
Overview of elliptic curve cryptography,
Proc. PKC98/Lect. Notes in Comput. Sci.,
Vol. 1431,
pp. 29-49,
1998.
国内会議発表 (査読なし・不明)
その他の論文・著書など
学位論文
-
ジーゲル保型形式と微分演算子,
本文,
Doctor of Science,
Tokyo Institute of Technology,
1989/--/--,
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