"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",2009,Apr. "²“¡F˜a","’´‘ȉ~ˆÃ†‚É“K‚µ‚½‚ ‚éŽí‚ÌŽí”2‚Ì’´‘ȉ~‹Èü‚̶¬–@","2009”NˆÃ†‚Æî•ñƒZƒLƒ…ƒŠƒeƒB[ƒVƒ“ƒ|ƒWƒEƒ€","ˆÃ†‚Æî•ñƒZƒLƒ…ƒŠƒeƒB[ƒVƒ“ƒ|ƒWƒEƒ€—\eWCD-ROM",,,," 4C1-2",2009,Jan. "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",2008,Dec. "Nobushige Kurokawa,Takakazu Satoh","Euclid prime sequences over unique factorization domains",,"Exp. Math.","A. K. Peters, Ltd.","Vol. 17","No. 2","pp. 145-152",2008,July "Takakazu Satoh","Closed formulae for the Weil pairing inversion",,"Finite Fields and Their Appl.","Elsevier","Vol. 14",,"pp. 743-765",2008,July "Takakazu Satoh","On Pairing inversion problems","Pairing conference, 2007","Lect. Notes. Comput. Sci., Springer",,"Vol. 4575",,"pp. 317-328",2007,July "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",2006,July "Takakazu Satoh","On polynomial interpolations related to Verheul homomorphisms",,"London Math. Soc. J. Comput. Math.",,"Vol. 9",,"pp. 135-158",2006, "T. Satoh","Pairings, Discrete Logarithm Problems and Cryptography","7th Asian Symposium on Computer Mathematics","Porc. 7th Asian Symposium on Computer Mathematics",,,,"pp. 76-78",2005,Dec. "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",2005,Mar. "Takakazu Satoh","Generalized division polynomials",,"Math. Scand.",,"Vol. 94",,"pp. 161-184",2004, "“dŽqî•ñ’ÊMŠw‰ï•ÒiŽ·•MˆÏˆõF¡ˆäGŽ÷,‘¼61–¼j,²“¡F˜a","î•ñƒZƒLƒ…ƒŠƒeƒB[ƒnƒ“ƒhƒuƒbƒNiŽ·•M•”•ªF®”˜_E‘㔌nE‘ȉ~‹Èüj",,"ƒI[ƒ€ŽÐ","ƒI[ƒ€ŽÐ",,,"pp. 518-530",2004, "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, "²“¡F˜a","—LŒÀ‘Ìã‚̑ȉ~‹Èü‚̈ʔŒvŽZƒAƒ‹ƒSƒŠƒYƒ€",,"“ú–{‰ž—p”—Šw‰ï˜_•¶Ž",,"Vol. 13","No. 2","pp. 273-288",2003, "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","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, "Y. Uchino,T. Satoh","Function field modular forms and higher derivations",,"Math. Ann.",,"Vol. 311",,"pp. 439-466",1998, "Takakazu Satoh","Overview of elliptic curve cryptography",,"Proc. PKC98/Lect. Notes in Comput. Sci.",,"Vol. 1431",,"pp. 29-49",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, "²“¡F˜a","ƒW[ƒQƒ‹•ÛŒ^Œ`Ž®‚Æ”÷•ª‰‰ŽZŽq",,,,,,,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,