Edit Profile (opens in new tab) Scott, Michael J. Co-Author Distance Author ID: scott.michael-j Published as: Scott, Michael J. Documents Indexed: 48 Publications since 1930, including 1 Book and 2 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 2 Co-Authors with 3 Joint Publications 41 Co-Co-Authors all top 5 Co-Authors 12 single-authored 7 Barreto, Paulo S. L. M. 4 Galbraith, Steven D. 4 Lynn, Ben 3 Benger, Naomi 3 Dominguez Perez, Luis J. 3 Kachisa, Ezekiel J. 2 Charlemagne, Manuel 2 Ghassemi, Afshin 2 Granger, Robert A. 2 Lin, Xibin 2 Ó hÉigeartaigh, Colm 2 Scott, Alexander D. 2 Whelan, Claire 1 Allen, Richard C. jun. 1 Bearon, Rachel N. 1 Chen, Renjie 1 Chevallier-Mames, Benoît 1 Childs, Bart 1 Coron, Jean-Sébastien 1 Dahab, Ricardo 1 Daniel, James W. 1 Denman, E. 1 Devegili, Augusto Jun 1 Fordy, Allan P. 1 Guillevic, Aurore 1 Hankerson, Darrel R. 1 Marnane, William P. 1 McCullagh, Noel 1 Menezes, Alfred J. 1 Naccache, David 1 Neggers, Joseph 1 Page, Dan 1 Romani, Lucia 1 Schaefer, Edward F. 1 Teske, Edlyn 1 Ulmer, M. B. jun. 1 Vercauteren, Frederik 1 Wing, George Milton 1 Żychaluk, Kamila all top 5 Serials 3 Journal of Cryptology 2 Designs, Codes and Cryptography 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Automatica 1 Bulletin of the Calcutta Mathematical Society 1 IEEE Transactions on Computers 1 Theory and Decision 1 Utilitas Mathematica 1 Computer Aided Geometric Design 1 Zeitschrift für Operations Research. Serie A: Theorie 1 Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Mathematical Medicine and Biology 1 Unternehmensforschung 1 Lecture Notes in Computer Science 1 Cryptography and Communications all top 5 Fields 31 Information and communication theory, circuits (94-XX) 16 Number theory (11-XX) 15 Algebraic geometry (14-XX) 4 Computer science (68-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Publications by Year Citations contained in zbMATH Open 35 Publications have been cited 3 times in 3 Documents Cited by ▼ Year ▼ A taxonomy of pairing-friendly elliptic curves. Zbl 1181.94094 Freeman, David; Scott, Michael; Teske, Edlyn 114 2010 Efficient algorithms for pairing-based cryptosystems. Zbl 1026.94520 Barreto, Paulo S. L. M.; Kim, Hae Y.; Lynn, Ben; Scott, Michael 91 2002 Efficient pairing computation on supersingular abelian varieties. Zbl 1142.14307 Barreto, Paulo S. L. M.; Galbraith, Steven D.; Ó hÉigeartaigh, Colm; Scott, Michael 60 2007 Constructing elliptic curves with prescribed embedding degrees. Zbl 1022.94008 Barreto, Paulo S. L. M.; Lynn, Ben; Scott, Michael 50 2003 Constructing Brezing-Weng pairing-friendly elliptic curves using elements in the cyclotomic field. Zbl 1186.94451 Kachisa, Ezekiel J.; Schaefer, Edward F.; Scott, Michael 40 2008 Endomorphisms for faster elliptic curve cryptography on a large class of curves. Zbl 1258.94036 Galbraith, Steven D.; Lin, Xibin; Scott, Michael 26 2011 On the selection of pairing-friendly groups. Zbl 1081.94016 Barreto, Paulo S. L. M.; Lynn, Ben; Scott, Michael 25 2004 Endomorphisms for faster elliptic curve cryptography on a large class of curves. Zbl 1239.94048 Galbraith, Steven D.; Lin, Xibin; Scott, Michael 21 2009 On the final exponentiation for calculating pairings on ordinary elliptic curves. Zbl 1248.94093 Scott, Michael; Benger, Naomi; Charlemagne, Manuel; Dominguez Perez, Luis J.; Kachisa, Ezekiel J. 18 2009 Implementing cryptographic pairings over Barreto-Naehrig curves. Zbl 1151.94503 Devegili, Augusto Jun; Scott, Michael; Dahab, Ricardo 18 2007 Efficient implementation of pairing-based cryptosystems. Zbl 1123.94334 Barreto, Paulo S. L. M.; Lynn, Ben; Scott, Michael 17 2004 Faster squaring in the cyclotomic subgroup of sixth degree extensions. Zbl 1279.94079 Granger, Robert; Scott, Michael 17 2010 Generating more MNT elliptic curves. Zbl 1172.14309 Scott, Michael; Barreto, Paulo S. L. M. 16 2006 Computing the Tate pairing. Zbl 1079.94572 Scott, Michael 15 2005 Exponentiation in pairing-friendly groups using homomorphisms. Zbl 1186.94441 Galbraith, Steven D.; Scott, Michael 15 2008 Codes for boundary-value problems in ordinary differential equations. Proceedings of a working conference, May 14-17, 1978. Zbl 0416.00006 13 1979 Compressed pairings. Zbl 1104.94036 Scott, Michael; Barreto, Paulo S. L. M. 13 2004 Software implementation of pairings. Zbl 1159.68439 Hankerson, Darrel; Menezes, Alfred; Scott, Michael 11 2009 Secure delegation of elliptic-curve pairing. Zbl 1391.94738 Chevallier-Mames, Benoît; Coron, Jean-Sébastien; McCullagh, Noel; Naccache, David; Scott, Michael 11 2010 Implementing cryptographic pairings. Zbl 1148.94432 Scott, Michael 11 2007 On the efficient implementation of pairing-based protocols. Zbl 1292.68057 Scott, Michael 10 2011 Fast hashing to \(G _{2}\) on pairing-friendly curves. Zbl 1248.94094 Scott, Michael; Benger, Naomi; Charlemagne, Manuel; Dominguez Perez, Luis J.; Kachisa, Ezekiel J. 9 2009 Constructing tower extensions of finite fields for implementation of pairing-based cryptography. Zbl 1245.11122 Benger, Naomi; Scott, Michael 9 2010 Faster pairings using an elliptic curve with an efficient endomorphism. Zbl 1153.94429 Scott, Michael 7 2005 The importance of the final exponentiation in pairings when considering fault attacks. Zbl 1151.94582 Whelan, Claire; Scott, Michael 6 2007 Solution of a certain class of nonlinear two-point boundary value problems. Zbl 0202.16001 Allen, R. C. jun.; Wing, G. M.; Scott, M. 5 1969 Faster ECC over \(\mathbb {F}_{2^{521}-1}\). Zbl 1345.94066 Granger, Robert; Scott, Michael 4 2015 A new family of pairing-friendly elliptic curves. Zbl 1446.11121 Scott, Michael; Guillevic, Aurore 3 2018 Time/fuel optimal control of constrained linear discrete systems. Zbl 0602.93047 Scott, M. 3 1986 Recursive procedures for Krall-Sheffer operators. Zbl 1302.42037 Fordy, Allan P.; Scott, Michael J. 3 2013 Pairing calculation on supersingular genus 2 curves. Zbl 1161.94423 Ó hÉigeartaigh, Colm; Scott, Michael 2 2007 Missing a trick: Karatsuba variations. Zbl 1384.94101 Scott, Michael 1 2018 A note on the implementation of the number theoretic transform. Zbl 1397.94097 Scott, Michael 1 2017 What’s in the two envelope paradox? Zbl 0943.91507 Scott, Alexander D.; Scott, Michael 1 1997 A mathematical framework for modelling 3D cell motility: applications to glioblastoma cell migration. Zbl 1472.92064 Scott, M.; Żychaluk, K.; Bearon, R. N. 1 2021 A mathematical framework for modelling 3D cell motility: applications to glioblastoma cell migration. Zbl 1472.92064 Scott, M.; Żychaluk, K.; Bearon, R. N. 1 2021 A new family of pairing-friendly elliptic curves. Zbl 1446.11121 Scott, Michael; Guillevic, Aurore 3 2018 Missing a trick: Karatsuba variations. Zbl 1384.94101 Scott, Michael 1 2018 A note on the implementation of the number theoretic transform. Zbl 1397.94097 Scott, Michael 1 2017 Faster ECC over \(\mathbb {F}_{2^{521}-1}\). Zbl 1345.94066 Granger, Robert; Scott, Michael 4 2015 Recursive procedures for Krall-Sheffer operators. Zbl 1302.42037 Fordy, Allan P.; Scott, Michael J. 3 2013 Endomorphisms for faster elliptic curve cryptography on a large class of curves. Zbl 1258.94036 Galbraith, Steven D.; Lin, Xibin; Scott, Michael 26 2011 On the efficient implementation of pairing-based protocols. Zbl 1292.68057 Scott, Michael 10 2011 A taxonomy of pairing-friendly elliptic curves. Zbl 1181.94094 Freeman, David; Scott, Michael; Teske, Edlyn 114 2010 Faster squaring in the cyclotomic subgroup of sixth degree extensions. Zbl 1279.94079 Granger, Robert; Scott, Michael 17 2010 Secure delegation of elliptic-curve pairing. Zbl 1391.94738 Chevallier-Mames, Benoît; Coron, Jean-Sébastien; McCullagh, Noel; Naccache, David; Scott, Michael 11 2010 Constructing tower extensions of finite fields for implementation of pairing-based cryptography. Zbl 1245.11122 Benger, Naomi; Scott, Michael 9 2010 Endomorphisms for faster elliptic curve cryptography on a large class of curves. Zbl 1239.94048 Galbraith, Steven D.; Lin, Xibin; Scott, Michael 21 2009 On the final exponentiation for calculating pairings on ordinary elliptic curves. Zbl 1248.94093 Scott, Michael; Benger, Naomi; Charlemagne, Manuel; Dominguez Perez, Luis J.; Kachisa, Ezekiel J. 18 2009 Software implementation of pairings. Zbl 1159.68439 Hankerson, Darrel; Menezes, Alfred; Scott, Michael 11 2009 Fast hashing to \(G _{2}\) on pairing-friendly curves. Zbl 1248.94094 Scott, Michael; Benger, Naomi; Charlemagne, Manuel; Dominguez Perez, Luis J.; Kachisa, Ezekiel J. 9 2009 Constructing Brezing-Weng pairing-friendly elliptic curves using elements in the cyclotomic field. Zbl 1186.94451 Kachisa, Ezekiel J.; Schaefer, Edward F.; Scott, Michael 40 2008 Exponentiation in pairing-friendly groups using homomorphisms. Zbl 1186.94441 Galbraith, Steven D.; Scott, Michael 15 2008 Efficient pairing computation on supersingular abelian varieties. Zbl 1142.14307 Barreto, Paulo S. L. M.; Galbraith, Steven D.; Ó hÉigeartaigh, Colm; Scott, Michael 60 2007 Implementing cryptographic pairings over Barreto-Naehrig curves. Zbl 1151.94503 Devegili, Augusto Jun; Scott, Michael; Dahab, Ricardo 18 2007 Implementing cryptographic pairings. Zbl 1148.94432 Scott, Michael 11 2007 The importance of the final exponentiation in pairings when considering fault attacks. Zbl 1151.94582 Whelan, Claire; Scott, Michael 6 2007 Pairing calculation on supersingular genus 2 curves. Zbl 1161.94423 Ó hÉigeartaigh, Colm; Scott, Michael 2 2007 Generating more MNT elliptic curves. Zbl 1172.14309 Scott, Michael; Barreto, Paulo S. L. M. 16 2006 Computing the Tate pairing. Zbl 1079.94572 Scott, Michael 15 2005 Faster pairings using an elliptic curve with an efficient endomorphism. Zbl 1153.94429 Scott, Michael 7 2005 On the selection of pairing-friendly groups. Zbl 1081.94016 Barreto, Paulo S. L. M.; Lynn, Ben; Scott, Michael 25 2004 Efficient implementation of pairing-based cryptosystems. Zbl 1123.94334 Barreto, Paulo S. L. M.; Lynn, Ben; Scott, Michael 17 2004 Compressed pairings. Zbl 1104.94036 Scott, Michael; Barreto, Paulo S. L. M. 13 2004 Constructing elliptic curves with prescribed embedding degrees. Zbl 1022.94008 Barreto, Paulo S. L. M.; Lynn, Ben; Scott, Michael 50 2003 Efficient algorithms for pairing-based cryptosystems. Zbl 1026.94520 Barreto, Paulo S. L. M.; Kim, Hae Y.; Lynn, Ben; Scott, Michael 91 2002 What’s in the two envelope paradox? Zbl 0943.91507 Scott, Alexander D.; Scott, Michael 1 1997 Time/fuel optimal control of constrained linear discrete systems. Zbl 0602.93047 Scott, M. 3 1986 Codes for boundary-value problems in ordinary differential equations. Proceedings of a working conference, May 14-17, 1978. Zbl 0416.00006 13 1979 Solution of a certain class of nonlinear two-point boundary value problems. Zbl 0202.16001 Allen, R. C. jun.; Wing, G. M.; Scott, M. 5 1969 Cited by 2 Authors 3 Fordy, Allan P. 1 Huang, Qing Cited in 3 Serials 1 Journal of Geometry and Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Physics A: Mathematical and Theoretical Cited in 4 Fields 3 Dynamical systems and ergodic theory (37-XX) 2 Nonassociative rings and algebras (17-XX) 2 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Citations by Year