# zbMATH — the first resource for mathematics

## Yokoyama, Kazuhiro

Compute Distance To:
 Author ID: yokoyama.kazuhiro Published as: Yokoyama, K.; Yokoyama, Kazuhiro
 Documents Indexed: 58 Publications since 1987, including 1 Book
all top 5

#### Co-Authors

 9 single-authored 12 Noro, Masayuki 10 Anai, Hirokazu 10 Kogure, Jun 9 Shimoyama, Takeshi 6 Koshiba, Takeshi 6 Yasuda, Masaya 5 Hara, Shinji 5 Kanno, Masaaki 5 Takeshima, Taku 4 Izu, Tetsuya 4 Renault, Guénaël 4 Vaccon, Tristan 3 Yanami, Hitoshi 2 Ishihara, Yuki 2 Iwane, Hidenao 2 Orange, Sébastien 2 Verron, Thibaut 1 Dong, Chongying 1 Fujimoto, Mitsushi 1 Itoh, Kouichi 1 Kida, Masanari 1 Lam, Ching Hung 1 Li, Ziming 1 Nemes, István 1 Praeger, Cheryl Elisabeth 1 Saxl, Jan 1 Shirayanagi, Kiyoshi 1 Suzuki, Masakazu 1 Takenaka, Masahiko 1 Tanabe, Kenichiro 1 Tanaka, Hidema 1 Torii, Naoya 1 Yajima, Jun 1 Yamada, Hiromichi
all top 5

#### Serials

 9 Journal of Symbolic Computation 4 RIMS Kokyuroku 2 Mathematics in Computer Science 2 Journal of Mathematical Cryptology 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Journal of Combinatorial Theory. Series B 1 Journal of Pure and Applied Algebra 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Applicable Algebra in Engineering, Communication and Computing 1 International Journal of Number Theory 1 Lecture Notes Series on Computing 1 Journal of Math-for-Industry
all top 5

#### Fields

 27 Computer science (68-XX) 21 Commutative algebra (13-XX) 11 Field theory and polynomials (12-XX) 11 Information and communication theory, circuits (94-XX) 10 Number theory (11-XX) 7 Algebraic geometry (14-XX) 5 Numerical analysis (65-XX) 5 Systems theory; control (93-XX) 3 Combinatorics (05-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX)

#### Citations contained in zbMATH

39 Publications have been cited 258 times in 222 Documents Cited by Year
An effective implementation of symbolic-numeric cylindrical algebraic decomposition for quantifier elimination. Zbl 1291.68433
Iwane, Hidenao; Yanami, Hitoshi; Anai, Hirokazu; Yokoyama, Kazuhiro
2013
Localization and primary decomposition of polynomial ideals. Zbl 0874.13022
Shimoyama, Takeshi; Yokoyama, Kazuhiro
1996
Distance transitive graphs and finite simple groups. Zbl 0619.05026
Praeger, Cheryl E.; Saxl, Jan; Yokoyama, Kazuhiro
1987
$$\mathbb Z_3$$ symmetry and $$W_3$$ algebra in lattice vertex operator algebras. Zbl 1055.17013
Dong, Chongying; Lam, Ching Hung; Tanabe, Kenichiro; Yamada, Hiromichi; Yokoyama, Kazuhiro
2004
Solutions of systems of algebraic equations and linear maps on residue class rings. Zbl 0757.13013
Yokoyama, Kazuhiro; Noro, Masayuki; Takeshima, Taku
1992
A modular method to compute the rational univariate representation of zero-dimensional ideals. Zbl 0945.13010
Noro, Masayuki; Yokoyama, Kazuhiro
1999
An effective implementation of a symbolic-numeric cylindrical algebraic decomposition for quantifier elimination. Zbl 1356.68282
Iwane, Hidenao; Yanami, Hitoshi; Anai, Hirokazu; Yokoyama, Kazuhiro
2009
A modular method for computing the Galois groups of polynomials. Zbl 0887.11047
Yokoyama, K.
1997
A modular method for computing the splitting field of a polynomial. Zbl 1143.11372
Renault, Guénaël; Yokoyama, Kazuhiro
2006
Computation of the splitting fields and the Galois groups of polynomials. - Appendix. Zbl 0867.12006
Anai, H.; Noro, M.; Yokoyama, K.
1996
Computing primitive elements of extension fields. Zbl 0697.68054
Yokoyama, Kazuhiro; Noro, Masayuki; Takeshima, Taku
1989
Verification of Gröbner basis candidates. Zbl 1434.13029
Noro, Masayuki; Yokoyama, Kazuhiro
2014
Sum of roots with positive real parts. Zbl 1360.68912
Anai, Hirokazu; Hara, Shinji; Yokoyama, Kazuhiro
2005
Implementation of prime decomposition of polynomial ideals over small finite fields. Zbl 1137.13318
Noro, Masayuki; Yokoyama, Kazuhiro
2005
On systems of algebraic equations with parametric exponents. Zbl 1134.13309
Yokoyama, Kazuhiro
2004
Yet another practical implementation of polynomial factorization over finite fields. Zbl 1072.68690
Noro, Masayuki; Yokoyama, Kazuhiro
2002
Analysis of decreasing squared-sum of Gram-Schmidt lengths for short lattice vectors. Zbl 1391.65099
Yasuda, Masaya; Yokoyama, Kazuhiro; Shimoyama, Takeshi; Kogure, Jun; Koshiba, Takeshi
2017
Practical packing method in somewhat homomorphic encryption. Zbl 1391.94821
Yasuda, Masaya; Shimoyama, Takeshi; Kogure, Jun; Yokoyama, Kazuhiro; Koshiba, Takeshi
2015
Privacy-preserving wildcards pattern matching using symmetric somewhat homomorphic encryption. Zbl 1337.94085
Yasuda, Masaya; Shimoyama, Takeshi; Kogure, Jun; Yokoyama, Kazuhiro; Koshiba, Takeshi
2014
Quintic polynomials of Hashimoto-Tsunogai, Brumer and Kummer. Zbl 1204.12006
Kida, Masanari; Renault, Guénaël; Yokoyama, Kazuhiro
2009
Parametric polynomial spectral factorization using the sum of roots and its application to a control design problem. Zbl 1180.13036
Anai, Hirokazu; Hara, Shinji; Kanno, Masaaki; Yokoyama, Kazuhiro
2009
Usage of modular techniques for efficient computation of ideal operations. Zbl 1402.13026
Noro, Masayuki; Yokoyama, Kazuhiro
2018
Packed homomorphic encryption based on ideal lattices and its application to biometrics. Zbl 1391.94820
Yasuda, Masaya; Shimoyama, Takeshi; Kogure, Jun; Yokoyama, Kazuhiro; Koshiba, Takeshi
2013
Computation schemes for splitting fields of polynomials. Zbl 1237.68259
Orange, Sébastien; Renault, Guénaël; Yokoyama, Kazuhiro
2009
On systems of algebraic equations with parametric exponents. II. Zbl 1142.13309
Yokoyama, Kazuhiro
2007
On the relationship between the sum of roots with positive real parts and polynomial spectral factorization. Zbl 1137.65349
Kanno, Masaaki; Anai, Hirokazu; Yokoyama, Kazuhiro
2007
Stability of parametric decomposition. Zbl 1230.13029
Yokoyama, Kazuhiro
2006
On polynomial curves in the affine plane. Zbl 1105.14042
Fujimoto, Mitsushi; Suzuki, Masakazu; Yokoyama, Kazuhiro
2006
Finding roots of unity among quotients of the roots of an integral polynomial. Zbl 0924.11103
Yokoyama, Kazuhiro; Li, Ziming; Nemes, István
1995
Effective localization using double ideal quotient and its implementation. Zbl 1453.13012
Ishihara, Yuki; Yokoyama, Kazuhiro
2018
Secure statistical analysis using RLWE-based homomorphic encryption. Zbl 1391.94822
Yasuda, Masaya; Shimoyama, Takeshi; Kogure, Jun; Yokoyama, Kazuhiro; Koshiba, Takeshi
2015
Efficient arithmetic in successive algebraic extension fields using symmetries. Zbl 1300.12006
Orange, Sébastien; Renault, Guénaël; Yokoyama, Kazuhiro
2012
Parametric optimization in control using the sum of roots for parametric polynomial spectral factorization. Zbl 1190.93061
Kanno, Masaaki; Yokoyama, Kazuhiro; Anai, Hirokazu; Hara, Shinji
2007
The block cipher SC2000. Zbl 1073.68641
Shimoyama, Takeshi; Yanami, Hitoshi; Yokoyama, Kazuhiro; Takenaka, Masahiko; Itoh, Kouichi; Yajima, Jun; Torii, Naoya; Tanaka, Hidema
2002
Prime decomposition of polynomial ideals over finite fields. Zbl 1050.13014
Yokoyama, Kazuhiro
2002
Efficient implementation of Schoof’s algorithm. Zbl 0944.11042
Izu, Tetsuya; Kogure, Jun; Noro, Masayuki; Yokoyama, Kazuhiro
1998
On Hensel construction of eigenvalues and eigenvectors of matrices with polynomial entries. Zbl 0920.65021
Yokoyama, Kazuhiro; Takeshima, Taku
1993
On distance transitive graphs whose automorphism groups are affine. Zbl 0770.05059
Yokoyama, Kazuhiro
1992
On distance transitive graphs in which the stabilizer of a point contains an alternating group. Zbl 0663.05032
Yokoyama, Kazuhiro
1988
Usage of modular techniques for efficient computation of ideal operations. Zbl 1402.13026
Noro, Masayuki; Yokoyama, Kazuhiro
2018
Effective localization using double ideal quotient and its implementation. Zbl 1453.13012
Ishihara, Yuki; Yokoyama, Kazuhiro
2018
Analysis of decreasing squared-sum of Gram-Schmidt lengths for short lattice vectors. Zbl 1391.65099
Yasuda, Masaya; Yokoyama, Kazuhiro; Shimoyama, Takeshi; Kogure, Jun; Koshiba, Takeshi
2017
Practical packing method in somewhat homomorphic encryption. Zbl 1391.94821
Yasuda, Masaya; Shimoyama, Takeshi; Kogure, Jun; Yokoyama, Kazuhiro; Koshiba, Takeshi
2015
Secure statistical analysis using RLWE-based homomorphic encryption. Zbl 1391.94822
Yasuda, Masaya; Shimoyama, Takeshi; Kogure, Jun; Yokoyama, Kazuhiro; Koshiba, Takeshi
2015
Verification of Gröbner basis candidates. Zbl 1434.13029
Noro, Masayuki; Yokoyama, Kazuhiro
2014
Privacy-preserving wildcards pattern matching using symmetric somewhat homomorphic encryption. Zbl 1337.94085
Yasuda, Masaya; Shimoyama, Takeshi; Kogure, Jun; Yokoyama, Kazuhiro; Koshiba, Takeshi
2014
An effective implementation of symbolic-numeric cylindrical algebraic decomposition for quantifier elimination. Zbl 1291.68433
Iwane, Hidenao; Yanami, Hitoshi; Anai, Hirokazu; Yokoyama, Kazuhiro
2013
Packed homomorphic encryption based on ideal lattices and its application to biometrics. Zbl 1391.94820
Yasuda, Masaya; Shimoyama, Takeshi; Kogure, Jun; Yokoyama, Kazuhiro; Koshiba, Takeshi
2013
Efficient arithmetic in successive algebraic extension fields using symmetries. Zbl 1300.12006
Orange, Sébastien; Renault, Guénaël; Yokoyama, Kazuhiro
2012
An effective implementation of a symbolic-numeric cylindrical algebraic decomposition for quantifier elimination. Zbl 1356.68282
Iwane, Hidenao; Yanami, Hitoshi; Anai, Hirokazu; Yokoyama, Kazuhiro
2009
Quintic polynomials of Hashimoto-Tsunogai, Brumer and Kummer. Zbl 1204.12006
Kida, Masanari; Renault, Guénaël; Yokoyama, Kazuhiro
2009
Parametric polynomial spectral factorization using the sum of roots and its application to a control design problem. Zbl 1180.13036
Anai, Hirokazu; Hara, Shinji; Kanno, Masaaki; Yokoyama, Kazuhiro
2009
Computation schemes for splitting fields of polynomials. Zbl 1237.68259
Orange, Sébastien; Renault, Guénaël; Yokoyama, Kazuhiro
2009
On systems of algebraic equations with parametric exponents. II. Zbl 1142.13309
Yokoyama, Kazuhiro
2007
On the relationship between the sum of roots with positive real parts and polynomial spectral factorization. Zbl 1137.65349
Kanno, Masaaki; Anai, Hirokazu; Yokoyama, Kazuhiro
2007
Parametric optimization in control using the sum of roots for parametric polynomial spectral factorization. Zbl 1190.93061
Kanno, Masaaki; Yokoyama, Kazuhiro; Anai, Hirokazu; Hara, Shinji
2007
A modular method for computing the splitting field of a polynomial. Zbl 1143.11372
Renault, Guénaël; Yokoyama, Kazuhiro
2006
Stability of parametric decomposition. Zbl 1230.13029
Yokoyama, Kazuhiro
2006
On polynomial curves in the affine plane. Zbl 1105.14042
Fujimoto, Mitsushi; Suzuki, Masakazu; Yokoyama, Kazuhiro
2006
Sum of roots with positive real parts. Zbl 1360.68912
Anai, Hirokazu; Hara, Shinji; Yokoyama, Kazuhiro
2005
Implementation of prime decomposition of polynomial ideals over small finite fields. Zbl 1137.13318
Noro, Masayuki; Yokoyama, Kazuhiro
2005
$$\mathbb Z_3$$ symmetry and $$W_3$$ algebra in lattice vertex operator algebras. Zbl 1055.17013
Dong, Chongying; Lam, Ching Hung; Tanabe, Kenichiro; Yamada, Hiromichi; Yokoyama, Kazuhiro
2004
On systems of algebraic equations with parametric exponents. Zbl 1134.13309
Yokoyama, Kazuhiro
2004
Yet another practical implementation of polynomial factorization over finite fields. Zbl 1072.68690
Noro, Masayuki; Yokoyama, Kazuhiro
2002
The block cipher SC2000. Zbl 1073.68641
Shimoyama, Takeshi; Yanami, Hitoshi; Yokoyama, Kazuhiro; Takenaka, Masahiko; Itoh, Kouichi; Yajima, Jun; Torii, Naoya; Tanaka, Hidema
2002
Prime decomposition of polynomial ideals over finite fields. Zbl 1050.13014
Yokoyama, Kazuhiro
2002
A modular method to compute the rational univariate representation of zero-dimensional ideals. Zbl 0945.13010
Noro, Masayuki; Yokoyama, Kazuhiro
1999
Efficient implementation of Schoof’s algorithm. Zbl 0944.11042
Izu, Tetsuya; Kogure, Jun; Noro, Masayuki; Yokoyama, Kazuhiro
1998
A modular method for computing the Galois groups of polynomials. Zbl 0887.11047
Yokoyama, K.
1997
Localization and primary decomposition of polynomial ideals. Zbl 0874.13022
Shimoyama, Takeshi; Yokoyama, Kazuhiro
1996
Computation of the splitting fields and the Galois groups of polynomials. - Appendix. Zbl 0867.12006
Anai, H.; Noro, M.; Yokoyama, K.
1996
Finding roots of unity among quotients of the roots of an integral polynomial. Zbl 0924.11103
Yokoyama, Kazuhiro; Li, Ziming; Nemes, István
1995
On Hensel construction of eigenvalues and eigenvectors of matrices with polynomial entries. Zbl 0920.65021
Yokoyama, Kazuhiro; Takeshima, Taku
1993
Solutions of systems of algebraic equations and linear maps on residue class rings. Zbl 0757.13013
Yokoyama, Kazuhiro; Noro, Masayuki; Takeshima, Taku
1992
On distance transitive graphs whose automorphism groups are affine. Zbl 0770.05059
Yokoyama, Kazuhiro
1992
Computing primitive elements of extension fields. Zbl 0697.68054
Yokoyama, Kazuhiro; Noro, Masayuki; Takeshima, Taku
1989
On distance transitive graphs in which the stabilizer of a point contains an alternating group. Zbl 0663.05032
Yokoyama, Kazuhiro
1988
Distance transitive graphs and finite simple groups. Zbl 0619.05026
Praeger, Cheryl E.; Saxl, Jan; Yokoyama, Kazuhiro
1987
all top 5

#### Cited by 344 Authors

 12 Yokoyama, Kazuhiro 9 Anai, Hirokazu 9 Davenport, James Harold 9 England, Matthew 8 Romanovski, Valery G. 7 Noro, Masayuki 7 Praeger, Cheryl Elisabeth 5 Tanabe, Kenichiro 5 Wilson, David J. 5 Yasuda, Masaya 4 Bostan, Alin 4 Bradford, Russell J. 4 Iwane, Hidenao 4 Kaltofen, Erich L. 4 Levandovskyy, Viktor 4 Pfister, Gerhard 4 Schost, Éric 3 Chen, Changbo 3 Devillers, Alice 3 Hauenstein, Jonathan D. 3 Jin, Wei 3 Kanno, Masaaki 3 Moreno Maza, Marc 3 Renault, Guénaël 3 Steidel, Stefan 3 Swanson, Irena 3 Szántó, Ágnes 3 Valibouze, Annick 3 Wang, Dongming 3 Yamada, Hiromichi 3 Yanami, Hitoshi 2 Abbas, Hassan 2 Arai, Noriko H. 2 Arakawa, Tomoyuki 2 Arnold, Andrew 2 Assi, Abdallah 2 Barkatou, Moulay A. 2 Bridge, James P. 2 Chen, Hsian-Yang 2 Chen, Shaoshi 2 Cheng, Jinsan 2 Decker, Wolfram 2 Dong, Rina 2 Faugère, Jean-Charles 2 Gao, Shuhong 2 García Sánchez, Pedro A. 2 Giesbrecht, Mark W. 2 Giudici, Michael 2 Gutierrez, Jaime 2 Han, Maoan 2 Hara, Shinji 2 Huang, Zongyan 2 Ivanov, Alexander A. 2 Kauers, Manuel 2 Kida, Masanari 2 Kogure, Jun 2 Koshiba, Takeshi 2 Lam, Ching Hung 2 Li, Caiheng 2 Liebeck, Martin Walter 2 Maddah, Suzy S. 2 Mahdi, Adam 2 Matsuzaki, Takuya 2 Moroz, Guillaume 2 Mou, Chenqi 2 Mourrain, Bernard 2 Nabeshima, Katsusuke 2 Oaku, Toshinori 2 Orange, Sébastien 2 Paulson, Lawrence Charles 2 Roche, Daniel S. 2 Rouillier, Fabrice 2 Sadiq, Afshan 2 Saxl, Jan 2 Sevilla, David 2 Shimoyama, Takeshi 2 Sun, Yao 2 Vaccon, Tristan 2 van der Hoeven, Joris 2 Wang, Dingkang 2 Yamaguchi, Junpei 1 Abbott, John A. 1 Abdeljaouad-Tej, I. 1 Abidin, Aysajan 1 Adamović, Dražen 1 Arreche, Carlos E. 1 Aubry, Philippe 1 Bach, Eric 1 Bannai, Eiichi 1 Bates, Daniel J. 1 Bigatti, Anna Maria 1 Bikker, P. 1 Bläser, Markus 1 Bley, Werner 1 Bourget, Antoine 1 Bouzidi, Yacine 1 Breuning, Manuel 1 Buekenhout, Francis 1 Burger, Reinhold 1 Cabrera, Santiago ...and 244 more Authors
all top 5

#### Cited in 56 Serials

 48 Journal of Symbolic Computation 11 Journal of Algebra 7 European Journal of Combinatorics 7 Mathematics in Computer Science 6 Discrete Mathematics 3 Communications in Algebra 3 Mathematics of Computation 3 Journal of Pure and Applied Algebra 3 Theoretical Computer Science 3 Japan Journal of Industrial and Applied Mathematics 3 Applicable Algebra in Engineering, Communication and Computing 3 Journal of Systems Science and Complexity 3 Science China. Mathematics 2 Applied Mathematics and Computation 2 Advances in Applied Mathematics 2 Designs, Codes and Cryptography 2 Open Systems & Information Dynamics 2 Journal of the Australian Mathematical Society 2 International Journal of Number Theory 1 International Journal of Control 1 Journal of Mathematical Analysis and Applications 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series B 1 Journal of Computational and Applied Mathematics 1 Journal of Graph Theory 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Graphs and Combinatorics 1 Journal of Computer Science and Technology 1 Discrete Mathematics and Applications 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Algebraic Combinatorics 1 Finite Fields and their Applications 1 The Electronic Journal of Combinatorics 1 Nonlinear Dynamics 1 Annals of Mathematics. Second Series 1 LMS Journal of Computation and Mathematics 1 Journal of High Energy Physics 1 Nonlinear Analysis. Real World Applications 1 Central European Journal of Mathematics 1 Journal of Algebra and its Applications 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Advances in High Energy Physics 1 Mathematical Programming Computation 1 The Journal of Software for Algebra and Geometry 1 Pacific Journal of Mathematics for Industry
all top 5

#### Cited in 33 Fields

 108 Computer science (68-XX) 78 Commutative algebra (13-XX) 30 Numerical analysis (65-XX) 28 Field theory and polynomials (12-XX) 26 Combinatorics (05-XX) 26 Algebraic geometry (14-XX) 21 Number theory (11-XX) 20 Group theory and generalizations (20-XX) 14 Nonassociative rings and algebras (17-XX) 14 Ordinary differential equations (34-XX) 13 Information and communication theory, circuits (94-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Mathematical logic and foundations (03-XX) 7 Associative rings and algebras (16-XX) 5 Approximations and expansions (41-XX) 5 Systems theory; control (93-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Quantum theory (81-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 3 Mechanics of particles and systems (70-XX) 3 Operations research, mathematical programming (90-XX) 2 Partial differential equations (35-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)