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## Ozeki, Michio

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 Author ID: ozeki.michio Published as: Ozeki, M.; Ozeki, Michio
 Documents Indexed: 48 Publications since 1973 Reviewing Activity: 77 Reviews
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#### Co-Authors

 33 single-authored 5 Washio, Tadashi 4 Harada, Masaaki 3 Bannai, Eiichi 2 Oura, Manabu 1 Aoki, Toru 1 Bannai, Etsuko 1 Gaborit, Philippe 1 Kitazume, Masaaki 1 Minashima, Shinri 1 Solé, Patrick 1 Tanabe, Kenichiro 1 Teranishi, Yasuo 1 Waki, Katsushi
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#### Serials

 5 Kyushu Journal of Mathematics 3 IEEE Transactions on Information Theory 3 Journal of Combinatorial Theory. Series A 3 Mathematische Annalen 3 Proceedings of the Japan Academy. Series A 2 Discrete Mathematics 2 Acta Arithmetica 2 Journal of Number Theory 2 The Science Reports of the Hirosaki University 2 Theoretical Computer Science 2 Tsukuba Journal of Mathematics 2 Bulletin of the Faculty of Liberal Arts. Natural Science 2 Journal of Math-for-Industry 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archiv der Mathematik 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 European Journal of Combinatorics 1 Kumamoto Journal of Mathematics 1 Designs, Codes and Cryptography 1 Journal of Algebraic Combinatorics 1 RIMS Kokyuroku 1 Nihonkai Mathematical Journal
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#### Fields

 35 Number theory (11-XX) 20 Information and communication theory, circuits (94-XX) 4 Combinatorics (05-XX) 4 Numerical analysis (65-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

31 Publications have been cited 120 times in 81 Documents Cited by Year
On the notion of Jacobi polynomials for codes. Zbl 0888.94028
Ozeki, Michio
1997
On the covering radius of $$\mathbb{Z}_4$$-codes and their lattices. Zbl 0959.94036
Aoki, Toru; Gaborit, Philippe; Harada, Masaaki; Ozeki, Michio; Solé, Patrick
1999
Ternary code construction of unimodular lattices and self-dual codes over $$\mathbb Z_6$$. Zbl 1027.94022
Harada, Masaaki; Kitazume, Masaaki; Ozeki, Michio
2002
Hadamard matrices and doubly even self-dual error-correcting codes. Zbl 0616.94013
Ozeki, Michio
1987
Construction of Jacobi forms from certain combinatorial polynomials. Zbl 0860.11026
Bannai, Eiichi; Ozeki, Michio
1996
Examples of even unimodular extremal lattices of rank 40 and their Siegel theta-series of degree 2. Zbl 0638.10031
Ozeki, Michio
1988
On even unimodular positive definite quadratic lattices of rank 32. Zbl 0564.10016
Ozeki, Michio
1986
Table of the Fourier coefficients of Eisenstein series of degree 3. Zbl 0522.10018
1983
On the configurations of even unimodular lattices of rank 48. Zbl 0571.10020
Ozeki, Michio
1986
On the structure of even unimodular extremal lattices of rank 40. Zbl 0706.11018
Ozeki, Michio
1989
On modular forms whose Fourier coefficients are non-negative integers with the constant term unity. Zbl 0266.10021
Ozeki, Michio
1973
On covering radii and coset weight distributions of extremal binary self-dual codes of length 40. Zbl 0990.94039
Ozeki, M.
2000
On the ring of simultaneous invariants for the Gleason-MacWilliams group. Zbl 0944.15022
Bannai, Eiichi; Bannai, Etsuko; Ozeki, Michio; Teranishi, Yasuo
1999
Note on the positive definite integral quadratic lattice. Zbl 0324.10013
Ozeki, M.
1976
On basis problem for Siegel modular forms of degree 2. Zbl 0296.10014
Ozeki, Michio
1976
Siegel theta series of various degrees for the Leech lattice. Zbl 1297.11019
Ozeki, Michio
2014
Extremal self-dual codes with the smallest covering radius. Zbl 0974.94027
2000
On Jacobi forms of weight 4. Zbl 0896.11018
Bannai, Eiichi; Minashima, Shinri; Ozeki, Michio
1996
Explicit formulas for the Fourier coefficients of Eisenstein series of degree 3. Zbl 0512.10022
1983
On certain generalized Gaussian sums. Zbl 0512.10028
Ozeki, Michio
1982
On a relation satisfied by Fourier coefficients of theta-series of degree one and two. Zbl 0328.10023
Ozeki, Michio
1976
A numerical study of Siegel theta series of various degrees for the 32-dimensional even unimodular extremal lattices. Zbl 1409.11039
Oura, Manabu; Ozeki, Michio
2016
Distinguishing Siegel theta series of degree 4 for the 32-dimensional even unimodular extremal lattices. Zbl 1409.11038
Oura, Manabu; Ozeki, Michio
2016
On the covering radius of ternary extremal self-dual codes. Zbl 1062.94072
Harada, Masaaki; Ozeki, Michio; Tanabe, Kenichiro
2004
Notes on the shadow process in self-dual codes. Zbl 1018.94022
Ozeki, Michio
2003
Jacobi polynomials for singly even self-dual codes and the covering radius problems. Zbl 1064.94020
Ozeki, Michio
2002
On covering radii and coset weight distributions of extremal binary self-dual codes of length 56. Zbl 1013.94023
Ozeki, Michio
2000
Quinary code construction of the Leech lattice. Zbl 0956.11510
Ozeki, Michio
1991
Ternary code construction of even unimodular lattices. Zbl 0686.10025
Ozeki, Michio
1989
Generalized Hadamard matrices and related matrices and their applications to the construction of the positive definite integral Hermitian forms. Zbl 0471.10018
Ozeki, Michio
1981
On a property of Siegel theta-series. Zbl 0337.10018
Ozeki, Michio
1977
A numerical study of Siegel theta series of various degrees for the 32-dimensional even unimodular extremal lattices. Zbl 1409.11039
Oura, Manabu; Ozeki, Michio
2016
Distinguishing Siegel theta series of degree 4 for the 32-dimensional even unimodular extremal lattices. Zbl 1409.11038
Oura, Manabu; Ozeki, Michio
2016
Siegel theta series of various degrees for the Leech lattice. Zbl 1297.11019
Ozeki, Michio
2014
On the covering radius of ternary extremal self-dual codes. Zbl 1062.94072
Harada, Masaaki; Ozeki, Michio; Tanabe, Kenichiro
2004
Notes on the shadow process in self-dual codes. Zbl 1018.94022
Ozeki, Michio
2003
Ternary code construction of unimodular lattices and self-dual codes over $$\mathbb Z_6$$. Zbl 1027.94022
Harada, Masaaki; Kitazume, Masaaki; Ozeki, Michio
2002
Jacobi polynomials for singly even self-dual codes and the covering radius problems. Zbl 1064.94020
Ozeki, Michio
2002
On covering radii and coset weight distributions of extremal binary self-dual codes of length 40. Zbl 0990.94039
Ozeki, M.
2000
Extremal self-dual codes with the smallest covering radius. Zbl 0974.94027
2000
On covering radii and coset weight distributions of extremal binary self-dual codes of length 56. Zbl 1013.94023
Ozeki, Michio
2000
On the covering radius of $$\mathbb{Z}_4$$-codes and their lattices. Zbl 0959.94036
Aoki, Toru; Gaborit, Philippe; Harada, Masaaki; Ozeki, Michio; Solé, Patrick
1999
On the ring of simultaneous invariants for the Gleason-MacWilliams group. Zbl 0944.15022
Bannai, Eiichi; Bannai, Etsuko; Ozeki, Michio; Teranishi, Yasuo
1999
On the notion of Jacobi polynomials for codes. Zbl 0888.94028
Ozeki, Michio
1997
Construction of Jacobi forms from certain combinatorial polynomials. Zbl 0860.11026
Bannai, Eiichi; Ozeki, Michio
1996
On Jacobi forms of weight 4. Zbl 0896.11018
Bannai, Eiichi; Minashima, Shinri; Ozeki, Michio
1996
Quinary code construction of the Leech lattice. Zbl 0956.11510
Ozeki, Michio
1991
On the structure of even unimodular extremal lattices of rank 40. Zbl 0706.11018
Ozeki, Michio
1989
Ternary code construction of even unimodular lattices. Zbl 0686.10025
Ozeki, Michio
1989
Examples of even unimodular extremal lattices of rank 40 and their Siegel theta-series of degree 2. Zbl 0638.10031
Ozeki, Michio
1988
Hadamard matrices and doubly even self-dual error-correcting codes. Zbl 0616.94013
Ozeki, Michio
1987
On even unimodular positive definite quadratic lattices of rank 32. Zbl 0564.10016
Ozeki, Michio
1986
On the configurations of even unimodular lattices of rank 48. Zbl 0571.10020
Ozeki, Michio
1986
Table of the Fourier coefficients of Eisenstein series of degree 3. Zbl 0522.10018
1983
Explicit formulas for the Fourier coefficients of Eisenstein series of degree 3. Zbl 0512.10022
1983
On certain generalized Gaussian sums. Zbl 0512.10028
Ozeki, Michio
1982
Generalized Hadamard matrices and related matrices and their applications to the construction of the positive definite integral Hermitian forms. Zbl 0471.10018
Ozeki, Michio
1981
On a property of Siegel theta-series. Zbl 0337.10018
Ozeki, Michio
1977
Note on the positive definite integral quadratic lattice. Zbl 0324.10013
Ozeki, M.
1976
On basis problem for Siegel modular forms of degree 2. Zbl 0296.10014
Ozeki, Michio
1976
On a relation satisfied by Fourier coefficients of theta-series of degree one and two. Zbl 0328.10023
Ozeki, Michio
1976
On modular forms whose Fourier coefficients are non-negative integers with the constant term unity. Zbl 0266.10021
Ozeki, Michio
1973
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#### Cited by 91 Authors

 12 Ozeki, Michio 10 Harada, Masaaki 7 Solé, Patrick 6 Munemasa, Akihiro 5 Choie, YoungJu 4 Bannai, Eiichi 4 Chinen, Koji 4 Durairajan, Chinnappillai 4 Kominers, Scott Duke 3 Guenda, Kenza 3 Gulliver, Thomas Aaron 3 Nagaoka, Shoyu 3 Oura, Manabu 2 Annamalai, N. 2 Chatouh, Karima 2 Elkies, Noam David 2 Gaborit, Philippe 2 Miezaki, Tsuyoshi 2 Noui, Lamnouar 2 Pandian, P. Chella 2 Takemori, Sho 2 Venkov, Boris B. 1 Abel, Zachary R. 1 Alahmadi, Adel N. 1 Ankur 1 Bachoc, Christine 1 Bannai, Etsuko 1 Böcherer, Siegfried 1 Bonnecaze, Alexis 1 Brock, Bradley W. 1 Chakraborty, Kalyan 1 Chubarov, Igor A. 1 Crnković, Dean 1 Deza, Michel Marie 1 Dutour-Sikiric, Mathieu 1 Fomenko, Oleg Mstislavovich 1 Gao, Jian 1 Georgiou, Stelios D. 1 Gupta, Manish Kumar 1 Han, Sunghyu 1 Hironaka, Yumiko 1 Holzmann, Wolfgang H. 1 Honma, Ken-ichi 1 Huffman, W. Cary 1 Ibukiyama, Tomoyoshi 1 Kewat, Pramod Kumar 1 Kharaghani, Hadi 1 Khorvash, M. 1 Kim, Haesuk 1 Kim, Jon-Lark 1 Kitaoka, Yoshiyuki 1 Kitazume, Masaaki 1 Kostrikin, Alekseĭ Ivanovich 1 Koukouvinos, Christos 1 Kuang, Jinghua 1 Lafortune, Stéphane 1 Lal, Arbind Kumar 1 Lanphier, Dominic 1 Lappas, Evaggelos 1 Lee, Heisook 1 Lee, Yoonjin 1 Li, Juan 1 Mahalakshmi, J. 1 Mostarac, Nina 1 Mourrain, Bernard 1 Ojiro, Norifumi 1 Okabe, Tsuneyasu 1 Oral, Haluk 1 Peters, Meinhard 1 Pless, Vera S. 1 Poor, Cris 1 Qian, Zhongqiang 1 Rains, Eric M. 1 Ramakrishnan, Balakrishnan 1 Ryan, Nathan C. 1 Salvati Manni, Riccardo 1 Sato, Fumihiro 1 Satoh, Takakazu 1 Schulze-Pillot, Rainer 1 Sheikholeslam, S. Arash 1 Shimada, Ichiro 1 Tanabe, Kenichiro 1 Teranishi, Yasuo 1 Tonchev, Vladimir D. 1 Tsuyumine, Shigeaki 1 Wang, Weilin 1 Wang, Yongkang 1 Washio, Tadashi 1 Watkins, Mark James 1 Xu, Xiaoping 1 Yuen, David S.
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#### Cited in 36 Serials

 8 Journal of Combinatorial Theory. Series A 6 Journal of Number Theory 5 Discrete Mathematics 5 European Journal of Combinatorics 5 Finite Fields and their Applications 4 Mathematics of Computation 4 Proceedings of the Japan Academy. Series A 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Mathematische Annalen 3 Journal de Théorie des Nombres de Bordeaux 3 Asian-European Journal of Mathematics 2 Journal of Soviet Mathematics 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Theoretical Computer Science 2 The Ramanujan Journal 2 Journal of Applied Mathematics and Computing 2 Discrete Mathematics, Algorithms and Applications 1 Bulletin of the Australian Mathematical Society 1 International Journal of Control 1 Information Processing Letters 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Compositio Mathematica 1 Journal of Combinatorial Theory. Series B 1 Journal of Statistical Planning and Inference 1 Nagoya Mathematical Journal 1 Tokyo Journal of Mathematics 1 Graphs and Combinatorics 1 Designs, Codes and Cryptography 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Algebraic Combinatorics 1 Journal of Discrete Mathematical Sciences & Cryptography 1 International Journal of Number Theory 1 Advances in Mathematics of Communications 1 International Journal of Combinatorics
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#### Cited in 16 Fields

 56 Number theory (11-XX) 44 Information and communication theory, circuits (94-XX) 11 Combinatorics (05-XX) 3 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 2 Associative rings and algebras (16-XX) 2 Operations research, mathematical programming (90-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX)