Ozeki, Michio 48 dimensional even unimodular nearly extremal lattices. (English) Zbl 1439.11157 Tsukuba J. Math. 43, No. 2, 145-189 (2019). Reviewer: Gabriele Nebe (Aachen) MSC: 11H06 11E12 11F11 11F46 PDFBibTeX XMLCite \textit{M. Ozeki}, Tsukuba J. Math. 43, No. 2, 145--189 (2019; Zbl 1439.11157) Full Text: DOI Euclid
Ozeki, Michio A detailed study of the relationship between some of the root lattices and the coding theory. (English) Zbl 1429.11119 Kyushu J. Math. 72, No. 1, 123-141 (2018). MSC: 11H06 11H71 PDFBibTeX XMLCite \textit{M. Ozeki}, Kyushu J. Math. 72, No. 1, 123--141 (2018; Zbl 1429.11119) Full Text: DOI
Ozeki, Michio A numerical study of Siegel theta series of various degrees for the 48-dimensional even unimodular extremal lattices. (English) Zbl 1398.11077 Tsukuba J. Math. 40, No. 2, 139-186 (2016). Reviewer: Atsuhira Nagano (Tokyo) MSC: 11F46 11E20 11T71 PDFBibTeX XMLCite \textit{M. Ozeki}, Tsukuba J. Math. 40, No. 2, 139--186 (2016; Zbl 1398.11077) Full Text: DOI Euclid Link
Ozeki, Michio Siegel theta series of various degrees for the Leech lattice. (English) Zbl 1297.11019 Kyushu J. Math. 68, No. 1, 53-91 (2014). Reviewer: Meinhard Peters (Münster) MSC: 11E20 11F46 PDFBibTeX XMLCite \textit{M. Ozeki}, Kyushu J. Math. 68, No. 1, 53--91 (2014; Zbl 1297.11019) Full Text: DOI
Ozeki, Michio Two combinatorial structures in the binary Golay code of length \(24\). (English) Zbl 1301.94152 Kumamoto J. Math. 26, 23-43 (2013). MSC: 94B25 05E30 PDFBibTeX XMLCite \textit{M. Ozeki}, Kumamoto J. Math. 26, 23--43 (2013; Zbl 1301.94152) Full Text: Link
Ozeki, Michio A study of deep holes in the first-order Reed-Muller codes. (English) Zbl 1321.94126 Kyushu J. Math. 66, No. 2, 449-477 (2012). MSC: 94B05 05E30 11T71 PDFBibTeX XMLCite \textit{M. Ozeki}, Kyushu J. Math. 66, No. 2, 449--477 (2012; Zbl 1321.94126) Full Text: DOI
Ozeki, Michio On a problem posed by R. Salvati-Manni. (English) Zbl 1235.11067 Acta Arith. 150, No. 1, 1-22 (2011). Reviewer: Gabriele Nebe (Aachen) MSC: 11H71 11H50 11F46 PDFBibTeX XMLCite \textit{M. Ozeki}, Acta Arith. 150, No. 1, 1--22 (2011; Zbl 1235.11067) Full Text: DOI
Ozeki, Michio On intersection properties of extremal ternary codes. (English) Zbl 1198.94182 J. Math-for-Ind. 1, No. B, 105-121 (2009). MSC: 94B05 94A60 PDFBibTeX XMLCite \textit{M. Ozeki}, J. Math-for-Ind. 1, No. B, 105--121 (2009; Zbl 1198.94182) Full Text: Link
Ozeki, Michio Notes on the shadow process in self-dual codes. (English) Zbl 1018.94022 Discrete Math. 264, No. 1-3, 187-200 (2003). MSC: 94B05 PDFBibTeX XMLCite \textit{M. Ozeki}, Discrete Math. 264, No. 1--3, 187--200 (2003; Zbl 1018.94022) Full Text: DOI
Ozeki, Michio Jacobi polynomials for singly even self-dual codes and the covering radius problems. (English) Zbl 1064.94020 IEEE Trans. Inf. Theory 48, No. 2, 547-556 (2002). MSC: 94B75 33C45 94B05 PDFBibTeX XMLCite \textit{M. Ozeki}, IEEE Trans. Inf. Theory 48, No. 2, 547--556 (2002; Zbl 1064.94020) Full Text: DOI
Ozeki, Michio Combinatorial deformations of theta series of various kinds. (English) Zbl 0991.94528 RIMS Kokyuroku 1228, 140-152 (2001). MSC: 94B60 11F27 94B75 PDFBibTeX XMLCite \textit{M. Ozeki}, RIMS Kokyuroku 1228, 140--152 (2001; Zbl 0991.94528)
Ozeki, M. On the covering radius problem for ternary self-dual codes. (English) Zbl 0973.68063 Theor. Comput. Sci. 263, No. 1-2, 311-332 (2001). MSC: 68P30 PDFBibTeX XMLCite \textit{M. Ozeki}, Theor. Comput. Sci. 263, No. 1--2, 311--332 (2001; Zbl 0973.68063) Full Text: DOI
Ozeki, Michio On covering radii and coset weight distributions of extremal binary self-dual codes of length 56. (English) Zbl 1013.94023 IEEE Trans. Inf. Theory 46, No. 7, 2359-2372 (2000). Reviewer: T.Aaron Gulliver (Victoria) MSC: 94B05 94B75 PDFBibTeX XMLCite \textit{M. Ozeki}, IEEE Trans. Inf. Theory 46, No. 7, 2359--2372 (2000; Zbl 1013.94023) Full Text: DOI
Ozeki, M. On covering radii and coset weight distributions of extremal binary self-dual codes of length 40. (English) Zbl 0990.94039 Theor. Comput. Sci. 235, No. 2, 283-308 (2000). Reviewer: Patrick Solé (Sophia Antipolis) MSC: 94B75 90B60 PDFBibTeX XMLCite \textit{M. Ozeki}, Theor. Comput. Sci. 235, No. 2, 283--308 (2000; Zbl 0990.94039) Full Text: DOI
Ozeki, Michio On the notion of Jacobi polynomials for codes. (English) Zbl 0888.94028 Math. Proc. Camb. Philos. Soc. 121, No. 1, 15-30 (1997). Reviewer: Helmut Koch (Berlin) MSC: 94B05 11T71 11F50 PDFBibTeX XMLCite \textit{M. Ozeki}, Math. Proc. Camb. Philos. Soc. 121, No. 1, 15--30 (1997; Zbl 0888.94028) Full Text: DOI
Ozeki, Michio Quinary code construction of the Leech lattice. (English) Zbl 0956.11510 Nihonkai Math. J. 2, No. 2, 155-167 (1991). MSC: 11H31 11T71 94B27 PDFBibTeX XMLCite \textit{M. Ozeki}, Nihonkai Math. J. 2, No. 2, 155--167 (1991; Zbl 0956.11510)
Ozeki, Michio On the structure of even unimodular extremal lattices of rank 40. (English) Zbl 0706.11018 Rocky Mt. J. Math. 19, No. 3, 847-862 (1989). Reviewer: Heinz-Georg Quebbemann (Oldenburg) MSC: 11H55 11E45 PDFBibTeX XMLCite \textit{M. Ozeki}, Rocky Mt. J. Math. 19, No. 3, 847--862 (1989; Zbl 0706.11018) Full Text: DOI
Ozeki, Michio Representation of natural numbers by integral binary quadratic forms. (English) Zbl 0697.10017 Sci. Rep. Hirosaki Univ. 36, No. 1, 9-20 (1989). Reviewer: N.Schwartz MSC: 11E12 11R11 11R42 11D04 11E16 PDFBibTeX XMLCite \textit{M. Ozeki}, Sci. Rep. Hirosaki Univ. 36, No. 1, 9--20 (1989; Zbl 0697.10017)
Ozeki, Michio On a class of self-dual ternary codes. (English) Zbl 0688.94003 Sci. Rep. Hirosaki Univ. 36, No. 2, 184-191 (1989). Reviewer: M.Ozeki MSC: 94B05 PDFBibTeX XMLCite \textit{M. Ozeki}, Sci. Rep. Hirosaki Univ. 36, No. 2, 184--191 (1989; Zbl 0688.94003)
Ozeki, Michio Ternary code construction of even unimodular lattices. (English) Zbl 0686.10025 Théorie des nombres, C. R. Conf. Int., Québec/Can. 1987, 772-784 (1989). Reviewer: H.G.Quebbemann MSC: 11H55 94B40 PDFBibTeX XML
Ozeki, Michio Examples of even unimodular extremal lattices of rank 40 and their Siegel theta-series of degree 2. (English) Zbl 0638.10031 J. Number Theory 28, No. 2, 119-131 (1988). Reviewer: H.G.Quebbemann MSC: 11H55 11F27 11E45 11E12 PDFBibTeX XMLCite \textit{M. Ozeki}, J. Number Theory 28, No. 2, 119--131 (1988; Zbl 0638.10031) Full Text: DOI
Ozeki, Michio Hadamard matrices and doubly even self-dual error-correcting codes. (English) Zbl 0616.94013 J. Comb. Theory, Ser. A 44, 274-287 (1987). Reviewer: Vl.D.Tonchev MSC: 94B25 05B20 PDFBibTeX XMLCite \textit{M. Ozeki}, J. Comb. Theory, Ser. A 44, 274--287 (1987; Zbl 0616.94013) Full Text: DOI
Ozeki, Michio On the configurations of even unimodular lattices of rank 48. (English) Zbl 0571.10020 Arch. Math. 46, 54-61 (1986). MSC: 11E12 11F27 11E45 PDFBibTeX XMLCite \textit{M. Ozeki}, Arch. Math. 46, 54--61 (1986; Zbl 0571.10020) Full Text: DOI
Ozeki, Michio On even unimodular positive definite quadratic lattices of rank 32. (English) Zbl 0564.10016 Math. Z. 191, 283-291 (1986). MSC: 11E12 11F27 11E45 PDFBibTeX XMLCite \textit{M. Ozeki}, Math. Z. 191, 283--291 (1986; Zbl 0564.10016) Full Text: DOI EuDML
Ozeki, Michio A matrix partition problem. (English) Zbl 0544.15007 J. Comb. Theory, Ser. A 36, 204-213 (1984). Reviewer: N.I.Osetinski MSC: 15B36 11C20 PDFBibTeX XMLCite \textit{M. Ozeki}, J. Comb. Theory, Ser. A 36, 204--213 (1984; Zbl 0544.15007) Full Text: DOI
Ozeki, Michio On certain generalized Gaussian sums. (English) Zbl 0512.10028 Proc. Japan Acad., Ser. A 58, 223-226 (1982). MSC: 11L03 11E08 PDFBibTeX XMLCite \textit{M. Ozeki}, Proc. Japan Acad., Ser. A 58, 223--226 (1982; Zbl 0512.10028) Full Text: DOI
Ozeki, Michio Generalized Hadamard matrices and related matrices and their applications to the construction of the positive definite integral Hermitian forms. (English) Zbl 0471.10018 J. Comb. Theory, Ser. A 30, 270-275 (1981). MSC: 11E16 11E12 05B20 PDFBibTeX XMLCite \textit{M. Ozeki}, J. Comb. Theory, Ser. A 30, 270--275 (1981; Zbl 0471.10018) Full Text: DOI
Ozeki, Michio An application of L-functions of imaginary quadratic fields. (English) Zbl 0347.12003 J. Number Theory 9, 112-120 (1977). MSC: 11R11 11R42 11E16 PDFBibTeX XMLCite \textit{M. Ozeki}, J. Number Theory 9, 112--120 (1977; Zbl 0347.12003) Full Text: DOI
Ozeki, Michio On a property of Siegel theta-series. (English) Zbl 0337.10018 Math. Ann. 228, 249-258 (1977). MSC: 11F27 11E16 PDFBibTeX XMLCite \textit{M. Ozeki}, Math. Ann. 228, 249--258 (1977; Zbl 0337.10018) Full Text: DOI EuDML
Ozeki, Michio On a relation satisfied by Fourier coefficients of theta-series of degree one and two. (English) Zbl 0328.10023 Math. Ann. 222, 225-228 (1976). Reviewer: Michio Ozeki (Yamagata) MSC: 11F30 11F27 11E16 PDFBibTeX XMLCite \textit{M. Ozeki}, Math. Ann. 222, 225--228 (1976; Zbl 0328.10023) Full Text: DOI EuDML
Ozeki, M. Note on the positive definite integral quadratic lattice. (English) Zbl 0324.10013 J. Math. Soc. Japan 28, 421-446 (1976). MSC: 11E16 11H06 PDFBibTeX XMLCite \textit{M. Ozeki}, J. Math. Soc. Japan 28, 421--446 (1976; Zbl 0324.10013) Full Text: DOI
Ozeki, Michio On basis problem for Siegel modular forms of degree 2. (English) Zbl 0296.10014 Acta Arith. 31, 17-30 (1976). MSC: 11F27 11E16 PDFBibTeX XMLCite \textit{M. Ozeki}, Acta Arith. 31, 17--30 (1976; Zbl 0296.10014) Full Text: DOI EuDML
Ozeki, Michio On modular forms whose Fourier coefficients are non-negative integers with the constant term unity. (English) Zbl 0266.10021 Math. Ann. 206, 187-203 (1973). Reviewer: M. Eichler MSC: 11F11 11F30 11F27 PDFBibTeX XMLCite \textit{M. Ozeki}, Math. Ann. 206, 187--203 (1973; Zbl 0266.10021) Full Text: DOI EuDML