Homma, Masaaki Fragments of plane filling curves of degree \(q + 2\) over the finite field of \(q\) elements, and of affine-plane filling curves of degree \(q + 1\). (English) Zbl 1439.14082 Linear Algebra Appl. 589, 9-27 (2020). MSC: 14G15 14H50 14G05 11G20 PDF BibTeX XML Cite \textit{M. Homma}, Linear Algebra Appl. 589, 9--27 (2020; Zbl 1439.14082) Full Text: DOI
Homma, Masaaki; Kim, Seon Jeong The second largest number of points on plane curves over finite fields. (English) Zbl 1411.11059 Finite Fields Appl. 49, 80-93 (2018). MSC: 11G20 13F20 14G15 14N05 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, Finite Fields Appl. 49, 80--93 (2018; Zbl 1411.11059) Full Text: DOI
Homma, Masaaki; Kim, Seon Jeong The characterization of Hermitian surfaces by the number of points. (English) Zbl 1410.11081 J. Geom. 107, No. 3, 509-521 (2016). MSC: 11G25 14G15 14J70 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, J. Geom. 107, No. 3, 509--521 (2016; Zbl 1410.11081) Full Text: DOI arXiv
Homma, Masaaki; Kim, Seon Jeong An elementary bound for the number of points of a hypersurface over a finite field. (English) Zbl 1271.14059 Finite Fields Appl. 20, 76-83 (2013). Reviewer: Josep M. Miret Biosca (Lleida) MSC: 14J70 11G25 05B25 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, Finite Fields Appl. 20, 76--83 (2013; Zbl 1271.14059) Full Text: DOI
Homma, Masaaki; Kim, Seon Jeong Nonsingular plane filling curves of minimum degree over a finite field and their automorphism groups: Supplements to a work of Tallini. (English) Zbl 1259.14023 Linear Algebra Appl. 438, No. 3, 969-985 (2013). Reviewer: Enric Nart Viñals (Barcelona) MSC: 14G15 14H37 14H50 14G05 11G20 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, Linear Algebra Appl. 438, No. 3, 969--985 (2013; Zbl 1259.14023) Full Text: DOI arXiv
Fukasawa, Satoru; Homma, Masaaki; Kim, Seon Jeong Rational curves with many rational points over a finite field. (English) Zbl 1317.11059 Aubry, Yves (ed.) et al., Arithmetic, geometry, cryptography and coding theory. 13th conference on arithmetic, geometry, cryptography and coding theory, CIRM, Marseille, France, March 14–18, 2011 and Geocrypt 2011, Bastia, France, June 19–24, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7572-8/pbk; 978-0-8218-9027-1/ebook). Contemporary Mathematics 574, 37-48 (2012). MSC: 11G05 14G15 14H50 PDF BibTeX XML Cite \textit{S. Fukasawa} et al., Contemp. Math. 574, 37--48 (2012; Zbl 1317.11059) Full Text: DOI arXiv
Homma, Masaaki A bound on the number of points of a curve in a projective space over a finite field. (English) Zbl 1286.14037 Lavrauw, Michel (ed.) et al., Theory and applications of finite fields. The 10th international conference on finite fields and their applications, Ghent, Belgium, July 11–15, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5298-9/pbk; 978-0-8218-9157-5/ebook). Contemporary Mathematics 579, 103-110 (2012). Reviewer: Enric Nart Viñals (Barcelona) MSC: 14G15 11G20 PDF BibTeX XML Cite \textit{M. Homma}, Contemp. Math. 579, 103--110 (2012; Zbl 1286.14037) Full Text: DOI arXiv
Homma, Masaaki; Kim, Seon Jeong The second generalized Hamming weight for two-point codes on a Hermitian curve. (English) Zbl 1178.94247 Des. Codes Cryptography 50, No. 1, 1-40 (2009). MSC: 94B27 14H50 11T71 11G20 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, Des. Codes Cryptography 50, No. 1, 1--40 (2009; Zbl 1178.94247) Full Text: DOI
Homma, Masaaki; Kim, Seon Jeong The complete determination of the minimum distance of two-point codes on a Hermitian curve. (English) Zbl 1202.94220 Des. Codes Cryptography 40, No. 1, 5-24 (2006). MSC: 94B27 14H50 11T71 11G20 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, Des. Codes Cryptography 40, No. 1, 5--24 (2006; Zbl 1202.94220) Full Text: DOI
Homma, Masaaki; Kim, Seon Jeong The two-point codes with the designed distance on a Hermitian curve in even characteristic. (English) Zbl 1111.14015 Des. Codes Cryptography 39, No. 3, 375-386 (2006). MSC: 14G50 94B27 11T71 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, Des. Codes Cryptography 39, No. 3, 375--386 (2006; Zbl 1111.14015) Full Text: DOI
Homma, Masaaki; Kim, Seon Jeong The two-point codes on a Hermitian curve with the designed minimum distance. (English) Zbl 1142.94392 Des. Codes Cryptography 38, No. 1, 55-81 (2006). MSC: 94B27 11T71 14G50 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, Des. Codes Cryptography 38, No. 1, 55--81 (2006; Zbl 1142.94392) Full Text: DOI
Homma, Masaaki; Kim, Seon Jeong Toward the determination of the minimum distance of two-point codes on a Hermitian curve. (English) Zbl 1158.94412 Des. Codes Cryptography 37, No. 1, 111-132 (2005). MSC: 94B27 11T71 14H50 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, Des. Codes Cryptography 37, No. 1, 111--132 (2005; Zbl 1158.94412) Full Text: DOI
Garcia, Arnaldo; Homma, Masaaki Frobenius order-sequences of curves. (English) Zbl 0824.14019 Frey, Gerhard (ed.) et al., Algebra and number theory. Proceedings of a conference held at the Institute of Experimental Mathematics, University of Essen, Germany, December 2-4, 1992. Berlin: de Gruyter. 27-41 (1994). Reviewer: D.Goss (Columbus/Ohio) MSC: 14H25 14G15 14G05 11G20 14H45 PDF BibTeX XML Cite \textit{A. Garcia} and \textit{M. Homma}, in: Algebra and number theory. Proceedings of a conference held at the Institute of Experimental Mathematics, University of Essen, Germany, December 2-4, 1992. Berlin: de Gruyter. 27--41 (1994; Zbl 0824.14019)
Homma, Masaaki On the equations defining a projective curve embedded by a non-special divisor. (English) Zbl 0442.14011 Tsukuba J. Math. 3, No. 2, 31-39 (1979). MSC: 14H99 14C20 14M10 11D04 11D25 PDF BibTeX XML Cite \textit{M. Homma}, Tsukuba J. Math. 3, No. 2, 31--39 (1979; Zbl 0442.14011) Full Text: DOI
Homma, Masaaki On Weierstrass points of Riemann surfaces associated with \(\Gamma (n,2n)\). (English) Zbl 0421.14005 Tsukuba J. Math. 3, No. 1, 65-74 (1979). MSC: 14H55 11F41 14H45 PDF BibTeX XML Cite \textit{M. Homma}, Tsukuba J. Math. 3, No. 1, 65--74 (1979; Zbl 0421.14005) Full Text: DOI