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 Number of points of a nonsingular hypersurface in an odd-dimensional projective space. (English) Zbl 1398.14031 Finite Fields Appl. 48, 395-419 (2017). Reviewer: Nikolai L. Manev (Sofia) MSC: 14G15 14N05 14J70 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, Finite Fields Appl. 48, 395--419 (2017; Zbl 1398.14031) Full Text: DOI arXiv
Cheon, Eun Ju; Homma, Masaaki; Kim, Seon Jeong; Lee, Namyong On a number of rational points on a plane curve of low degree. (English) Zbl 1386.14120 Discrete Math. 340, No. 6, 1327-1334 (2017). Reviewer: Fernando Torres (Campinas) MSC: 14H50 14G15 14G05 14N10 PDF BibTeX XML Cite \textit{E. J. Cheon} et al., Discrete Math. 340, No. 6, 1327--1334 (2017; Zbl 1386.14120) 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 Numbers of points of surfaces in the projective 3-space over finite fields. (English) Zbl 1330.14035 Finite Fields Appl. 35, 52-60 (2015). Reviewer: Guillermo Matera (Buenos Aires) MSC: 14G15 14G05 14J70 14N05 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, Finite Fields Appl. 35, 52--60 (2015; Zbl 1330.14035) 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; Kim, Seon Jeong The uniqueness of a plane curve of degree \(q\) attaining Sziklai’s bound over \(\mathbb F_{q}\). (English) Zbl 1243.14024 Finite Fields Appl. 18, No. 3, 567-580 (2012). Reviewer: Fernando Torres (Campinas) MSC: 14H50 14G15 14G05 14N10 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, Finite Fields Appl. 18, No. 3, 567--580 (2012; Zbl 1243.14024) Full Text: DOI
Homma, Masaaki; Kim, Seon Jeong Toward determination of optimal plane curves with a fixed degree over a finite field. (English) Zbl 1215.14033 Finite Fields Appl. 17, No. 3, 240-253 (2011). Reviewer: Fernando Torres (Campinas) MSC: 14H50 14G15 14G05 14N10 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, Finite Fields Appl. 17, No. 3, 240--253 (2011; Zbl 1215.14033) Full Text: DOI
Homma, Masaaki; Kim, Seon Jeong Sziklai’s conjecture on the number of points of a plane curve over a finite field. II. (English) Zbl 1211.14037 McGuire, Gary (ed.) et al., Finite fields. Theory and applications. Proceedings of the 9th international conference on finite fields and applications, Dublin, Ireland, July 13–17, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4786-2/pbk). Contemporary Mathematics 518, 225-234 (2010). Reviewer: Fumio Hazama (Hatoyama) MSC: 14H50 14G15 14G05 14N10 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, Contemp. Math. 518, 225--234 (2010; Zbl 1211.14037) Full Text: arXiv
Homma, Masaaki; Kim, Seon Jeong Sziklai’s conjecture on the number of points of a plane curve over a finite field. III. (English) Zbl 1196.14030 Finite Fields Appl. 16, No. 5, 315-319 (2010). MSC: 14H50 14G15 14G05 14N10 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, Finite Fields Appl. 16, No. 5, 315--319 (2010; Zbl 1196.14030) Full Text: DOI
Homma, Masaaki; Kim, Seon Jeong Around Sziklai’s conjecture on the number of points of a plane curve over a finite field. (English) Zbl 1194.14031 Finite Fields Appl. 15, No. 4, 468-474 (2009). Reviewer: Hendrik Hubrechts (Leuven) MSC: 14G15 14G05 14H25 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, Finite Fields Appl. 15, No. 4, 468--474 (2009; Zbl 1194.14031) Full Text: DOI
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, M.; Kim, S. J.; Komeda, J. A semigroup at a pair of Weierstrass points on a cyclic 4-gonal curve and a bielliptic curve. (English) Zbl 1107.14024 J. Algebra 305, No. 1, 1-17 (2006). Reviewer: Cicero Carvalho (Uberlandia) MSC: 14H55 14H45 PDF BibTeX XML Cite \textit{M. Homma} et al., J. Algebra 305, No. 1, 1--17 (2006; Zbl 1107.14024) 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
Homma, Masaaki; Kim, Seon Jeong; Yoo, Mi Ja Correction to our paper: Projective systems supported on the complement of two linear subspaces (Bull. Korean Math. Soc. 37 (2000), 493-505). (English) Zbl 1045.94542 Bull. Korean Math. Soc. 41, No. 1, 19-25 (2004). MSC: 94B05 51E20 05B25 14N20 PDF BibTeX XML Cite \textit{M. Homma} et al., Bull. Korean Math. Soc. 41, No. 1, 19--25 (2004; Zbl 1045.94542) Full Text: DOI
Homma, Masaaki; Kim, Seon Jeong Goppa codes with Weierstrass pairs. (English) Zbl 0991.94055 J. Pure Appl. Algebra 162, No. 2-3, 273-290 (2001). Reviewer: Robert F.Lax (Baton Rouge) MSC: 94B27 14H55 94B65 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, J. Pure Appl. Algebra 162, No. 2--3, 273--290 (2001; Zbl 0991.94055) Full Text: DOI
Homma, Masaaki; Kim, Seon Jeong Goppa codes supported by two points on a curve. (English) Zbl 1036.94014 Begehr, Heinrich G. W. (ed.) et al., Proceedings of the second ISAAC congress. Vol. 2. Proceedings of the International Society for Analysis, its Applications and Computation Congress, Fukuoka, Japan, August 16–21, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6598-4/hbk). Int. Soc. Anal. Appl. Comput. 8, 955-965 (2000). Reviewer: G. Lomadze MSC: 94B27 14H55 14G50 14H51 PDF BibTeX XML Cite \textit{M. Homma} and \textit{S. J. Kim}, in: Proceedings of the second ISAAC congress. Vol. 2. Proceedings of the International Society for Analysis, its Applications and Computation congress, Fukuoka, Japan, August 16--21, 1999. Dordrecht: Kluwer Academic Publishers. 955--965 (2000; Zbl 1036.94014)
Homma, Masaaki; Kim, Seon Jeong; Yoo, Mi Ya Projective systems supported on the complement of two linear subspaces. (English) Zbl 0963.94036 Bull. Korean Math. Soc. 37, No. 3, 493-505 (2000). Reviewer: A.Cossidente (Potenza) MSC: 94B05 51E20 05B25 PDF BibTeX XML Cite \textit{M. Homma} et al., Bull. Korean Math. Soc. 37, No. 3, 493--505 (2000; Zbl 0963.94036)