Li, Zhaole; Shen, Bing; Tang, Deng A lower bound on the third-order nonlinearity of the simplest \(\mathcal{PS}_{a p}\) bent functions. (English) Zbl 07826727 Discrete Appl. Math. 349, 148-161 (2024). MSC: 94D10 × Cite Format Result Cite Review PDF Full Text: DOI
Bergström, Jonas; Howe, Everett W.; Lorenzo García, Elisa; Ritzenthaler, Christophe Lower bounds on the maximal number of rational points on curves over finite fields. (English) Zbl 07783188 Math. Proc. Camb. Philos. Soc. 176, No. 1, 213-238 (2024). Reviewer: Francesco Battistoni (Milano) MSC: 11G20 14H25 14H30 11R45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Kudo, Momonari; Harashita, Shushi; Senda, Hayato The existence of supersingular curves of genus 4 in arbitrary characteristic. (English) Zbl 1461.14038 Res. Number Theory 6, No. 4, Paper No. 44, 16 p. (2020). Reviewer: Noriko Yui (Kingston) MSC: 14H25 11G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Kudo, Momonari; Harashita, Shushi Computational approach to enumerate non-hyperelliptic superspecial curves of genus 4. (English) Zbl 1442.14088 Tokyo J. Math. 43, No. 1, 259-278 (2020). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 14G15 11G20 14G05 14G50 14H45 11Y50 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Kudo, Momonari On the existence of superspecial and maximal nonhyperelliptic curves of genera four and five. (English) Zbl 1468.14062 Commun. Algebra 47, No. 12, 5020-5038 (2019). MSC: 14H45 14G15 14G05 14Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lercier, Reynald; Ritzenthaler, Christophe; Rovetta, Florent; Sijsling, Jeroen; Smith, Benjamin Distributions of traces of Frobenius for smooth plane curves over finite fields. (English) Zbl 1431.14047 Exp. Math. 28, No. 1, 39-48 (2019). Reviewer: Fernando Torres (Campinas) MSC: 14Q05 14H10 14H25 14H37 14H45 14H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jun; Fu, Fang-Wei A construction of \(V_{h}\)-sequences and its application to binary asymmetric error-correcting codes. (English) Zbl 1403.14056 Finite Fields Appl. 55, 216-230 (2019). Reviewer: Fernando Hernando (Castellón) MSC: 14G50 94B27 94B65 × Cite Format Result Cite Review PDF Full Text: DOI
Howe, Everett W. Curves of medium genus with many points. (English) Zbl 1409.11048 Finite Fields Appl. 47, 145-160 (2017). MSC: 11G20 14G05 14G10 14G15 14H45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zaytsev, Alexey Optimal curves of low genus over finite fields. (English) Zbl 1346.11037 Finite Fields Appl. 37, 203-224 (2016). Reviewer: Fernando Torres (Campinas) MSC: 11G20 14H25 14H40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
van der Geer, Gerard Counting curves over finite fields. (English) Zbl 1378.11071 Finite Fields Appl. 32, 207-232 (2015). MSC: 11G20 14G15 14H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zaytsev, Alexey An improvement of the Hasse-Weil-Serre bound for curves over some finite fields. (English) Zbl 1307.14038 Finite Fields Appl. 30, 88-99 (2014). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 14H25 11R58 × Cite Format Result Cite Review PDF Full Text: DOI
Anbar, Nurdagül; Stichtenoth, Henning Curves of every genus with a prescribed number of rational points. (English) Zbl 1365.11079 Bull. Braz. Math. Soc. (N.S.) 44, No. 2, 173-193 (2013). MSC: 11G20 14G05 14G15 14H05 × Cite Format Result Cite Review PDF Full Text: DOI
Kawakita, Motoko Qiu A quotient curve of the Fermat curve of degree twenty-three attaining the Serre bound. (English) Zbl 1110.14026 J. Pure Appl. Algebra 196, No. 1, 101-110 (2005). MSC: 14H25 11G20 14G50 14G05 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Elkies, Noam D.; Howe, Everett W.; Kresch, Andrew; Poonen, Bjorn; Wetherell, Joseph L.; Zieve, Michael E. Curves of every genus with many points. II: Asymptotically good families. (English) Zbl 1072.11041 Duke Math. J. 122, No. 2, 399-422 (2004). Reviewer: Fernando Torres (Campinas) MSC: 11G20 14G05 14G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Howe, Everett W.; Lauter, Kristin E. Improved upper bounds for the number of points on curves over finite fields. (English) Zbl 1065.11043 Ann. Inst. Fourier 53, No. 6, 1677-1737 (2003); corrigendum ibid. 57, No. 3, 1019-1021 (2007). MSC: 11G20 14G05 14G10 14G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Deolalikar, Vinay Determining irreducibility and ramification groups for an additive extension of the rational function field. (English) Zbl 1036.11060 J. Number Theory 97, No. 2, 269-286 (2002). Reviewer: Robert F. Lax (Baton Rouge) MSC: 11R58 11G20 × Cite Format Result Cite Review PDF Full Text: DOI
Kresch, Andrew; Wetherell, Joseph L.; Zieve, Michael E. Curves of every genus with many points. I: Abelian and toric families. (English) Zbl 1062.14027 J. Algebra 250, No. 1, 353-370 (2002). MSC: 14G05 11G20 14G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ibukiyama, Tomoyoshi On rational points of curves of genus 3 over finite fields. (English) Zbl 0819.14007 Tôhoku Math. J., II. Ser. 45, No. 3, 311-329 (1993). MSC: 14G05 11G20 14G15 14H25 × Cite Format Result Cite Review PDF Full Text: DOI
Schoof, René Algebraic curves over \({\mathbb{F}}_ 2\) with many rational points. (English) Zbl 0762.11026 J. Number Theory 41, No. 1, 6-14 (1992). Reviewer: M.van der Vlugt (Leiden) MSC: 11G20 11R37 14H25 14G15 14G05 × Cite Format Result Cite Review PDF Full Text: DOI
Perret, M. Nombre maximum de points rationnels d’une courbe sur un corps fini. (Maximal number of rational points on a curve over a finite field). (French) Zbl 0772.14010 Sémin. Théor. Nombres Bordx., Sér. II 3, No. 2, 261-274 (1991). Reviewer: W.Kohnen (Münster) MSC: 14G05 14H45 14G15 11G20 14N10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Lewittes, Joseph Places of degree one in function fields over finite fields. (English) Zbl 0723.11061 J. Pure Appl. Algebra 69, No. 2, 177-183 (1990). Reviewer: N.L.Manev (Sofia) MSC: 11R58 11G20 14H05 94B27 × Cite Format Result Cite Review PDF Full Text: DOI
Janwa, Heeralal Some optimal codes from algebraic geometry and their covering radii. (English) Zbl 0705.94014 Eur. J. Comb. 11, No. 3, 249-266 (1990). MSC: 94B05 14Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Driencourt, Yves; Michon, Jean Francis Elliptic codes over fields of characteristic 2. (English) Zbl 0613.14026 J. Pure Appl. Algebra 45, 15-39 (1987). Reviewer: I.F.Blake MSC: 14H45 94B05 14G25 14H52 14G05 × Cite Format Result Cite Review PDF Full Text: DOI