Wang, Wei; Wang, Weijia; Zhang, Hao A structure theorem for the restricted sum of four squares. (English) Zbl 07814070 Finite Fields Appl. 95, Article ID 102398, 17 p. (2024). Reviewer: Meinhard Peters (Münster) MSC: 11E25 PDFBibTeX XMLCite \textit{W. Wang} et al., Finite Fields Appl. 95, Article ID 102398, 17 p. (2024; Zbl 07814070) Full Text: DOI
Leep, David B.; Petrik, Rachel L. Further improvements to the Chevalley-Warning theorems. (English) Zbl 1526.11013 Finite Fields Appl. 89, Article ID 102194, 16 p. (2023). Reviewer: Telveenus Antony (Kingston upon Thames) MSC: 11E76 11T06 PDFBibTeX XMLCite \textit{D. B. Leep} and \textit{R. L. Petrik}, Finite Fields Appl. 89, Article ID 102194, 16 p. (2023; Zbl 1526.11013) Full Text: DOI arXiv
Roy, Sankhadip Some enumeration results on trace forms of low radical over finite fields of characteristic two. (English) Zbl 1510.11163 Finite Fields Appl. 80, Article ID 102005, 21 p. (2022). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11T06 11E04 11G20 PDFBibTeX XMLCite \textit{S. Roy}, Finite Fields Appl. 80, Article ID 102005, 21 p. (2022; Zbl 1510.11163) Full Text: DOI
Krachun, Dmitry; Petrov, Fedor; Sun, Zhi-Wei; Vsemirnov, Maxim On some determinants involving Jacobi symbols. (English) Zbl 1444.11240 Finite Fields Appl. 64, Article ID 101672, 25 p. (2020). MSC: 11T24 11C20 11E16 15A15 PDFBibTeX XMLCite \textit{D. Krachun} et al., Finite Fields Appl. 64, Article ID 101672, 25 p. (2020; Zbl 1444.11240) Full Text: DOI arXiv
Ivanyos, Gábor; Kutas, Péter; Rónyai, Lajos Explicit equivalence of quadratic forms over \(\mathbb{F}_q(t)\). (English) Zbl 1460.11041 Finite Fields Appl. 55, 33-63 (2019). MSC: 11E12 11E20 68W20 PDFBibTeX XMLCite \textit{G. Ivanyos} et al., Finite Fields Appl. 55, 33--63 (2019; Zbl 1460.11041) Full Text: DOI arXiv
Sivatski, A. S. On common zeros of a pair of quadratic forms over a finite field. (English) Zbl 1421.11028 Finite Fields Appl. 51, 191-203 (2018). MSC: 11E04 11E81 11R99 11T99 PDFBibTeX XMLCite \textit{A. S. Sivatski}, Finite Fields Appl. 51, 191--203 (2018; Zbl 1421.11028) Full Text: DOI
Fitzgerald, Robert W.; Kottegoda, Yasanthi Invariants of trace forms in odd characteristic and authentication codes. (English) Zbl 1398.94115 Finite Fields Appl. 48, 1-9 (2017). MSC: 94A60 94A62 11E04 11T71 PDFBibTeX XMLCite \textit{R. W. Fitzgerald} and \textit{Y. Kottegoda}, Finite Fields Appl. 48, 1--9 (2017; Zbl 1398.94115) Full Text: DOI
Harada, Masaaki; Munemasa, Akihiro On the classification of self-dual \([20,10,9]\) codes over \(\mathrm{GF}(7)\). (English) Zbl 1364.94608 Finite Fields Appl. 42, 57-66 (2016). MSC: 94B05 11T71 11E12 PDFBibTeX XMLCite \textit{M. Harada} and \textit{A. Munemasa}, Finite Fields Appl. 42, 57--66 (2016; Zbl 1364.94608) Full Text: DOI arXiv
Anbar, Nurdagül; Meidl, Wilfried Quadratic functions and maximal Artin-Schreier curves. (English) Zbl 1296.11074 Finite Fields Appl. 30, 49-71 (2014). MSC: 11G20 11E04 11T23 11T71 PDFBibTeX XMLCite \textit{N. Anbar} and \textit{W. Meidl}, Finite Fields Appl. 30, 49--71 (2014; Zbl 1296.11074) Full Text: DOI
Sun, Zhi-Wei Supercongruences involving products of two binomial coefficients. (English) Zbl 1331.11012 Finite Fields Appl. 22, 24-44 (2013). MSC: 11B65 11A07 11B39 11B68 11E25 12E20 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Finite Fields Appl. 22, 24--44 (2013; Zbl 1331.11012) Full Text: DOI arXiv
Özbudak, Ferruh; Saygı, Elif; Saygı, Zülfükar Quadratic forms of codimension 2 over finite fields containing \(\mathbb F_4\) and Artin-Schreier type curves. (English) Zbl 1280.11035 Finite Fields Appl. 18, No. 2, 396-433 (2012). Reviewer: Enric Nart Viñals (Barcelona) MSC: 11G20 11E04 94B27 PDFBibTeX XMLCite \textit{F. Özbudak} et al., Finite Fields Appl. 18, No. 2, 396--433 (2012; Zbl 1280.11035) Full Text: DOI
López-Díaz, M. C.; Rúa, I. F. Witt index for Galois ring valued quadratic forms. (English) Zbl 1200.11026 Finite Fields Appl. 16, No. 3, 175-186 (2010). Reviewer: Robert Fitzgerald (Carbondale) MSC: 11E81 11T06 11E12 PDFBibTeX XMLCite \textit{M. C. López-Díaz} and \textit{I. F. Rúa}, Finite Fields Appl. 16, No. 3, 175--186 (2010; Zbl 1200.11026) Full Text: DOI
Fitzgerald, Robert W. Invariants of trace forms over finite fields of characteristic 2. (English) Zbl 1225.11043 Finite Fields Appl. 15, No. 2, 261-275 (2009). Reviewer: Andrzej Sładek (Katowice) MSC: 11E04 11E81 11G20 PDFBibTeX XMLCite \textit{R. W. Fitzgerald}, Finite Fields Appl. 15, No. 2, 261--275 (2009; Zbl 1225.11043) Full Text: DOI Link
Fitzgerald, Robert W. Trace forms over finite fields of characteristic 2 with prescribed invariants. (English) Zbl 1254.11038 Finite Fields Appl. 15, No. 1, 69-81 (2009). MSC: 11E04 11T06 11G20 PDFBibTeX XMLCite \textit{R. W. Fitzgerald}, Finite Fields Appl. 15, No. 1, 69--81 (2009; Zbl 1254.11038) Full Text: DOI Link
López-Díaz, M. C.; Rúa, I. F. An invariant for quadratic forms valued in Galois rings of characteristic 4. (English) Zbl 1137.11024 Finite Fields Appl. 13, No. 4, 946-961 (2007). Reviewer: Marek Szyjewski (Katowice) MSC: 11E08 13H10 13M05 PDFBibTeX XMLCite \textit{M. C. López-Díaz} and \textit{I. F. Rúa}, Finite Fields Appl. 13, No. 4, 946--961 (2007; Zbl 1137.11024) Full Text: DOI
Fitzgerald, Robert W. Highly degenerate quadratic forms over \(\mathbb F_{2}\). (English) Zbl 1137.11026 Finite Fields Appl. 13, No. 4, 778-792 (2007). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E81 11G20 PDFBibTeX XMLCite \textit{R. W. Fitzgerald}, Finite Fields Appl. 13, No. 4, 778--792 (2007; Zbl 1137.11026) Full Text: DOI
Edoukou, Frédéric A. B. Codes defined by forms of degree 2 on Hermitian surfaces and Sørensen’s conjecture. (English) Zbl 1155.94022 Finite Fields Appl. 13, No. 3, 616-627 (2007). Reviewer: Luca Giuzzi (Brescia) MSC: 94B27 14G50 11E39 PDFBibTeX XMLCite \textit{F. A. B. Edoukou}, Finite Fields Appl. 13, No. 3, 616--627 (2007; Zbl 1155.94022) Full Text: DOI arXiv
Fitzgerald, Robert W. Highly degenerate quadratic forms over finite fields of characteristic 2. (English) Zbl 1140.11331 Finite Fields Appl. 11, No. 2, 165-181 (2005). MSC: 11E81 11G20 11T06 PDFBibTeX XMLCite \textit{R. W. Fitzgerald}, Finite Fields Appl. 11, No. 2, 165--181 (2005; Zbl 1140.11331) Full Text: DOI Link
Evans, Ronald Classical congruences for parameters in binary quadratic forms. (English) Zbl 0984.11052 Finite Fields Appl. 7, No. 1, 110-124 (2001). Reviewer: Veikko Ennola (Turku) MSC: 11R11 11E12 PDFBibTeX XMLCite \textit{R. Evans}, Finite Fields Appl. 7, No. 1, 110--124 (2001; Zbl 0984.11052) Full Text: DOI Link
Leep, David B.; Schueller, Laura Mann Zeros of a pair of quadratic forms defined over a finite field. (English) Zbl 0988.11014 Finite Fields Appl. 5, No. 2, 157-176 (1999). MSC: 11E12 11T30 PDFBibTeX XMLCite \textit{D. B. Leep} and \textit{L. M. Schueller}, Finite Fields Appl. 5, No. 2, 157--176 (1999; Zbl 0988.11014) Full Text: DOI
Williams, G. D. The number of pairs of quadratic forms over \(\mathbb{F}_q\) (\(q\) odd). (English) Zbl 0923.11061 Finite Fields Appl. 4, No. 1, 38-42 (1998). Reviewer: A.G.Earnest (Carbondale) MSC: 11E41 11E04 PDFBibTeX XMLCite \textit{G. D. Williams}, Finite Fields Appl. 4, No. 1, 38--42 (1998; Zbl 0923.11061) Full Text: DOI
Pless, Vera; Solé, Patrick; Qian, Zhongqiang Cyclic self-dual \(\mathbb Z_4\)-codes. (English) Zbl 1053.94573 Finite Fields Appl. 3, No. 1, 48-69 (1997). MSC: 94B15 11E12 11T71 PDFBibTeX XMLCite \textit{V. Pless} et al., Finite Fields Appl. 3, No. 1, 48--69 (1997; Zbl 1053.94573) Full Text: DOI
Wan, Zhexian Representations of forms by forms in a finite field. (English) Zbl 0851.11023 Finite Fields Appl. 1, No. 3, 297-325 (1995). Reviewer: T.Helleseth (Bergen) MSC: 11E25 11T99 11E39 PDFBibTeX XMLCite \textit{Z. Wan}, Finite Fields Appl. 1, No. 3, 297--325 (1995; Zbl 0851.11023) Full Text: DOI