Koziel, Brian; Azarderakhsh, Reza; Mozaffari-Kermani, Mehran Low-resource and fast binary Edwards curves cryptography. (English) Zbl 1377.94058 Biryukov, Alex (ed.) et al., Progress in cryptology – INDOCRYPT 2015. 16th international conference on cryptology in India, Bangalore, India, December 6–9, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-26616-9/pbk; 978-3-319-26617-6/ebook). Lecture Notes in Computer Science 9462, 347-369 (2015). MSC: 94A60 14G50 PDF BibTeX XML Cite \textit{B. Koziel} et al., Lect. Notes Comput. Sci. 9462, 347--369 (2015; Zbl 1377.94058) Full Text: DOI
Mishra, Alok; Sharma, Rajendra Kumar; Shukla, Wagish On the complexity of the dual bases of the Gaussian normal bases. (English) Zbl 1356.11088 Algebra Colloq. 22, Spec. Iss. 1, 909-922 (2015). MSC: 11T30 12E20 PDF BibTeX XML Cite \textit{A. Mishra} et al., Algebra Colloq. 22, 909--922 (2015; Zbl 1356.11088) Full Text: DOI
Li, Bo; Liao, Qunying The dual basis and multiplication table of the type \(k\)-Gaussian normal basis over finite fields. (Chinese. English summary) Zbl 1313.11134 J. Sichuan Norm. Univ., Nat. Sci. 36, No. 6, 824-829 (2013). MSC: 11T30 12E20 PDF BibTeX XML Cite \textit{B. Li} and \textit{Q. Liao}, J. Sichuan Norm. Univ., Nat. Sci. 36, No. 6, 824--829 (2013; Zbl 1313.11134) Full Text: DOI
Jónsdóttir, Kristjana Ýr; Rønn-Nielsen, Anders; Mouridsen, Kim; Jensen, Eva B. Vedel Lévy-based modelling in brain imaging. (English) Zbl 1364.62261 Scand. J. Stat. 40, No. 3, 511-529 (2013). MSC: 62P10 92C55 62M40 PDF BibTeX XML Cite \textit{K. Ý. Jónsdóttir} et al., Scand. J. Stat. 40, No. 3, 511--529 (2013; Zbl 1364.62261) Full Text: DOI
Muchtadi-Alamsyah, I.; Yuliawan, F.; Muchlis, A. Finite field basis conversion and normal basis in characteristic three. (English) Zbl 1259.68010 Hemakul, Wanida (ed.) et al., Proceedings of the international conference on algebra 2010: advances in algebraic structures, Yogjakarta, Indonesia, October 7–10, 2010. Dedicated to Shum Kar-Ping on the occasion of his 70th birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4366-30-4/hbk; 978-981-4366-31-1/ebook). 439-447 (2012). MSC: 68M07 12E20 94A60 PDF BibTeX XML Cite \textit{I. Muchtadi-Alamsyah} et al., in: Proceedings of the international conference on algebra 2010: advances in algebraic structures, Yogjakarta, Indonesia, October 7--10, 2010. Dedicated to Shum Kar-Ping on the occasion of his 70th birthday. Hackensack, NJ: World Scientific. 439--447 (2012; Zbl 1259.68010) Full Text: DOI
Li, Jun; Huang, Qin; Li, Bo; Liao, Qunying The type \(k\)-Gaussian normal bases over finite fields and their dual bases. (Chinese. English summary) Zbl 1240.11137 J. Sichuan Norm. Univ., Nat. Sci. 34, No. 3, 289-295 (2011). MSC: 11T30 11Y16 12E20 PDF BibTeX XML Cite \textit{J. Li} et al., J. Sichuan Norm. Univ., Nat. Sci. 34, No. 3, 289--295 (2011; Zbl 1240.11137) Full Text: DOI
Liao, Qunying; Su, Dandan; Fu, Ping The type 2 Gaussian normal basis and its dual basis over finite fields. (English) Zbl 1240.11139 J. Sichuan Univ., Nat. Sci. Ed. 47, No. 6, 1221-1224 (2010). MSC: 11T30 12E20 PDF BibTeX XML Cite \textit{Q. Liao} et al., J. Sichuan Univ., Nat. Sci. Ed. 47, No. 6, 1221--1224 (2010; Zbl 1240.11139) Full Text: DOI
Azarderakhsh, Reza; Reyhani-Masoleh, Arash A modified low complexity digit-level Gaussian normal basis multiplier. (English) Zbl 1231.68033 Hasan, M. Anwar (ed.) et al., Arithmetic of finite fields. Third international workshop, WAIFI 2010, Istanbul, Turkey, June 27–30, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-13796-9/pbk). Lecture Notes in Computer Science 6087, 25-40 (2010). MSC: 68M07 94A62 11T71 68W30 PDF BibTeX XML Cite \textit{R. Azarderakhsh} and \textit{A. Reyhani-Masoleh}, Lect. Notes Comput. Sci. 6087, 25--40 (2010; Zbl 1231.68033) Full Text: DOI
Gockenbach, Mark S. Finite-dimensional linear algebra. (English) Zbl 1202.15002 Discrete Mathematics and its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-4398-1563-2/hbk). xxi, 650 p. (2010). Reviewer: Rabe von Randow (Bonn) MSC: 15-01 65Fxx 05C50 41A55 90C05 34A30 65D05 PDF BibTeX XML Cite \textit{M. S. Gockenbach}, Finite-dimensional linear algebra. Boca Raton, FL: CRC Press (2010; Zbl 1202.15002)
Horng, Jenn-Shyong; Jou, I-Chang; Lee, Chiou-Yng Low-complexity multiplexer-based normal basis multiplier over \(GF(2^m)\). (English) Zbl 1185.68314 J. Zhejiang Univ., Sci. A 10, No. 6, 834-842 (2009). MSC: 68P25 PDF BibTeX XML Cite \textit{J.-S. Horng} et al., J. Zhejiang Univ., Sci. A 10, No. 6, 834--842 (2009; Zbl 1185.68314) Full Text: DOI
Kim, Yongtae Efficient parallel Gaussian normal bases multipliers over finite fields. (English) Zbl 1266.11130 Honam Math. J. 29, No. 3, 415-425 (2007). MSC: 11T71 94A60 PDF BibTeX XML Cite \textit{Y. Kim}, Honam Math. J. 29, No. 3, 415--425 (2007; Zbl 1266.11130) Full Text: DOI
Olver, Peter J.; Shakiban, Chehrzad Applied linear algebra. (English) Zbl 1076.15001 Upper Saddle River, NJ: Pearson/Prentice Hall (ISBN 0-13-147382-4/hbk). xxii, 714 p. (2006). Reviewer: Frank Uhlig (Auburn) MSC: 15-01 34-01 65-01 PDF BibTeX XML Cite \textit{P. J. Olver} and \textit{C. Shakiban}, Applied linear algebra. Upper Saddle River, NJ: Pearson/Prentice Hall (2006; Zbl 1076.15001)
Kim, Chang Han; Kim, Yongtae; Chang, Nam Su; Park, IlWhan Modified serial multipliers for type-IV Gaussian normal bases. (English) Zbl 1153.94401 Maitra, Subhamoy (ed.) et al., Progress in cryptology – INDOCRYPT 2005. 6th international conference on cryptology in India, Bangalore, India, December 10–12, 2005, Proceedings. Berlin: Springer (ISBN 978-3-540-30805-8/pbk). Lecture Notes in Computer Science 3797, 375-388 (2005). MSC: 94A60 12E20 14G50 PDF BibTeX XML Cite \textit{C. H. Kim} et al., Lect. Notes Comput. Sci. 3797, 375--388 (2005; Zbl 1153.94401) Full Text: DOI
Kwon, Soonhak; Gaj, Kris; Kim, Chang Hoon; Hong, Chun Pyo Efficient linear array for multiplication in GF\((2^{m})\) using a normal basis for elliptic curve cryptography. (English) Zbl 1104.68482 Joye, Marc (ed.) et al., Cryptographic hardware and embedded systems – CHES 2004. 6th international workshop, Cambridge, MA, USA, August 11–13, 2004. Proceedings. Berlin: Springer (ISBN 3-540-22666-4/pbk). Lecture Notes in Computer Science 3156, 76-91 (2004). MSC: 68P25 94A60 PDF BibTeX XML Cite \textit{S. Kwon} et al., Lect. Notes Comput. Sci. 3156, 76--91 (2004; Zbl 1104.68482) Full Text: DOI
Park, Je Hong; Park, Jung Youl; Hahn, Sang Geun Elliptic curve point counting over finite fields with Gaussian normal basis. (English) Zbl 1114.11057 Proc. Japan Acad., Ser. A 79, No. 1, 5-8 (2003). Reviewer: Tanja Lange (Eindhoven) MSC: 11G20 11G07 11T71 PDF BibTeX XML Cite \textit{J. H. Park} et al., Proc. Japan Acad., Ser. A 79, No. 1, 5--8 (2003; Zbl 1114.11057) Full Text: DOI Euclid
Kim, Hae Young; Park, Jung Youl; Cheon, Jung Hee; Park, Je Hong; Kim, Jae Heon; Hahn, Sang Geun Fast elliptic curve point counting using Gaussian normal basis. (English) Zbl 1058.11075 Fieker, Claus (ed.) et al., Algorithmic number theory. 5th international symposium, ANTS-V, Sydney, Australia, July 7–12, 2002. Proceedings. Berlin: Springer (ISBN 3-540-43863-7). Lect. Notes Comput. Sci. 2369, 292-307 (2002). MSC: 11Y16 11G20 12Y05 PDF BibTeX XML Cite \textit{H. Y. Kim} et al., Lect. Notes Comput. Sci. 2369, 292--307 (2002; Zbl 1058.11075) Full Text: Link