Oliveira, Thomaz; López, Julio; Cervantes-Vázquez, Daniel; Rodríguez-Henríquez, Francisco Koblitz curves over quadratic fields. (English) Zbl 1466.94034 J. Cryptology 32, No. 3, 867-894 (2019). MSC: 94A60 11T71 14G50 PDF BibTeX XML Cite \textit{T. Oliveira} et al., J. Cryptology 32, No. 3, 867--894 (2019; Zbl 1466.94034) Full Text: DOI OpenURL
Krenn, Daniel; Ziegler, Volker Non-minimality of the width-\(w\) non-adjacent form in conjunction with trace one \(\tau\)-adic digit expansions and Koblitz curves in characteristic two. (English) Zbl 1432.11011 Math. Comput. 87, No. 310, 821-854 (2018). MSC: 11A63 11D75 11Y50 11H06 11J86 PDF BibTeX XML Cite \textit{D. Krenn} and \textit{V. Ziegler}, Math. Comput. 87, No. 310, 821--854 (2018; Zbl 1432.11011) Full Text: DOI arXiv OpenURL
Mazzoli, M. Non-commutative digit expansions for arithmetic on supersingular elliptic curves. (English) Zbl 1389.11021 Acta Math. Hung. 149, No. 1, 149-159 (2016). Reviewer: Florian Luca (Morelia) MSC: 11A63 14H52 PDF BibTeX XML Cite \textit{M. Mazzoli}, Acta Math. Hung. 149, No. 1, 149--159 (2016; Zbl 1389.11021) Full Text: DOI OpenURL
Budhathoki, Parshuram; Steinwandt, Rainer Automatic synthesis of quantum circuits for point addition on ordinary binary elliptic curves. (English) Zbl 1311.81075 Quantum Inf. Process. 14, No. 1, 201-216 (2015). MSC: 81P68 68Q12 11A51 PDF BibTeX XML Cite \textit{P. Budhathoki} and \textit{R. Steinwandt}, Quantum Inf. Process. 14, No. 1, 201--216 (2015; Zbl 1311.81075) Full Text: DOI arXiv OpenURL
Heuberger, Clemens; Mazzoli, Michela Symmetric digit sets for elliptic curve scalar multiplication without precomputation. (English) Zbl 1416.11170 Theor. Comput. Sci. 547, 18-33 (2014). MSC: 11T71 68W40 PDF BibTeX XML Cite \textit{C. Heuberger} and \textit{M. Mazzoli}, Theor. Comput. Sci. 547, 18--33 (2014; Zbl 1416.11170) Full Text: DOI OpenURL
Heuberger, C.; Krenn, D. Existence and optimality of \(w\)-non-adjacent forms with an algebraic integer base. (English) Zbl 1289.11004 Acta Math. Hung. 140, No. 1-2, 90-104 (2013). Reviewer: Richard A. Mollin (Calgary) MSC: 11A63 11H06 11R04 94A60 PDF BibTeX XML Cite \textit{C. Heuberger} and \textit{D. Krenn}, Acta Math. Hung. 140, No. 1--2, 90--104 (2013; Zbl 1289.11004) Full Text: DOI arXiv OpenURL
Heuberger, Clemens; Krenn, Daniel Optimality of the width-\(w\) non-adjacent form: general characterisation and the case of imaginary quadratic bases. (English. French summary) Zbl 1282.11005 J. Théor. Nombres Bordx. 25, No. 2, 353-386 (2013). MSC: 11A63 94A60 11R04 14G50 PDF BibTeX XML Cite \textit{C. Heuberger} and \textit{D. Krenn}, J. Théor. Nombres Bordx. 25, No. 2, 353--386 (2013; Zbl 1282.11005) Full Text: DOI arXiv OpenURL
Krenn, Daniel Analysis of the width-\(w\) non-adjacent form in conjunction with hyperelliptic curve cryptography and with lattices. (English) Zbl 1347.11010 Theor. Comput. Sci. 491, 47-70 (2013). MSC: 11A63 11T71 94A60 14G50 PDF BibTeX XML Cite \textit{D. Krenn}, Theor. Comput. Sci. 491, 47--70 (2013; Zbl 1347.11010) Full Text: DOI arXiv OpenURL
Heuberger, Clemens; Krenn, Daniel Analysis of width-\(w\) non-adjacent forms to imaginary quadratic bases. (English) Zbl 1300.11013 J. Number Theory 133, No. 5, 1752-1808 (2013). Reviewer: Volker Ziegler (Salzburg) MSC: 11A63 11T71 28A80 94A60 PDF BibTeX XML Cite \textit{C. Heuberger} and \textit{D. Krenn}, J. Number Theory 133, No. 5, 1752--1808 (2013; Zbl 1300.11013) Full Text: DOI arXiv OpenURL
Avanzi, Roberto; Benits, Waldyr Dias jun.; Galbraith, Steven D.; McKee, James On the distribution of the coefficients of normal forms for Frobenius expansions. (English) Zbl 1261.11089 Des. Codes Cryptography 61, No. 1, 71-89 (2011). MSC: 11T71 14G50 PDF BibTeX XML Cite \textit{R. Avanzi} et al., Des. Codes Cryptography 61, No. 1, 71--89 (2011; Zbl 1261.11089) Full Text: DOI OpenURL
Heuberger, Clemens Redundant \(\tau \)-adic expansions. II: Non-optimality and chaotic behaviour. (English) Zbl 1205.11014 Math. Comput. Sci. 3, No. 2, 141-157 (2010). MSC: 11A63 68W30 68Q45 94A60 PDF BibTeX XML Cite \textit{C. Heuberger}, Math. Comput. Sci. 3, No. 2, 141--157 (2010; Zbl 1205.11014) Full Text: DOI OpenURL
Cheon, Jung Hee; Kim, Hong Tae Analysis of low Hamming weight products. (English) Zbl 1209.94037 Discrete Appl. Math. 156, No. 12, 2264-2269 (2008). MSC: 94A60 11T71 68P25 PDF BibTeX XML Cite \textit{J. H. Cheon} and \textit{H. T. Kim}, Discrete Appl. Math. 156, No. 12, 2264--2269 (2008; Zbl 1209.94037) Full Text: DOI OpenURL
Lange, Tanja Koblitz curve cryptosystems. (English) Zbl 1073.94013 Finite Fields Appl. 11, No. 2, 200-229 (2005). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 94A60 11T71 14G50 11Y16 PDF BibTeX XML Cite \textit{T. Lange}, Finite Fields Appl. 11, No. 2, 200--229 (2005; Zbl 1073.94013) Full Text: DOI OpenURL
Gallant, Robert; Lambert, Robert; Vanstone, Scott Improving the parallelized Pollard lambda search on anomalous binary curves. (English) Zbl 1101.14325 Math. Comput. 69, No. 232, 1699-1705 (2000). MSC: 14Q05 14G50 94A60 11Y16 PDF BibTeX XML Cite \textit{R. Gallant} et al., Math. Comput. 69, No. 232, 1699--1705 (2000; Zbl 1101.14325) Full Text: DOI OpenURL