Frey, Gerhard Relations between arithmetic geometry and public key cryptography. (English) Zbl 1225.11149 Adv. Math. Commun. 4, No. 2, 281-305 (2010). MSC: 11R65 11G20 11R37 14G50 94A60 PDFBibTeX XMLCite \textit{G. Frey}, Adv. Math. Commun. 4, No. 2, 281--305 (2010; Zbl 1225.11149) Full Text: DOI
Avanzi, Roberto; Jacobson, Michael J. jun.; Scheidler, Renate Efficient reduction of large divisors on hyperelliptic curves. (English) Zbl 1225.14049 Adv. Math. Commun. 4, No. 2, 261-279 (2010). MSC: 14Q05 11G20 11Y65 14G50 14H40 PDFBibTeX XMLCite \textit{R. Avanzi} et al., Adv. Math. Commun. 4, No. 2, 261--279 (2010; Zbl 1225.14049) Full Text: DOI
Imbert, Laurent; Jacobson, Michael J. jun.; Schmidt, Arthur Fast ideal cubing in imaginary quadratic number and function fields. (English) Zbl 1213.94110 Adv. Math. Commun. 4, No. 2, 237-260 (2010). MSC: 94A60 14H45 14Q05 PDFBibTeX XMLCite \textit{L. Imbert} et al., Adv. Math. Commun. 4, No. 2, 237--260 (2010; Zbl 1213.94110) Full Text: DOI
Stolbunov, Anton Constructing public-key cryptographic schemes based on class group action on a set of isogenous elliptic curves. (English) Zbl 1213.94136 Adv. Math. Commun. 4, No. 2, 215-235 (2010). MSC: 94A60 14G50 PDFBibTeX XMLCite \textit{A. Stolbunov}, Adv. Math. Commun. 4, No. 2, 215--235 (2010; Zbl 1213.94136) Full Text: DOI
Avanzi, Roberto; Thériault, Nicolas A filtering method for the hyperelliptic curve index calculus and its analysis. (English) Zbl 1213.94080 Adv. Math. Commun. 4, No. 2, 189-213 (2010). MSC: 94A60 14G50 11T71 PDFBibTeX XMLCite \textit{R. Avanzi} and \textit{N. Thériault}, Adv. Math. Commun. 4, No. 2, 189--213 (2010; Zbl 1213.94080) Full Text: DOI
Aranha, Diego F.; Dahab, Ricardo; López, Julio; Oliveira, Leonardo B. Efficient implementation of elliptic curve cryptography in wireless sensors. (English) Zbl 1225.94014 Adv. Math. Commun. 4, No. 2, 169-187 (2010). MSC: 94A60 14G50 94A12 PDFBibTeX XMLCite \textit{D. F. Aranha} et al., Adv. Math. Commun. 4, No. 2, 169--187 (2010; Zbl 1225.94014) Full Text: DOI
Miret, Josep M.; Pujolàs, Jordi; Rio, Anna Explicit 2-power torsion of genus 2 curves over finite fields. (English) Zbl 1225.11086 Adv. Math. Commun. 4, No. 2, 155-168 (2010). Reviewer: Kenneth Ward (Stillwater) MSC: 11G20 14H40 PDFBibTeX XMLCite \textit{J. M. Miret} et al., Adv. Math. Commun. 4, No. 2, 155--168 (2010; Zbl 1225.11086) Full Text: DOI
Biasse, Jean-François Improvements in the computation of ideal class groups of imaginary quadratic number fields. (English) Zbl 1257.11108 Adv. Math. Commun. 4, No. 2, 141-154 (2010). Reviewer: Michael J. Jacobson jun. (Calgary) MSC: 11Y40 11R29 11R11 PDFBibTeX XMLCite \textit{J.-F. Biasse}, Adv. Math. Commun. 4, No. 2, 141--154 (2010; Zbl 1257.11108) Full Text: DOI arXiv
Abarzúa, Rodrigo; Thériault, Nicolas; Avanzi, Roberto; Soto, Ismael; Alfaro, Miguel Optimization of the arithmetic of the ideal class group for genus 4 hyperelliptic curves over projective coordinates. (English) Zbl 1218.94039 Adv. Math. Commun. 4, No. 2, 115-139 (2010). MSC: 94A60 11T71 14H52 PDFBibTeX XMLCite \textit{R. Abarzúa} et al., Adv. Math. Commun. 4, No. 2, 115--139 (2010; Zbl 1218.94039) Full Text: DOI
Silverman, Joseph H. Local-global aspects of (hyper)elliptic curves over (in)finite fields. (English) Zbl 1233.11063 Adv. Math. Commun. 4, No. 2, 101-114 (2010). Reviewer: Andrew Obus (Bonn) MSC: 11G05 11G35 PDFBibTeX XMLCite \textit{J. H. Silverman}, Adv. Math. Commun. 4, No. 2, 101--114 (2010; Zbl 1233.11063) Full Text: DOI
Special issue: Selected papers based on the presentations at the conference on hyperbolic curves, discrete logarithms, encryption, etc. (CHiLE 2009), Frutillar, Chile, March 16–20, 2009. (English) Zbl 1217.11001 Adv. Math. Commun. 4, No. 2, ii, 101-305 (2010). MSC: 11-06 94-06 00B25 11G05 11T71 94A60 PDFBibTeX XML