defeo / mathematicsofibc Goto Github PK
View Code? Open in Web Editor NEWLecture notes on the Foundations of Isogeny-based Cryptography
Home Page: https://arxiv.org/abs/1711.04062
License: Other
Lecture notes on the Foundations of Isogeny-based Cryptography
Home Page: https://arxiv.org/abs/1711.04062
License: Other
# Isogeny Graphs in Cryptography These lectures notes were written for the summer school on *Graph Theory Meets Cryptography* in Würzburg, Germany, in July 2019. Their goal is to survey the mathematical background of isogeny-based cryptography, a blossoming new field with applications to post-quantum cryptography and blockchains. They are by no means a reference text on the theory of elliptic curves, nor on cryptography; readers are encouraged to complement these notes with the references given in the bibliography.
make
(and manual comilation with pdflatex
) gives the error message
! Undefined control sequence.
<argument> \bbl@ini@loaded
l.3188 \end{document}
Versions:
Latexmk, John Collins, 29 September 2020. Version 4.70b
$ pdflatex --version
MiKTeX-pdfTeX 2.9.7338 (1.40.21) (MiKTeX 2.9.7380 64-bit)
Copyright (C) 1982 D. E. Knuth, (C) 1996-2020 Han The Thanh
TeX is a trademark of the American Mathematical Society.
using bzip2 version 1.0.6, 6-Sept-2010
compiled with curl version 7.61.1; using libcurl/7.61.1 WinSSL
compiled with expat version 2.2.6; using expat_2.2.6
compiled with jpeg version 9.3
compiled with liblzma version 50020042; using 50020042
compiled with libpng version 1.6.37; using 1.6.37
compiled with libressl version LibreSSL 2.8.2; using LibreSSL 2.8.2
compiled with MiKTeX Application Framework version 4.7348; using 4.7348
compiled with MiKTeX Core version 16.7375; using 16.7375
compiled with MiKTeX Archive Extractor version 1.6882; using 1.6882
compiled with MiKTeX Package Manager version 9.7364; using 9.7364
compiled with poppler version 0.60.1
compiled with uriparser version 0.9.2
compiled with zlib version 1.2.11; using 1.2.11
Hello!
A Colleague and I found a possible typo in the velu formula and pinpointed it down to this line:
https://github.com/defeo/ema2017/blob/28d39639ce597e1a94a40fa58388347121967875/poly.tex#L1595
where instead of + b
it should say + 2b
.
Do you agree, and would you want a PR to fix it in case we did not make a mistake?
I'm looking at the "автореферат" of Rostovtsev (2002),
"Теоретическая криптография" book by Rostovtsev and Makhovenko (2004), and
"автореферат" of Aleksandrova-Makhovenko (2016).
It is clear that sources above are challenging to read, still this might serve as an indicator of progress with isogenies done in Russia.
A declarative, efficient, and flexible JavaScript library for building user interfaces.
🖖 Vue.js is a progressive, incrementally-adoptable JavaScript framework for building UI on the web.
TypeScript is a superset of JavaScript that compiles to clean JavaScript output.
An Open Source Machine Learning Framework for Everyone
The Web framework for perfectionists with deadlines.
A PHP framework for web artisans
Bring data to life with SVG, Canvas and HTML. 📊📈🎉
JavaScript (JS) is a lightweight interpreted programming language with first-class functions.
Some thing interesting about web. New door for the world.
A server is a program made to process requests and deliver data to clients.
Machine learning is a way of modeling and interpreting data that allows a piece of software to respond intelligently.
Some thing interesting about visualization, use data art
Some thing interesting about game, make everyone happy.
We are working to build community through open source technology. NB: members must have two-factor auth.
Open source projects and samples from Microsoft.
Google ❤️ Open Source for everyone.
Alibaba Open Source for everyone
Data-Driven Documents codes.
China tencent open source team.