This is my notes for a highly recommended book “QUANTUM COMPUTING: A Gentle Introduction” by Eleanor Rieffel and Wolfgang Polak. The colored blocks in this notes are my interpretations, questions and answers to the exercises.

If we have an elliptic curve(defined by $a$ and $b$), a prime($P$), an basepoint $G(x1,y1)$ and an order of this basepoint($N$), then we can choose a number(say $n$) and calculate $n*G$.
$n$ is sometimes called private key and $n*G$ is sometimes called public key.

An example

The above example has only 27 possible private keys($N-1=27$). It’s not safe. We need a large $N$, say

$N = 115792089237316195423570985008687907852837564279074904382605163141518161494337$

That’s the order of Bitcoin.

Other cool stuffs from Theme NexT Tag doc, Hexo Tag Plugins doc and GitHub Markdown doc.

Gist

{% gist gist_id [filename] %}
{% gist b4eb2aaa59af3fbdf1ae1f7ab979b6ae modular_inverse %}

Some cool stuffs from Theme NexT Tag doc, Hexo Tag Plugins doc and GitHub Markdown doc.

Note

{% note %}
#### Header
(without define class style)
{% endnote %}

{% note default %}
#### Default Header
Welcome to [Hexo!](https://hexo.io)
{% endnote %}

Some adjustment I’ve made.

Migrate files from Jekyll

Move all files in the Jekyll _posts folder to the source/_posts folder.
Modify the new_post_name setting in _config.yml:

1

new_post_name: :year-:month-:day-:title.md

Image align center

themes\next\source\css_schemes\Mist_posts-expanded.styl

1

.post-body img { margin: auto; }

More info: ref

This is a test file 😃
这是一个测试文件 😃

Now we’ve build our Hexo site on GitHub and seen Hexo’s “Hello World” post, it’s time to embed KaTeX.

Welcome to Hexo! This is Hexo’s default post. Check documentation for more info. If you get any problems when using Hexo, you can find the answer in troubleshooting or ask questions on GitHub.

KaTeX is the fastest math typesetting library for the web. Hexo is a fast, simple & powerful blog framework. KaTeX, Hexo and GitHub together is a good choice for those who want to build a Blog and write some equations on his/her posts. Before embed KaTeX, let’s build Hexo on GitHub.

Why Hexo?

At first I used Jekyll 3.8.5 and built a blog on GitHub. There are a lot of equations in my post, so I also used Jekyll-Katex 0.3.0, a Jekyll plugin for easy server-side math rendering via KaTeX. Everything works fine on my local machine. But when I pushed it to GitHub, I got this: “Your site is having problems building: The tag Katexmm on line 11 in _posts/2019-01-22-ECDSA-and-Bitcoin-I.md is not a recognized Liquid tag.”
I tried Netlify and Cloudcannon, as suggested by ashmaroli on StackOverflow, and failed again. Did I Choose the Right Static Generator? I asked myself. So I decided to try Hexo.