Travis tscholl2

## ec.svg

      
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                tscholl2
                / ec.svg
            
            
              Last active
              July 13, 2023 11:15
            
              
                plot of adding points on an elliptic curve
              
          
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## grade scalar

<!DOCTYPE html>
<head>
  <script type="text/javascript">
    const grades = [
      "A+",
      "A",
      "A-",
      "B+",
      "B",

## index.html
<!DOCTYPE html>
<html>
  <head>
    <meta charset="UTF-8" />
    <meta name="viewport" content="width=device-width, initial-scale=1" />
    <title>Latex to Unicode</title>
    <link
      rel="stylesheet"
      href="//fonts.googleapis.com/css?family=Roboto:300,300italic,700,700italic"
    />

## template.tex
\documentclass{article}
\usepackage{amsmath,amssymb,amsthm,amsfonts}
\usepackage{xcolor}

\newcommand{\public}[1]{\textcolor[rgb]{0.024,0.408,0.024}{#1}}
\newcommand{\private}[1]{\textcolor[rgb]{0.661,0.035,0.035}{#1}}

\newcommand{\FF}{\mathbb{F}}
\newcommand{\QQ}{\mathbb{Q}}
\newcommand{\ZZ}{\mathbb{Z}}

## Curve25519.sage
# Curve25519
p = 2^255 - 19
N = 8*(2^252 + 27742317777372353535851937790883648493)
E = EllipticCurve(GF(p),[0,486662,0,1,0])
G = E.lift_x(9)
assert E.count_points() == N
assert G.order() == N/8

## letter.tex
\documentclass[12pt]{letter}

\date{\today}

\signature{FROMWHO???}

\address{
  FROMWHERE??? \\
  {\tt CONTACTEMAIL???}
}

## turing-machine.ts
const enum Direction {
  L = 0,
  R = 1,
}
const enum Alphabet {
  A = 0,
  B = 1,
}
type StateOutput = [
  Alphabet, // write

## linear-algebra.c
#include "linear-algebra.h"

#define mat_val(i, j) A[i * m + j]
#define swap_values(a, b) t = b, b = a, a = t
#define swap_rows(_i1, _i2)     \
    for (int k = 0; k < m; k++) \
        swap_values(mat_val(_i1, k), mat_val(_i2, k));

int solve(Element *A, Element *b, int n, int m, Element *x)
{

## sha256.js
/**
 * Given a sting s, return the SHA-256 digest of s
 * (encoded as a UTF-16-LE byte array) in hex form.
 * @param {string} s
 * @returns {string}
 *
 * python -c 'import hashlib; print(hashlib.sha256("a🐦".encode("utf-16-le")).hexdigest())'
 * 49f1ecba591ec4ae7a049570bd21b97dc77d42659f3fbe70a34a8f02ebacee17
 *
 * python -c 'import hashlib; print(hashlib.sha256("$€𐐷𤭢".encode("utf-16-le")).hexdigest())'

## cm_method.sage
def cm_method(q,t):
    """
    Given a prime power q and integer t with |t| <= 2sqrt(q),
    returns an Elliptic curve over GF(q) with q + 1 - t points.
    """
    n = q + 1 - t
    d = t^2 - 4*q
    K = QuadraticField(d)
    j = K.hilbert_class_polynomial().any_root()
    E = EllipticCurve_from_j(GF(q)(j))

	<!DOCTYPE html>
	<head>
	<script type="text/javascript">
	const grades = [
	"A+",
	"A",
	"A-",
	"B+",
	"B",
	<!DOCTYPE html>
	<html>
	<head>
	<meta charset="UTF-8" />
	<meta name="viewport" content="width=device-width, initial-scale=1" />
	<title>Latex to Unicode</title>
	<link
	rel="stylesheet"
	href="//fonts.googleapis.com/css?family=Roboto:300,300italic,700,700italic"
	/>
	\documentclass{article}
	\usepackage{amsmath,amssymb,amsthm,amsfonts}
	\usepackage{xcolor}

	\newcommand{\public}[1]{\textcolor[rgb]{0.024,0.408,0.024}{#1}}
	\newcommand{\private}[1]{\textcolor[rgb]{0.661,0.035,0.035}{#1}}

	\newcommand{\FF}{\mathbb{F}}
	\newcommand{\QQ}{\mathbb{Q}}
	\newcommand{\ZZ}{\mathbb{Z}}
	# Curve25519
	p = 2^255 - 19
	N = 8*(2^252 + 27742317777372353535851937790883648493)
	E = EllipticCurve(GF(p),[0,486662,0,1,0])
	G = E.lift_x(9)
	assert E.count_points() == N
	assert G.order() == N/8
	\documentclass[12pt]{letter}

	\date{\today}

	\signature{FROMWHO???}

	\address{
	FROMWHERE??? \\
	{\tt CONTACTEMAIL???}
	}
	const enum Direction {
	L = 0,
	R = 1,
	}
	const enum Alphabet {
	A = 0,
	B = 1,
	}
	type StateOutput = [
	Alphabet, // write
	#include "linear-algebra.h"

	#define mat_val(i, j) A[i * m + j]
	#define swap_values(a, b) t = b, b = a, a = t
	#define swap_rows(_i1, _i2) \
	for (int k = 0; k < m; k++) \
	swap_values(mat_val(_i1, k), mat_val(_i2, k));

	int solve(Element A, Element b, int n, int m, Element *x)
	{
	/**
	* Given a sting s, return the SHA-256 digest of s
	* (encoded as a UTF-16-LE byte array) in hex form.
	* @param {string} s
	* @returns {string}
	*
	* python -c 'import hashlib; print(hashlib.sha256("a🐦".encode("utf-16-le")).hexdigest())'
	* 49f1ecba591ec4ae7a049570bd21b97dc77d42659f3fbe70a34a8f02ebacee17
	*
	* python -c 'import hashlib; print(hashlib.sha256("$€𐐷𤭢".encode("utf-16-le")).hexdigest())'
	def cm_method(q,t):
	"""
	Given a prime power q and integer t with \|t\| <= 2sqrt(q),
	returns an Elliptic curve over GF(q) with q + 1 - t points.
	"""
	n = q + 1 - t
	d = t^2 - 4*q
	K = QuadraticField(d)
	j = K.hilbert_class_polynomial().any_root()
	E = EllipticCurve_from_j(GF(q)(j))