ba-project

This repository contains the project for my bachelor thesis.

Summary

This is an implementation of the modified coppersmith attack on CRT-RSA with small decoding-exponents by Takayasu, Lu and Peng (Link to their paper).

This implemtation of the attack if for educational purposes only! Please bear in mind that this project is still unfinished!

Requirements

• sagemath 8.1
• Python 2.7
• Python 2.7 modules:
  • colorama
  • crypto
  • time
  • datetime

Further tasks

• code capsulation for loops
• better tests and plots
• more object orientated programming
• parameter check
• d in [dp,dq]: disp. hamming weight
• convert to pure python
• sanity checks
• N^delta for big N
• dp == dq
• solver timing + single timings
• lattice as csv(reduced/unreduced)
• lattice as heatmap
• optimize matrix
• optimize polynomials
• optimize bound
• code clean up and more readability

Usage

usage: ./main.sage [-h] [-s S] [-d D] [-m M] [-t T] [--debug] [--print]
                   [--json] [--deltagen]

optional arguments:
  -h, --help  show this help message and exit
  -s S        bit size of N [default=1024]
  -d D        delta [default=0.010]
  -m M        m [default=8]
  -t T        tau [default=0.75]
  --debug     Print debug messages
  --print     Print the matrix to tech
  --json      JSON output
  --deltagen  Generate table with theoretical deltas

Usage with docker

Run docker-compose up.

If you want to modify the parameters, check out the ./docker-compose.yml.