pygfssss 1.0.1

Python implementation of Shamir's Secret Sharing Scheme, using polynomials over GF(256)

Overview

pygfssss is a Python 3 implementation of Shamir's Secret Sharing Scheme, using polynomials over GF(256).

Shamir's Secret Sharing can be used to split a secret into multiple shares. A specified threshold amount of shares can be used to reconstruct the original secret.

Having less than the threshold amount of shares doesn't provide any information on the secret (aside of its size).

Origins

pygfssss is heavily based on Mathias Herberts' PySSSS (https://github.com/hbs/PySSSS), extended with the following features -

• Python 3 (only) support.
• Single X value used per share - for all bytes (instead of a different X value for every byte).
• Code simplified and clarified somewhat.
• Command line tool (pygfssss) provided.
• Compatibility with gfshare - using 0x11d prime polynomial, pygfsplit/pygfcombine command line tools provided.
• Unit tests coverage.

Installation

pygfssss is provided as a standard Python package. It can be installed with standard Python tools.

For example, Linux installation in a virtualenv from PyPI -

python -m virtualenv venv
venv/bin/python -m pip install --upgrade pygfssss

Or, directly from GitHub -

python -m virtualenv venv
venv/bin/python -m pip install --upgrade git+https://github.com/trianglee/pygfssss

pygfssss runs on Linux and Windows.

pygfssss Command Line Tool

pygfssss can be used to split and combine.

To split secret.txt into 5 shares, where any 3 are needed to reconstruct -

cat secret.txt | venv/bin/pygfssss split 3 5

(each output line is a different share).

To combine some of these shares back into the secret -

cat share1.txt share3.txt share5.txt | venv/bin/pygfssss combine

(if an insufficient number of shares is provided, the output would be random).

gfshare Compatibility

gfshare is a de-facto standard of Shamir's Secret Sharing Scheme for Linux.

pygfsplit and pygfcombine of pygfssss are compatible with gfsplit and gfcombine of gfshare. Shares generated by gfsplit can be combined using pygfcombine and shares generated by pygfsplit can be combined using gfcombine.

This cross-compatibility allows users of both packages to know they have a reliable alternative implementation from a different source.

pygfssss command line tool generated shares are not directly compatible with gfshare, but it is trivial to convert them to be gfshare shares manually if needed -

1. The first byte (two digits) of each share is the file extension (in decimal format).
2. The rest of the bytes are the contents (in binary representation).

The following bash script can convert a set of pygfssss shares to a set of gfshare shares -

cat shares.txt |                                                             
while read in; do                                                            
  # Get share number from first two digits.                                  
  SHARE_NUM_HEX=$(echo "$in" | cut -c1-2)                                    
  # Convert it to decimal.                                                   
  SHARE_NUM_DEC=$((16#$SHARE_NUM_HEX))                                       
  # Pad with leading zeros.                                                  
  SHARE_NUM=$(printf "%03d" $SHARE_NUM_DEC)                                  
  # Convert the rest of the share bytes to binary and write to share file.   
  echo "$in" | cut -c3- | xxd -r -p > share.$SHARE_NUM                       
done                                                                         

License

pygfssss is released under the Apache License, Version 2.