mathematical Python classes
Classes implementing
- finite fields (ffield.py)
- Z_m finite rings (fring.py)
- rationals: real, complex, quaternion (rational.py)
- quaternions (quaternion.py)
- binary matrices and matrices over any ring (matrix.py)
- single-variable polynomials and rational functions with coefficients in any field (poly.py)
- undirected graphs (graph.py)
- bitstrings (bitstrings.py)
Support modules:
- conversions.py: utilities for Python 2 and 3 compatibility
- numfuns.py: assorted numerical functions
- ffpoly.py: functions to enumerate irreducible polynomials mod p
Demonstration modules:
- bch.py: create BCH codes using the classes
- share.py: secret sharing using finite fields
- optable.py: create a printable op table for a finite ring
Standalone test programs for the various classes are included:
- test_bitstring.py tests bitstring classes
- test_ffield.py primarily tests ffield.py, but also uses matrix.py and poly.py
- test_matrix.py primarily tests matrix.py, but also uses poly.py and rational.py
- test_poly.py primarily tests poly.py, but also uses ffield.py and rational.py
- test_rational.py tests rational classes