gint 0.1.0

A Python class for polynomial arithmetic over GF(2), based on Pythons built-in integers, efficiently implemented in C

gint

A Python class for (large) polynomials over GF(2), based on Python's built-in integers, efficiently implemented in C

The purpose of this package is to support polynomial algebra over GF(2). The polynomial field is infinite, operations are NOT computed modulo anything.

The package does not depend on numpy nor any other package, instead Pythons built-in variable-sized integers are used. A Python subclass gint is derived from the built-in int where the appropriate operators +, -, *, /, %, divmod are defined. Exponentiation with standard integer exponent using ** operator is also allowed. Boolean operators &, |, ^ are supported, even with integers (returning gint). Shift operators with integer shift are allowed.

There is a performance penalty due to the Python integer design being based on 15- or 30-bit chunks. However the generic implementation in C still performs way better than any pure Python implementation, especially for large polynomials.