np.convolve

np.convolve(a, b)

Convolves the input arrays.

See: https://numpy.org/doc/stable/reference/generated/numpy.convolve.html

Examples

In [1]: GF = galois.GF(31)

In [2]: a = GF.Random(10)

In [3]: b = GF.Random(10)

In [4]: np.convolve(a, b)
Out[4]: 
GF([12, 23, 19,  1, 25, 22,  9, 23, 11, 24,  9, 18,  6, 15, 27,  5,  1,
    23, 28], order=31)

# Equivalent implementation with native numpy
In [5]: np.convolve(a.view(np.ndarray).astype(int), b.view(np.ndarray).astype(int)) % 31
Out[5]: 
array([12, 23, 19,  1, 25, 22,  9, 23, 11, 24,  9, 18,  6, 15, 27,  5,  1,
       23, 28])

In [6]: GF = galois.GF(2**8)

In [7]: a = GF.Random(10)

In [8]: b = GF.Random(10)

In [9]: np.convolve(a, b)
Out[9]: 
GF([ 26, 237,  73, 123,  78, 142, 170,  64, 114, 126, 218,  41,  53, 162,
     82, 109, 134, 114,  67], order=2^8)