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([ 4,  9, 13,  6, 10, 26, 24, 29,  3,  6,  4, 19, 21, 30, 10, 17, 24,
     7,  4], 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([ 4,  9, 13,  6, 10, 26, 24, 29,  3,  6,  4, 19, 21, 30, 10, 17, 24,
        7,  4])

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([ 93, 184, 168, 111, 127,  47,  68,  93,  78,   9,  91, 237,  61, 105,
     44, 149, 189, 166, 176], order=2^8)