np.dot

np.dot(a, b)

Returns the dot product of two Galois field arrays.

References

• https://numpy.org/doc/stable/reference/generated/numpy.dot.html

Examples

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

In [2]: a = GF.Random(3); a
Out[2]: GF([ 4, 29,  5], order=31)

In [3]: b = GF.Random(3); b
Out[3]: GF([30,  3,  4], order=31)

In [4]: np.dot(a, b)
Out[4]: GF(10, order=31)

In [5]: A = GF.Random((3,3)); A
Out[5]: 
GF([[19, 11, 21],
    [ 7,  3, 24],
    [18, 16, 23]], order=31)

In [6]: B = GF.Random((3,3)); B
Out[6]: 
GF([[ 9,  3, 20],
    [29, 17, 27],
    [23, 25, 25]], order=31)

In [7]: np.dot(A, B)
Out[7]: 
GF([[12, 25, 24],
    [20, 21, 15],
    [ 8,  2,  3]], order=31)