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([29, 15, 20], order=31)

In [3]: b = GF.Random(3); b
Out[3]: GF([30,  5, 21], order=31)

In [4]: np.dot(a, b)
Out[4]: GF(1, order=31)

In [5]: A = GF.Random((3,3)); A
Out[5]: 
GF([[ 8, 11,  4],
    [ 5, 14, 20],
    [27, 17, 29]], order=31)

In [6]: B = GF.Random((3,3)); B
Out[6]: 
GF([[ 1,  0, 19],
    [28, 29, 25],
    [22,  3, 26]], order=31)

In [7]: np.dot(A, B)
Out[7]: 
GF([[ 1, 21,  4],
    [ 0,  1,  4],
    [25, 22, 18]], order=31)