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([ 8, 17,  9], order=31)

In [3]: b = GF.Random(3); b
Out[3]: GF([22,  4, 16], order=31)

In [4]: np.dot(a, b)
Out[4]: GF(16, order=31)

In [5]: A = GF.Random((3,3)); A
Out[5]: 
GF([[30, 30,  8],
    [20, 28, 21],
    [ 8,  4, 19]], order=31)

In [6]: B = GF.Random((3,3)); B
Out[6]: 
GF([[27, 20,  7],
    [ 6, 19, 24],
    [ 6, 21, 19]], order=31)

In [7]: np.dot(A, B)
Out[7]: 
GF([[15,  5, 28],
    [28,  9,  2],
    [13, 15, 17]], order=31)