np.trace

np.trace(x)

Returns the sum along the diagonal of a Galois field array.

References

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

Examples

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

In [2]: A = GF.Random((5,6)); A
Out[2]: 
GF([[ 2, 17, 27,  9,  6,  1],
    [14, 28, 26,  1,  3,  6],
    [28, 14, 16, 11, 22, 24],
    [ 3, 21, 10,  9,  4, 15],
    [18, 26, 15, 19, 18,  3]], order=31)

In [3]: np.trace(A)
Out[3]: GF(11, order=31)

In [4]: A[0,0] + A[1,1] + A[2,2] + A[3,3] + A[4,4]
Out[4]: GF(11, order=31)

In [5]: np.trace(A, offset=1)
Out[5]: GF(30, order=31)

In [6]: A[0,1] + A[1,2] + A[2,3] + A[3,4] + A[4,5]
Out[6]: GF(30, order=31)