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, 15,  9, 16, 24,  5],
    [29, 28, 14,  0, 28,  0],
    [20, 24, 16, 12, 14, 16],
    [19, 24,  1, 11, 15, 19],
    [25, 14,  9, 18, 29, 28]], order=31)

In [3]: np.trace(A)
Out[3]: GF(24, order=31)

In [4]: A[0,0] + A[1,1] + A[2,2] + A[3,3] + A[4,4]
Out[4]: GF(24, order=31)

In [5]: np.trace(A, offset=1)
Out[5]: GF(22, order=31)

In [6]: A[0,1] + A[1,2] + A[2,3] + A[3,4] + A[4,5]
Out[6]: GF(22, order=31)