np.trace

np.trace(x)

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

References

Examples

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

In [2]: A = GF.Random((5,6)); A
Out[2]: 
GF([[10, 16, 24,  2, 30, 13],
    [10, 22, 30,  2,  8, 21],
    [10, 12,  7,  1,  8, 17],
    [21, 26,  8, 19, 13, 15],
    [17, 27, 15,  3,  2,  3]], order=31)

In [3]: np.trace(A)
Out[3]: GF(29, order=31)

In [4]: A[0,0] + A[1,1] + A[2,2] + A[3,3] + A[4,4]
Out[4]: GF(29, order=31)
In [5]: np.trace(A, offset=1)
Out[5]: GF(1, order=31)

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