np.trace¶

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([[26,  6,  4,  4, 15,  7],
    [22, 26,  6, 12, 29, 11],
    [ 8, 29,  7, 29,  1,  7],
    [ 5, 26, 15,  1, 26,  1],
    [ 0, 19,  8, 25, 17, 10]], order=31)

In [3]: np.trace(A)
Out[3]: GF(15, order=31)

In [4]: A[0,0] + A[1,1] + A[2,2] + A[3,3] + A[4,4]
Out[4]: GF(15, order=31)

In [5]: np.trace(A, offset=1)
Out[5]: GF(15, order=31)

In [6]: A[0,1] + A[1,2] + A[2,3] + A[3,4] + A[4,5]
Out[6]: GF(15, order=31)