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([[ 0, 29, 21, 19,  4, 23],
    [18, 30, 29, 18,  8, 17],
    [12, 14, 29,  4, 16, 28],
    [22, 14,  6,  1, 13,  8],
    [30,  5,  6, 29, 28,  8]], order=31)

In [3]: np.trace(A)
Out[3]: GF(26, order=31)

In [4]: A[0,0] + A[1,1] + A[2,2] + A[3,3] + A[4,4]
Out[4]: GF(26, order=31)

In [5]: np.trace(A, offset=1)
Out[5]: GF(21, order=31)

In [6]: A[0,1] + A[1,2] + A[2,3] + A[3,4] + A[4,5]
Out[6]: GF(21, order=31)