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([[11,  8,  8, 13, 27,  1],
    [26, 16, 17, 13, 25,  2],
    [26,  8, 23, 12,  7,  4],
    [14, 28, 23, 21, 19, 19],
    [30, 12,  5, 28, 21, 22]], order=31)

In [3]: np.trace(A)
Out[3]: GF(30, order=31)

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

In [5]: np.trace(A, offset=1)
Out[5]: GF(16, order=31)

In [6]: A[0,1] + A[1,2] + A[2,3] + A[3,4] + A[4,5]
Out[6]: GF(16, order=31)