np.trace¶

np.trace(x)[source]¶

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([[17, 12, 27,  7, 10, 13],
    [13, 29,  9, 20,  5, 10],
    [22, 11, 29,  2, 24, 15],
    [14, 16, 21,  9,  3, 28],
    [10,  6, 28, 26, 10, 19]], order=31)

In [3]: np.trace(A)
Out[3]: GF(1, order=31)

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

In [5]: np.trace(A, offset=1)
Out[5]: GF(14, order=31)

In [6]: A[0,1] + A[1,2] + A[2,3] + A[3,4] + A[4,5]
Out[6]: GF(14, order=31)