np.log

np.log(x)

Computes the logarithm (base GF.primitive_element) of a Galois field array element-wise.

Calling np.log() implicitly uses base galois.FieldClass.primitive_element. See galois.FieldArray.log() for logarithm with arbitrary base.

References

• https://numpy.org/doc/stable/reference/generated/numpy.log.html

Examples

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

In [2]: alpha = GF.primitive_element; alpha
Out[2]: GF(3, order=31)

In [3]: x = GF.Random(10, low=1); x
Out[3]: GF([ 4, 17,  6, 12,  7,  5,  3, 25, 19, 13], order=31)

In [4]: y = np.log(x); y
Out[4]: array([18,  7, 25, 19, 28, 20,  1, 10,  4, 11])

In [5]: alpha ** y
Out[5]: GF([ 4, 17,  6, 12,  7,  5,  3, 25, 19, 13], order=31)