np.multiply¶

np.multiply(x, y)[source]¶

Multiplies two Galois field arrays element-wise.

References

https://numpy.org/doc/stable/reference/generated/numpy.multiply.html

Examples

Multiplying two Galois field arrays results in field multiplication.

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

In [2]: x = GF.Random(10); x
Out[2]: GF([23,  8, 21,  1,  4, 16, 22,  7,  2, 24], order=31)

In [3]: y = GF.Random(10); y
Out[3]: GF([ 6, 11, 22,  8,  2, 25, 28, 19, 26, 25], order=31)

In [4]: np.multiply(x, y)
Out[4]: GF([14, 26, 28,  8,  8, 28, 27,  9, 21, 11], order=31)

In [5]: x * y
Out[5]: GF([14, 26, 28,  8,  8, 28, 27,  9, 21, 11], order=31)

Multiplying a Galois field array with an integer results in scalar multiplication.

In [6]: GF = galois.GF(31)

In [7]: x = GF.Random(10); x
Out[7]: GF([18, 13, 19, 28, 11, 13, 28, 29, 30, 15], order=31)

In [8]: np.multiply(x, 3)
Out[8]: GF([23,  8, 26, 22,  2,  8, 22, 25, 28, 14], order=31)

In [9]: x * 3
Out[9]: GF([23,  8, 26, 22,  2,  8, 22, 25, 28, 14], order=31)

In [10]: print(GF.properties)
GF(31):
  characteristic: 31
  degree: 1
  order: 31

# Adding `characteristic` copies of any element always results in zero
In [11]: x * GF.characteristic
Out[11]: GF([0, 0, 0, 0, 0, 0, 0, 0, 0, 0], order=31)