galois.prod¶

galois.prod(*values)¶

Computes the product of the arguments.

Parameters¶

*values : int or galois.Poly

Each argument must be an integer or polynomial.

Returns¶

The product of the arguments.

Return type¶

int or galois.Poly

Examples

Integers

Compute the product of three integers.

In [1]: galois.prod(2, 4, 14)
Out[1]: 112

Polynomials

Generate random polynomials over \(\mathrm{GF}(7)\).

In [2]: GF = galois.GF(7)

In [3]: a = galois.Poly.Random(2, field=GF); a
Out[3]: Poly(3x^2 + 5x + 3, GF(7))

In [4]: b = galois.Poly.Random(3, field=GF); b
Out[4]: Poly(5x^3 + 2x + 2, GF(7))

In [5]: c = galois.Poly.Random(4, field=GF); c
Out[5]: Poly(2x^4 + 3x^2 + x, GF(7))

Compute the product of three polynomials.

In [6]: galois.prod(a, b, c)
Out[6]: Poly(2x^9 + x^8 + 3x^7 + 3x^6 + x^5 + 4x^4 + x^3 + 6x^2 + 6x, GF(7))

In [7]: a * b * c
Out[7]: Poly(2x^9 + x^8 + 3x^7 + 3x^6 + x^5 + 4x^4 + x^3 + 6x^2 + 6x, GF(7))