galois.prod¶

galois.prod(*values: int) → int¶

galois.prod(*values: Poly) → Poly

Computes the product of the arguments.

Parameters

*values

Each argument must be an integer or polynomial.

Returns

The product of the arguments.

See also

gcd, egcd, lcm

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]: f1 = galois.Poly.Random(2, field=GF); f1
Out[3]: Poly(2x^2 + 2x + 4, GF(7))

In [4]: f2 = galois.Poly.Random(3, field=GF); f2
Out[4]: Poly(3x^3 + 3x^2 + 5x + 1, GF(7))

In [5]: f3 = galois.Poly.Random(4, field=GF); f3
Out[5]: Poly(x^4 + 6x^3 + 5x^2 + 2x + 3, GF(7))

Compute the product of three polynomials.

In [6]: galois.prod(f1, f2, f3)
Out[6]: Poly(6x^9 + 6x^8 + 4x^7 + 5x^6 + 5x^5 + 5x^4 + 3x^2 + 4x + 5, GF(7))

In [7]: f1 * f2 * f3
Out[7]: Poly(6x^9 + 6x^8 + 4x^7 + 5x^6 + 5x^5 + 5x^4 + 3x^2 + 4x + 5, GF(7))