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

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

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

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

Compute the product of three polynomials.

In [6]: galois.prod(a, b, c)
Out[6]: Poly(3x^9 + 6x^8 + 3x^7 + 4x^6 + 3x^5 + 5x^4 + x^3 + 6x^2 + 3x + 1, GF(7))

In [7]: a * b * c
Out[7]: Poly(3x^9 + 6x^8 + 3x^7 + 4x^6 + 3x^5 + 5x^4 + x^3 + 6x^2 + 3x + 1, GF(7))