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InftyLcm

Computes a least common multiple with respect to the degree valuation.

Syntax:

c := InftyLcm(a, b);

quotient field elements
  a,b,c  

See also:  InftyVal, InftyQuotRem, InftyGcd

Description:

Let a, b \in FF_q(x). This function returns x^{-max(\nu_\infty(a),\nu_\infty(b))}.


Example:


kash> k := FF(5, 2);
Finite field of size 5^2
kash> kx := PolyAlg(k);
Univariate Polynomial Ring in x over GF(5^2)

kash> x := Poly(kx, [1,0]);
x
kash> InftyLcm(x^2+1, x^3+1);
x^2


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