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Hello everyone,

My question is the following : how to define the set of the polynomial with degree less or equal than a certain number ? In my program I want to explore all the polynomial over a finite field with a degree less or equal than d.

For now, what I do is : R.<x> = PolynomialRing(GF(2^4)) R.random_element(5)

But If I want to go through all these elements I can't use that since I get all of them...

Does someone have an idea of what I could do ? Thank you in advance

Camille

Hello everyone,

My question is the following : how How to define the set of the polynomial polynomials with degree less than or equal than to a certain number ? number?

In my program I want to explore all the polynomial polynomials over a finite field with a degree less than or equal than d.to d.

For now, what I do is : :

R.<x> = PolynomialRing(GF(2^4))
R.random_element(5)
R.random_element(5)

But If I want to go through all these elements I can't use that since I get all of them...

Does someone have an idea of what I could do ? do? Thank you in advance

advance. Camille

How to define the set of polynomials with degree less than or equal to a certain number?

In my program I want to explore all polynomials over a finite field with degree less than or equal to d.

For now, what I do is :

R.<x> = PolynomialRing(GF(2^4))
R.random_element(5)

But If I want to go through all these elements I can't use that since I get all of them...

Does someone have an idea of what I could do? Thank you in advance. Camille