# Revision history [back]

### How to transform a univariate polynomial over $\mathbb{F}_{2^n}$ into a multivariate Boolean polynomial over $\mathbb{F}_2^n$

python F=GF(2^8,'a') R=PolynomialRing(F,"x,y") R.inject_variables() f=x*y-1 

How can we transform f into a multivariable Boolean polynomial over $\mathbb{F}_{2^8}$, which includes variables $x_0, \ldots, x_7$ and $y_0, \ldots, y_7$ (16 variables in total), and has an algebraic degree of 2?

### How to transform a univariate polynomial over $\mathbb{F}_{2^n}$ into a multivariate Boolean polynomial over $\mathbb{F}_2^n$

python F=GF(2^8,'a') R=PolynomialRing(F,"x,y") R.inject_variables() f=x*y-1  f=x*y-1

How can we transform f into a multivariable Boolean polynomial over $\mathbb{F}_{2^8}$, which includes variables $x_0, \ldots, x_7$ and $y_0, \ldots, y_7$ (16 variables in total), and has an algebraic degree of 2?

 3 None Emmanuel Charpentier 7542 ●6 ●50 ●146

### How to transform a univariate polynomial over $\mathbb{F}_{2^n}$ into a multivariate Boolean polynomial over $\mathbb{F}_2^n$

F=GF(2^8,'a') R=PolynomialRing(F,"x,y") R.inject_variables() f=x*y-1

How can we transform f into a multivariable Boolean polynomial over $\mathbb{F}_{2^8}$, which includes variables $x_0, \ldots, x_7$ and $y_0, \ldots, y_7$ (16 variables in total), and has an algebraic degree of 2?

 4 None Emmanuel Charpentier 7542 ●6 ●50 ●146

### How to transform a univariate polynomial over $\mathbb{F}_{2^n}$ into a multivariate Boolean polynomial over $\mathbb{F}_2^n$

.

F=GF(2^8,'a')
R=PolynomialRing(F,"x,y")
R.inject_variables()
f=x*y-1f=x*y-1


How can we transform f into a multivariable Boolean polynomial over $\mathbb{F}_{2^8}$, which includes variables $x_0, \ldots, x_7$ and $y_0, \ldots, y_7$ (16 variables in total), and has an algebraic degree of 2?