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How to transform a univariate polynomial over F2n into a multivariate Boolean polynomial over Fn2

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 F28, which includes variables x0,,x7 and y0,,y7 (16 variables in total), and has an algebraic degree of 2?

How to transform a univariate polynomial over F2n into a multivariate Boolean polynomial over Fn2

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 F28, which includes variables x0,,x7 and y0,,y7 (16 variables in total), and has an algebraic degree of 2?

click to hide/show revision 3
None

How to transform a univariate polynomial over F2n into a multivariate Boolean polynomial over Fn2

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 F28, which includes variables x0,,x7 and y0,,y7 (16 variables in total), and has an algebraic degree of 2?

click to hide/show revision 4
None

How to transform a univariate polynomial over F2n into a multivariate Boolean polynomial over Fn2

.

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 F28, which includes variables x0,,x7 and y0,,y7 (16 variables in total), and has an algebraic degree of 2?