Factors of Dickson polynomials over finite fields
- Fitzgerald, Robert W.
- Yucas, Joseph L.
DOIAbstract
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields
AbstractLet q be a power of an odd prime and let k,n∈N be such that 1<k⩽n. We investigate the existe...
1 We give new descriptions of the factors of Dickson polynomials over finite fields
AbstractWe study the factorization of polynomials of the form Fr(x)=bxqr+1−axqr+dx−c over the finite...
We give new descriptions of the factors of Dickson polynomials over finite fields
AbstractWe derive the factorizations of the Dickson polynomialsDn(X,a) andEn(X,a), and of the bivari...
We give, over a finite field Fq, explicit factorizations into a product of irreducible polynomials, ...
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields in terms o...
We give new descriptions of the factors of Dickson polynomials over finite fields in terms of cyclot...
AbstractLetTn(x,a) ∈ GF(q)[x] be a Dickson polynomial over the finite field GF(q) of either the firs...
AbstractReversed Dickson polynomials over finite fields are obtained from Dickson polynomials Dn(x,a...
AbstractTwo new classes of permutation polynomials over finite fields are presented: (i) f(x)=(1−x−x...
AbstractWe construct a class of permutation polynomials of F2m that are closely related to Dickson p...
AbstractWe give several necessary conditions for the reversed Dickson polynomial Dn(1,x) to be a per...
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields
\u3cp\u3eLet n be a positive integer, q=2\u3csup\u3en\u3c/sup\u3e, and let F\u3csub\u3eq\u3c/sub\u3e...
AbstractLet q be a power of an odd prime and let k,n∈N be such that 1<k⩽n. We investigate the existe...
1 We give new descriptions of the factors of Dickson polynomials over finite fields
AbstractWe study the factorization of polynomials of the form Fr(x)=bxqr+1−axqr+dx−c over the finite...
We give new descriptions of the factors of Dickson polynomials over finite fields
AbstractWe derive the factorizations of the Dickson polynomialsDn(X,a) andEn(X,a), and of the bivari...
We give, over a finite field Fq, explicit factorizations into a product of irreducible polynomials, ...
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields in terms o...
We give new descriptions of the factors of Dickson polynomials over finite fields in terms of cyclot...
AbstractLetTn(x,a) ∈ GF(q)[x] be a Dickson polynomial over the finite field GF(q) of either the firs...
AbstractReversed Dickson polynomials over finite fields are obtained from Dickson polynomials Dn(x,a...
AbstractTwo new classes of permutation polynomials over finite fields are presented: (i) f(x)=(1−x−x...
AbstractWe construct a class of permutation polynomials of F2m that are closely related to Dickson p...
AbstractWe give several necessary conditions for the reversed Dickson polynomial Dn(1,x) to be a per...
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields
\u3cp\u3eLet n be a positive integer, q=2\u3csup\u3en\u3c/sup\u3e, and let F\u3csub\u3eq\u3c/sub\u3e...
AbstractLet q be a power of an odd prime and let k,n∈N be such that 1<k⩽n. We investigate the existe...
1 We give new descriptions of the factors of Dickson polynomials over finite fields
AbstractWe study the factorization of polynomials of the form Fr(x)=bxqr+1−axqr+dx−c over the finite...
Add to ORKG