AbstractWe derive the factorizations of the Dickson polynomialsDn(X,a) andEn(X,a), and of the bivariate Dickson polynomialsDn(X,a)−Dn(Y,a), over any finite field. Our proofs are significantly shorter and more elementary than those previously known
Let n be a positive integer, q=2n, and let Fq be the finite field with q elements. For each positive...
\u3cp\u3eLet n be a positive integer, q=2\u3csup\u3en\u3c/sup\u3e, and let F\u3csub\u3eq\u3c/sub\u3e...
Let n be a positive integer, q=2n, and let Fq be the finite field with q elements. For each positive...
AbstractLetTn(x,a) ∈ GF(q)[x] be a Dickson polynomial over the finite field GF(q) of either the firs...
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields
In this paper we introduce the notion of Dickson polynomials of the (k+1)-th kind over finite fields...
AbstractIn this paper we introduce the notion of Dickson polynomials of the (k+1)-th kind over finit...
AbstractLetTn(x,a) ∈ GF(q)[x] be a Dickson polynomial over the finite field GF(q) of either the firs...
1 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...
AbstractIn this paper we establish necessary and sufficient conditions for Dn(x, a) + b to be irredu...
We give new descriptions of the factors of Dickson polynomials over finite fields
In his Ph.D. Thesis of 1897, Dickson introduced certain permutation polynomials whose Galois groups ...
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields in terms o...
Let n be a positive integer, q=2n, and let Fq be the finite field with q elements. For each positive...
Let n be a positive integer, q=2n, and let Fq be the finite field with q elements. For each positive...
\u3cp\u3eLet n be a positive integer, q=2\u3csup\u3en\u3c/sup\u3e, and let F\u3csub\u3eq\u3c/sub\u3e...
Let n be a positive integer, q=2n, and let Fq be the finite field with q elements. For each positive...
AbstractLetTn(x,a) ∈ GF(q)[x] be a Dickson polynomial over the finite field GF(q) of either the firs...
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields
In this paper we introduce the notion of Dickson polynomials of the (k+1)-th kind over finite fields...
AbstractIn this paper we introduce the notion of Dickson polynomials of the (k+1)-th kind over finit...
AbstractLetTn(x,a) ∈ GF(q)[x] be a Dickson polynomial over the finite field GF(q) of either the firs...
1 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...
AbstractIn this paper we establish necessary and sufficient conditions for Dn(x, a) + b to be irredu...
We give new descriptions of the factors of Dickson polynomials over finite fields
In his Ph.D. Thesis of 1897, Dickson introduced certain permutation polynomials whose Galois groups ...
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields in terms o...
Let n be a positive integer, q=2n, and let Fq be the finite field with q elements. For each positive...
Let n be a positive integer, q=2n, and let Fq be the finite field with q elements. For each positive...
\u3cp\u3eLet n be a positive integer, q=2\u3csup\u3en\u3c/sup\u3e, and let F\u3csub\u3eq\u3c/sub\u3e...
Let n be a positive integer, q=2n, and let Fq be the finite field with q elements. For each positive...
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