AbstractThe purpose of this paper is to construct maximal curves over large finite fields using linearized permutation polynomials. We also study linearized permutation polynomials under finite field extensions
It has been known for a long time that the Deligne-Lusztig curves associated to the algebraic groups...
We first study the ring of q-polynomials over Fq by constructing an isomorphism between this ring an...
Let $F_q$ be the finite field with $q$ elements and $F_q[x_1,\ldots, x_n]$ the ring of polynomials i...
AbstractThe purpose of this paper is to construct maximal curves over large finite fields using line...
The purpose of this paper is to construct maximal curves over large finite fields using linearized p...
AbstractWe study arithmetical and geometrical properties ofmaximal curves, that is, curves defined o...
A permutation polynomial of a finite field K is one for which the associated polynomial function is ...
AbstractIn this note we provide a characterization of maximal hyperelliptic curves C over a finite f...
AbstractWe present two methods for generating linearized permutation polynomials over an extension o...
AbstractIt is shown that the curve yq2−y=xqn+1q+1 over Fq2n with n≥3 odd, that generalizes Serre’s c...
For a positive integer k and a linearized polynomial L(X), polynomials of the form P(X) = G(X)(k) - ...
We characterize certain maximal curves over finite fields defined by equations of type y n = x m + x...
AbstractIn this note, we present a simple method for constructing maximal curves defined over Fq2m b...
AbstractIn this work we study the properties of maximal and minimal curves of genus 3 over finite fi...
AbstractMethods for constructing large families of permutation polynomials of finite fields are intr...
It has been known for a long time that the Deligne-Lusztig curves associated to the algebraic groups...
We first study the ring of q-polynomials over Fq by constructing an isomorphism between this ring an...
Let $F_q$ be the finite field with $q$ elements and $F_q[x_1,\ldots, x_n]$ the ring of polynomials i...
AbstractThe purpose of this paper is to construct maximal curves over large finite fields using line...
The purpose of this paper is to construct maximal curves over large finite fields using linearized p...
AbstractWe study arithmetical and geometrical properties ofmaximal curves, that is, curves defined o...
A permutation polynomial of a finite field K is one for which the associated polynomial function is ...
AbstractIn this note we provide a characterization of maximal hyperelliptic curves C over a finite f...
AbstractWe present two methods for generating linearized permutation polynomials over an extension o...
AbstractIt is shown that the curve yq2−y=xqn+1q+1 over Fq2n with n≥3 odd, that generalizes Serre’s c...
For a positive integer k and a linearized polynomial L(X), polynomials of the form P(X) = G(X)(k) - ...
We characterize certain maximal curves over finite fields defined by equations of type y n = x m + x...
AbstractIn this note, we present a simple method for constructing maximal curves defined over Fq2m b...
AbstractIn this work we study the properties of maximal and minimal curves of genus 3 over finite fi...
AbstractMethods for constructing large families of permutation polynomials of finite fields are intr...
It has been known for a long time that the Deligne-Lusztig curves associated to the algebraic groups...
We first study the ring of q-polynomials over Fq by constructing an isomorphism between this ring an...
Let $F_q$ be the finite field with $q$ elements and $F_q[x_1,\ldots, x_n]$ the ring of polynomials i...
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