Towards a classification of permutation binomials of the form \(x^i+ax\) over \(\mathbb{F}_{2^n}\)
From MaRDI portal
Publication:6651893
DOI10.1007/S10623-024-01462-2MaRDI QIDQ6651893
Publication date: 11 December 2024
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- New classes of permutation binomials and permutation trinomials over finite fields
- Some classes of monomial complete permutation polynomials over finite fields of characteristic two
- Determination of a type of permutation binomials over finite fields
- Complete permutation polynomials over finite fields of odd characteristic
- On some permutation binomials and trinomials over \(\mathbb{F}_{2^n}\)
- Complete permutation polynomials from exceptional polynomials
- Some new results on permutation polynomials over finite fields
- On monomial complete permutation polynomials
- On permutation polynomials over finite fields
- Permutation polynomials of degree 6 or 7 over finite fields of characteristic 2
- On constructing permutations of finite fields
- On permutation polynomials
- A class of permutation binomials over finite fields
- A family of skew Hadamard difference sets
- Permutation polynomials and applications to coding theory
- Some classes of complete permutation polynomials over \(\mathbb F_q\)
- Permutation binomials
- On polynomials of the form \(x^{r}f(x^{(q - 1)/l})\)
- On permutation polynomials of prescribed shape
- Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure
- Exceptional polynomials of affine type
- Lenstra's proof of the Carlitz-Wan conjecture on exceptional polynomials: An elementary version
- Permutation polynomials and orthomorphism polynomials of degree six
- Several classes of complete permutation polynomials over finite fields of even characteristic
- Permutation and complete permutation polynomials
- Permutation binomials over finite fields
- Binomial permutations over finite fields with even characteristic
- Determination of a type of permutation binomials and trinomials
- A note regarding permutation binomials over \(\mathbb{F}_{q^2}\)
- On some permutation polynomials over finite fields
- Further results on complete permutation monomials over finite fields
- Several classes of complete permutation polynomials
- The number of permutation binomials over \({\mathbb F}_{4p+1}\) where \(p\) and \(4p+1\) are primes
- Permutation polynomials over finite fields -- a survey of recent advances
- Necessary and sufficient conditions of two classes of permutation polynomials
- Permutation binomials of the form \(x^r (x^{q-1} +a)\) over \(\mathbb{F}_{q^e}\)
- New results on permutation binomials of finite fields
- Permutation polynomials of \(\mathbb F_{q^2}\) of the form \(aX+X^{r(q-1)+1}\)
- Handbook of finite fields
- Cubic Monomial Bent Functions: A Subclass of $\mathcal{M}$
- On some permutation polynomials over $\mathbb {F}_q$ of the form $x^r h(x^{(q-1)/d})$
- Permutation polynomials over finite fields
- Binomial permutations of finite fields
- When Does a Polynomial over a Finite Field Permute the Elements of the Field?, II
- A method for obtaining digital signatures and public-key cryptosystems
- Non-p-generic and strongly nonbranching degree
- Permutation binomials over finite fields
- Optimal Ternary Cyclic Codes From Monomials
- Cyclotomic Mapping Permutation Polynomials over Finite Fields
- SOME FAMILIES OF PERMUTATION POLYNOMIALS OVER FINITE FIELDS
- The number of solutions of a special system of equations in a finite field
- Some theorems on permutation polynomials
- A generalized Lucas sequence and permutation binomials
This page was built for publication: Towards a classification of permutation binomials of the form \(x^i+ax\) over \(\mathbb{F}_{2^n}\)
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6651893)