Back to Search
Start Over
A Note on a Class of Quadratic Permutations over ${\mathbb F}_{{2^n}}$.
- Source :
- Applied Algebra, Algebraic Algorithms & Error-Correcting Codes (978-3-540-77223-1); 2007, p130-137, 8p
- Publication Year :
- 2007
-
Abstract
- Finding new classes of permutation polynomials is a challenging problem. Blockhuis at al. investigated the permutation behavior of polynomials of the form $\sum_{i=0}^{n-1}a_iX^{2^i+1}$ over ${\mathbb F}_{{2^n}}$. In this paper, we extend their results and propose as a new conjecture that if n = 2e then X2 is the only unitary permutation polynomial of this type. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISBNs :
- 9783540772231
- Database :
- Complementary Index
- Journal :
- Applied Algebra, Algebraic Algorithms & Error-Correcting Codes (978-3-540-77223-1)
- Publication Type :
- Book
- Accession number :
- 34228510
- Full Text :
- https://doi.org/10.1007/978-3-540-77224-8_17