Name
Abstract | ||
|---|---|---|
This paper presents an explicit representation for the solutions of the equation
${\sum }_{i=0}^{\frac kl-1}x^{2^{li}} = a \in \mathbb {F}_{2^{n}}$
for any given positive integers k, l with l|k and n, in the closed field
${\overline {\mathbb {F}_{2}}}$
and in the finite field
$\mathbb {F}_{2^{n}}$
. As a by-product of our study, we are able to completely characterize the a’s for which this equation has solutions in
$\mathbb {F}_{2^{n}}$
. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1007/s12095-020-00425-3 | Cryptography and Communications |
Keywords | DocType | Volume |
Linear equation, Binary finite field, Zeros of polynomials, Linearized polynomial, 11D04, 12E05, 12E12 | Journal | 12 |
Issue | ISSN | Citations |
4 | 1936-2447 | 1 |
PageRank | References | Authors |
0.35 | 0 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sihem Mesnager | 1 | 355 | 66.14 |
| Kwang Ho Kim | 2 | 20 | 11.90 |
| Jong Hyok Choe | 3 | 1 | 0.35 |
| Dok Nam Lee | 4 | 1 | 1.36 |
| Dae Song Go | 5 | 1 | 0.35 |