Name
Abstract | ||
|---|---|---|
In 2003, Alfred Menezes, Edlyn Teske and Annegret Weng presented a conjecture on properties of the solutions of a type of quadratic equations over the binary extension fields, which had been confirmed by extensive experiments but the proof was unknown until now. We prove that this conjecture is correct. Furthermore, using this proved conjecture, we have completely determined the null space of a class of linearized polynomials. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1007/s12095-019-00359-5 | Cryptography and Communications |
Keywords | Field | DocType |
Binary finite fields, Elliptic curve, Discrete Logarithm Problem (DLP), Quadratic equation, Trace function, 68R01, 11G05, 12E12, 12E20 | Kernel (linear algebra),Discrete mathematics,Polynomial,Quadratic equation,Trace (linear algebra),Conjecture,Mathematics,Elliptic curve,Binary number | Journal |
Volume | Issue | ISSN |
12 | 1 | 1936-2455 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sihem Mesnager | 1 | 355 | 66.14 |
| Kwang Ho Kim | 2 | 20 | 11.90 |
| Junyop Choe | 3 | 0 | 1.35 |
| Chun-ming Tang | 4 | 467 | 76.28 |