Multiplication in a finite field of characteristic 2 and XOR-metrics
| Thesis title in Czech: | Násobení v konečném tělese charakteristiky 2 a XOR-metriky |
|---|---|
| Thesis title in English: | Multiplication in a finite field of characteristic 2 and XOR-metrics |
| Key words: | lightweight kryptografie, XOR-count, násobení v konečném tělese charakteristiky 2 |
| English key words: | lightweight cryptography, XOR-count, multiplication in a finite field of characteristic 2 |
| Academic year of topic announcement: | 2019/2020 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | angličtina |
| Department: | Department of Algebra (32-KA) |
| Supervisor: | doc. Mgr. et Mgr. Jan Žemlička, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 18.06.2019 |
| Date of assignment: | 22.10.2019 |
| Confirmed by Study dept. on: | 21.11.2019 |
| Date and time of defence: | 29.06.2020 10:00 |
| Date of electronic submission: | 02.06.2020 |
| Date of submission of printed version: | 04.06.2020 |
| Date of proceeded defence: | 29.06.2020 |
| Opponents: | Dr. rer. nat. Faruk Göloglu |
| Guidelines |
| Úkolem studenta bude v návaznosti na práce [1] a [2] prezentovat nové výsledky o rychlém násobení v konečných tělesech charakteristiky dva z článku [3], případně se pokusit vyřešit některé související otevřené problémy. |
| References |
| [1] Bajtoš, M.: Rýchle násobenie v telese GF(2^n), MFF UK, bakalářská práce, 2018.
[2] Beierle, C., Kranz, T., Leander, G.: Lightweight Multiplication in GF(2^n) with Applications to MDS Matrices. In: Advances in Cryptology - CRYPTO 2016, LNCS vol. 9814, Springer, Heidelberg (2016), 267-286. [3] Kölsch, L.: XOR-Counts and Lightweight Multiplication with Fixed Elements in Binary Finite Fields. In: Advances in Cryptology – EUROCRYPT 2019, LNCS, vol. 11476, Springer, Heidelberg (2019), 285-312. |