Kryptografická primitiva v liché charakteristice

• Thesis title in Czech: Kryptografická primitiva v liché charakteristice
• Thesis title in English: Cryptographic primitives in odd characteristic
• Key words: kryptoanalýza|konečná tělesa
• English key words: cryptanalysis|finite fields
• Academic year of topic announcement: 2022/2023
• Thesis type: Bachelor's thesis
• Thesis language: angličtina
• Department: Department of Algebra (32-KA)
• Supervisor: doc. Faruk Göloglu, Dr. rer. nat.
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 03.05.2022
• Date of assignment: 15.07.2022
• Confirmed by Study dept. on: 22.07.2022
• Date and time of defence: 06.09.2022 10:00
• Date of electronic submission: 22.07.2022
• Date of submission of printed version: 25.07.2022
• Date of proceeded defence: 06.09.2022
• Opponents: Mgr. Jiří Pavlů

Guidelines

Most cryptographic primitives are designed to work on vector spaces over the two element field. Recently in [1], a generalization of
cryptographic primitives (relevant to cryptanalysis of symmetric ciphers) to odd characteristic finite fields has been presented.
The thesis should provide detailed explanations of these odd characteristic primitives. It may also include some cryptanalysis ideas
presented in the paper.

References

[1] Tim Beyne, Anne Canteaut, Itai Dinur, Maria Eichlseder, Gregor Leander, Gaëtan Leurent, María Naya-Plasencia, Léo Perrin,
Yu Sasaki, Yosuke Todo, Friedrich Wiemer: Out of Oddity - New Cryptanalytic Techniques against Symmetric Primitives Optimized
for Integrity Proof Systems. IACR Cryptol. ePrint Arch. 2020: 188 (2020)