Relationship between higher order attacks and CCZ-equivalence

• Thesis title in Czech: Vztah útoků odvozených od vyšších stupňů a CCZ ekvivalence
• Thesis title in English: Relationship between higher order attacks and CCZ-equivalence
• English key words: higher order attacks, CCZ-equivalence
• Academic year of topic announcement: 2015/2016
• Thesis type: diploma thesis
• Thesis language: angličtina
• Department: Department of Algebra (32-KA)
• Supervisor: Dr. rer. nat. Faruk Göloglu
• Author: Mgr. Lucie Deptová - assigned and confirmed by the Study Dept.
• Date of registration: 17.02.2016
• Date of assignment: 17.02.2016
• Confirmed by Study dept. on: 12.07.2016
• Date and time of defence: 08.09.2016 00:00
• Date of electronic submission: 22.07.2016
• Date of submission of printed version: 28.07.2016
• Date of proceeded defence: 08.09.2016
• Opponents: RNDr. Michal Hojsík, Ph.D.

Guidelines

The authors of [1] analyse the differential and linear properties of S-Boxes which are affine equivalent to each other. A related question is based on an attack called "higher order attacks". Two affinely equivalent S-Boxes have the same vulnerability against higher order cryptanalysis. But the question whether CCZ-equivalent S-Boxes have the same vulnerability is unsolved. The student will work on this problem and report on her findings. In case of limited progress on an original solution to the proposed problem, the thesis should include a survey on the vulnerability of S-Boxes of Caesar competitors according to this criterion.

References

[1] On the behaviors of affine equivalent S-Boxes regarding differential and linear attacks. Anne Canteaut, Joëlle Roué. EUROCRYPT 2015.