Thesis in cryptography (M/F): Theory and Practice of Higher-order Differential Cryptanalysis
New
- FTC PhD student / Offer for thesis
- 36 mounth
- BAC+5
This offer is available in English version
This offer is open to people with a document recognizing their status as a disabled worker.
Offer at a glance
The Unit
Laboratoire de mathématiques de Versailles
Contract Type
FTC PhD student / Offer for thesis
Working hHours
Full Time
Workplace
78035 VERSAILLES
Contract Duration
36 mounth
Date of Hire
01/10/2026
Remuneration
2300 € gross monthly
Apply Application Deadline : 12 June 2026 23:59
Job Description
Thesis Subject
The aim of this thesis is to improve and understand higher-order differential cryptanalysis attacks. To achieve this, the following approaches are considered: Algebraic and probabilistic perspectives. The objective is to reconcile the algebraic view of components with the probabilistic view of possible transitions, as is generally done in differential or linear cryptanalysis. Mathematical formalism. One of the tasks of this thesis will be to simplify the mathematical formalism and define objects adapted to the efficient approach, whether for constructing resistance proofs or for searching for higher-order differential distinguishers using dedicated algorithms. Dedicated algorithms for attack detection. This will involve designing algorithms dedicated to searching for higher-order differential distinguishers with a given bias. Initial ideas have been developed in the literature, based in particular on heuristics between each iteration of the cipher, which lose reliability as the number of iterations increases. It is therefore necessary to exploit a more refined and relevant representation in the machine, but to do without heuristics as much as possible in the search for distinguishers. Higher-order differential theory. Lai's seminal article raises a plethora of questions, some of which, to our knowledge, have never been explicitly addressed. One of the objectives of this thesis is also to try to answer them.
Your Work Environment
The doctoral student will be integrated into the 'Cryptology and Information Security' team of the LMV laboratory (UMR CNRS 8100). He will be supervised by Yann Rotella (HDR) and Jules Baudrin (LMV laboratory), with very regular updates on the progress of the research, and the training will be monitored within the framework of the ED STIC, also relying on the individual thesis monitoring committee.
Constraints and risks
The position is located in a relevant sector of the protection of scientific and technical potential (PPST), and therefore requires, in accordance with regulations, that your arrival be authorized by the competent authority of the MESR.
Compensation and benefits
Compensation
2300 € gross monthly
Annual leave and RTT
44 jours
Remote Working practice and compensation
Pratique et indemnisation du TT
Transport
Prise en charge à 75% du coût et forfait mobilité durable jusqu’à 300€
About the offer
| Offer reference | UMR8100-LOUGOU-003 |
|---|---|
| CN Section(s) / Research Area | Information sciences: bases of information technology, calculations, algorithms, representations, uses |
About the CNRS
The CNRS is a major player in fundamental research on a global scale. The CNRS is the only French organization active in all scientific fields. Its unique position as a multi-specialist allows it to bring together different disciplines to address the most important challenges of the contemporary world, in connection with the actors of change.
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