Research and Teaching

A brief summary of the activities during my PhD. For more details I invite you to read my CV.

Talks

• Short Integer Solutions A Worst-case to Average-case Reduction , June 14th, 2019 -UL
• Improved Cryptanalysis of the AJPS Mersenne Based Cryptosystem Paris June 27th, 2019 - NutMiC
• A Polynomial-Time Algorithm for Solving the Hidden Subset Sum Problem August 17-21st, 2020 - Virtual CRYPTO2020 https://youtu.be/LXWtgl54Eos
• Provably Solving the Hidden Subset Sum Problem via Statistical Learning August 25th, 2021 - Virtual MathCrypt2021
• Precomputed DL sets for speeding up cryptography have an expiration time October 19th, 2021 - UL
• On the hardness of the hidden subset sum problem November 30th, 2021 - Women in Algebra and Symbolic Computations II
• What we know (and do not) about the hidden subset sum problem April 23rd, 2023 - CrossFyre23 - Lyon
• Weightwise perfectly balanced functions and nonlinearity May 31st, 2023 - C2SI Rabat

Papers

• Improved Cryptanalysis of the AJPS Mersenne Based Cryptosystem with Jean-Sébastien Coron ia.cr/2019/610 NutMiC2019
• A Polynomial-Time Algorithm for Solving the Hidden Subset Sum Problem with Jean-Sébastien Coron ia.cr/2020/461 CRYPTO2020
• Provably Solving the Hidden Subset Sum Problem via Statistical Learning with Jean-Sébastien Coron ia.cr/2021/1007 MathCrypt2021
• On the weightwise nonlinearity of weightwise perfectly balanced functions with Pierrick Méaux ia.cr/2022/408 in Discrete Applied Mathematics https://doi.org/10.1016/j.dam.2022.08.017 .
• Weightwise almost perfectly balanced functions: secondary constructions for all n and better weightwise nonlinearities with Pierrick Méaux ia.cr/2022/1434 INDOCRYPT2022
• Weightwise perfectly balanced functions and nonlinearity with Pierrick Méaux ia.cr/2022/1777 C2SI 2023
• On the algebraic immunity of weightwise perfectly balanced functions with Pierrick Méaux ia.cr/2022/495 LATINCRYPT2023
• S₀-equivalent classes, a new direction to find better weightwise perfectly balanced functions, and more with Pierrick Méaux ia.cr/2022/1101 extended abstract accepted at BFA2023. Full paper in review.
• About solving the Multidimensional Hidden Subset Sum Problem https://orbilu.uni.lu/handle/10993/57167
• TooLIP: How to Find New Instances of FiLIP Cipher With Smaller Key Size and New Filters with François Gérard and Pierrick Méaux. Preprint: https://orbilu.uni.lu/handle/10993/60234
• More to come ...

PhD thesis

• On the hardness of the hidden subset sum problem: algebraic and statistical attacks .

Notes

• Sage tutorial: Factorisation in number fields, some examples.
• Haskell: Full course notes and exercises avaliable upon request. .
• Security 1 notebooks:
  • Rudiments of Modular Arithmetic.
  • Rudiments of Groups.
  • Hardness Assumptions for PKC.

Teaching and supervision

• Supervision of Master Internship of Elias Suvanto from ENS de Lyon
• Supervision of the UL-BiCS Semester Project: Linear algebra low-level routines: theory and applications - Semester 1
• Supervision of the UL-BiCS Semester Project: BCI for Patients unable of verbal communication - Semester 2
• Supervision of the UL-BiCS Semester Project: Subset Sum Problem: theory and practice - Semester 5
• Supervision of the UL-BiCS Semester Project: Challenges of Secure Hash Algorithms - Semester 2
• Supervision of the UL-BiCS Semester Project: Cryptographic Hash Functions and the Fiat-Shamir paradigm - Semester 3
• Supervision of the UL-BiCS Semester Project: SHA - Semester 2
• Supervision of the UL-BiCS Semester Project: Subset Sum Problem - Semester 2
• Teaching Security 1 WS2022-23 UL-BiCS
Supervision of the UL-MiCS Project: Commitments protocols as a tool for blockchain and cryptocurrencies - Semester 3
• Teaching Software Foundation (Functional programming with Haskell) SS2022-23 UL-BiCS
Teaching Programming foundamentals 3 (Haskell) WS2023-24 UL-BiCS

Further notes in italian are collected at my old italian webpage.

“The secret of the successful fool is that he's no fool at all.”
-Isaac Asimov

Contact Me

E-mail

firstname.lastname at uni.lu

Design: TEMPLATED. Pictures copyright: Agnese Gini, Andrea Mannucci .