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About me
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My MSC Thesis centered on Code-based post quantum signature schemes based on Cryptographic Group Actions and Code Equivalence assumptions; in particular LESS and MEDS.
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My thesis work for the Bachelor Degree in Mathematics: The Containment Problem, a general introduction and the particular case for Steiner systems (article in digital version and beamer slideshow (🇬🇧)).
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A custom beamer theme for the Math Department in Università di Trento (unofficial).
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an undergraduate overview and a sagemath implementation
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Cryptographic Group Actions and Digital Signatures,
with a focus on Code Equivalence Problems
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Cryptographic Group Actions and Digital Signatures,
with a focus on Code Equivalence Problems
Published in CT-RSA 2024, 2023
Threshold signature from generic group action derived signatures
Recommended citation: Battagliola, Michele, Giacomo Borin, Alessio Meneghetti, and Edoardo Persichetti. "Cutting the GRASS: Threshold GRoup Action Signature Schemes." CT-RSA (2024). https://eprint.iacr.org/2023/859
Published in Cryptology ePrint Archive, 2023
Different configurations for signatures based on Cryptographic Group Actions
Recommended citation: Giacomo Borin, Edoardo Persichetti, Paolo Santini, Federico Pintore and Krijn Reijnders. "A Guide to the Design of Digital Signatures based on Cryptographic Group Actions." Cryptology ePrint Archive (2023). https://eprint.iacr.org/2023/718
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For the course Applied Crptography I gave a short Presentation (🇬🇧) to an audience of engineers and mathematicians about the basics of linear coding theory and its application for post-quantum cryptography. In particular I’ve explained the key ideas behind McEliece Cryptosystem and one of its implementation: LEDAcrypt . This suite were designed by a group of italian researchers (Marco Baldi, Alessandro Barenghi, Franco Chiaraluce, Gerardo Pelosi, Paolo Santini) and reached the second round of the NIST Post-Quantum Cryptography Standardization process .
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Informative conference (🇬🇧) about Cryptography and the role of mathematics, inserted in the series of conferences In a Nutshell, promoted by the Associazione Allievi Clesio (🇮🇹).
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A presentation (🇬🇧) for the final exam of the course Advanced Commutative Algebra . These slides where inspired by the wonderful book Codes, Cryptology and Curves with Computer Algebra containing two interesting intersections between coding theory and commutative algebra, that I have expanded and inserted in the slides (it is possible to have also the annotated version). The two main arguments are:
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Group actions are fundamental mathematical tools, both for classical cryptography with discrete logarithm and for post-quantum cryptography, such as isogeny-based and code-based ones. They have received a lot of interest from the cryptographic community, who are also attracted by the possibility of defining additional functionalities over standard primitives. However, different families of group actions may differ significantly in their core characteristics, so some works usually focus on specific schemes, usually with abelian acting groups like CSI-FiSh. In this talk, we have seen some additional functionalities for general cryptographic group actions, particularly the one arising from isomorphism problems in coding theory used in LESS and MEDS signature schemes, such as a threshold implementation and different commitment design strategies.
Undergraduate course, University of Trento, Departments of Math & Physics, 2021
For two years I tutored first years undergraduated students attending Linear Algebra and Calculus courses.
Undergraduate and Graduate course, University of Zurich, Institute of Mathematics, 2024
I tutored the students providing exercises in Coding Theory and solving them in exercise sections.