Research
Interests
Basically, I am interested in everything involving discrete mathematics for communication, from the algebraic structures underneath Coding Theory and Cryptography to the complexity of the mathematical problems related to them. In this page, I list some selected papers covering the main topics of my past and present research. A complete list, as well as my teaching activities and other stuff, is instead kept updated on the page of my CV.
Post-Quantum Cryptography
M. Battagliola, G. Borin, A. Meneghetti, and E. Persichetti, “Cutting the GRASS: Threshold GRoup Action Signature Schemes”
Preprint, 2023 (also listed below as a work on Threshold Cryptography)G. D’Alconzo, A. Meneghetti, and P. Piasenti, “Security issues of CFS-like digital signature algorithms”
Accepted for publication in Journal of Discrete Mathematical Sciences & Cryptography, 2022A. Meneghetti, A. Pellegrini, and M. Sala, “On the equivalence of two post-quantum cryptographic families”
Annali di Matematica Pura e Applicata, 2022
Threshold Cryptography
M. Battagliola, G. Borin, A. Meneghetti, and E. Persichetti, “Cutting the GRASS: Threshold GRoup Action Signature Schemes”
Preprint, 2023 (also listed above as a work on Post-Quantum Cryptography)M. Battagliola, R. Longo, A. Meneghetti and M. Sala, “Provably Unforgeable Threshold EdDSA with an Offline Participant and Trustless Setup”
Mediterranean Journal of Mathematics, 2023 (preprint 2020)M. Battagliola, R. Longo, A. Meneghetti and M. Sala, “Threshold ECDSA with an offline recovery party”
Mediterranean Journal of Mathematics, 2022 (preprint 2020)
Coding Theory
G. Cavicchioni, and A. Meneghetti, “The weight distribution of codes over finite chain rings”
Linear Algebra and its Applications, 2023A. Meneghetti, M. Pellegrini and M. Sala, “A formula on the weight distribution of linear codes with applications to AMDS codes”
Finite Fields and Their Applications, vol. 77, n. 101933, 2022A. Tomasi, A. Meneghetti and M. Sala, “Code generator matrices as RNG conditioners”
Finite Fields and Their Applications, vol. 47, pp. 46–63, 2017E. Guerrini, A. Meneghetti and M. Sala, “On optimal nonlinear systematic codes”
IEEE Transactions on Information Theory, vol. 62, no. 6, pp. 3103–3112, 2016