4 Contributo in Atti di Convegno (Proceeding)

4 Contributo in Atti di Convegno (Proceeding): [26652] Home page macrotipologia

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4.1 Contributo in Atti di convegno 20017
4.2 Abstract in Atti di convegno 5680
4.3 Poster 955

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A Framework for Group Action-Based Multi-signatures and Applications to LESS, MEDS, and ALTEQ

A multi-signature scheme allows a list of signers to sign a common message. They are widely used in scenarios where the same message must be signed and transmitted by. N users, and, instead of concatenating. N individual signatures, employing a multi-signature can reduce the data to be sent. In recent years there have been numerous practical proposals in the discrete logarithm setting, such as MuSig2 (CRYPTO’21) for the Schnorr signature. Recently, these attempts have been extended to post-qu...

Enhancing Threshold Group Action Signature Schemes: Adaptive Security and Scalability Improvements

Designing post-quantum digital signatures is a very active research area at present, with several protocols being developed, based on a variety of mathematical assumptions. Many of these signatures schemes can be used as a basis to define more advanced schemes, such as ring or threshold signatures, where multiple parties are involved in the signing process. Unfortunately, the majority of these protocols only considers a static adversary, that must declare which parties to corrupt at the begin...

Cutting the GRASS: Threshold GRoup Action Signature Schemes

Group actions are fundamental mathematical tools, with a long history of use in cryptography. Indeed, the action of finite groups at the basis of the discrete logarithm problem is behind a very large portion of modern cryptographic systems. With the advent of post-quantum cryptography, however, other group actions, such as isogeny-based ones, received interest from the cryptographic community, attracted by the possibility of translating old discrete logarithm-based functionalities. Usually...

History-Free Sequential Aggregation of Hash-and-Sign Signatures

A sequential aggregate signature (SAS) scheme allows multiple users to sequentially combine their respective signatures in order to reduce communication costs. Historically, early proposals required the use of trapdoor permutation (e.g., RSA). In recent years, a number of attempts have been made to extend SAS schemes to post-quantum assumptions. Many post-quantum signatures have been proposed in the hash-and-sign paradigm, which requires the use of trapdoor functions and appears to be an idea...

Quadratic Modelings of Syndrome Decoding

This paper presents enhanced reductions of the bounded-weight and exact-weight Syndrome Decoding Problem (SDP) to a system of quadratic equations. Over F2, we improve on a previous work and study the degree of regularity of the modeling of the exact weight SDP. Additionally, we introduce a novel technique that transforms SDP instances over Fq into systems of polynomial equations and thoroughly investigate the dimension of their varieties. Experimental results are prov...

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