Integral Multiset: A Novel Framework for Integral Attacks over Finite Fields

ePrint Report: Integral Multiset: A Novel Framework for Integral Attacks over Finite Fields

Weizhe Wang, Deng Tang

In recent years, symmetric primitives that focus on arithmetic metrics over large finite fields, characterized as arithmetization-oriented (\texttt{AO}) ciphers, are widely used in advanced protocols such as secure multi-party computations (MPC), fully homomorphic encryption (FHE) and zero-knowledge proof systems (ZK). To ensure good performance in protocols, these \texttt{AO} ciphers are commonly designed with a small number of multiplications over finite fields and low …

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