Publications
- FOLEAGE: F4OLE-Based Multi-Party Computation for Boolean Circuits, Dung Bui, Maxime Bombar, Geoffroy Couteau, Clément Ducros and Sacha Servan-Schreiber, ASIACRYPT 2024 (ePrint,Springer)
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New method to transform OLE over the field $F_4$ into OLE over field $F_2$, and optimizations of previous PCG based and the QA-SD assumption to target the $F_4$ field. - Correlated Pseudorandomness from the Hardness of Quasi-Abelian Decoding, Maxime Bombar, Geoffroy Couteau, Alain Couvreur, and Clément Ducros in CRYPTO 2023 (ePrint,Springer)
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We introduce a new PCG for OLE over any field $F_q, q > 2$ , based on a new variant of the Syndrom Decoding assumption, named the Quasi-Abelian Syndrom Decoding. Previous construction (Efficient Pseudorandom Correlation Generators from Ring-LPN ,Boyle et al., CRYPTO 2020) was limited to very big fields. - Pseudorandom Correlation Functions from Variable-Density LPN, Revisited, Geoffroy Couteau and Clément Ducros, in PKC 2023 (ePrint,Springer)
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We improve over the construction given by Boyle et al, Pseudorandom Correlation Functions from Variable-Density LPN (FOCS 2020), which introduced the VDLPN assumption and the PCF. We correct a mistake in the original proof and improve drastrically the efficiency. 