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intelligence_src_e53adb99e40ae66258
observed · 2026-10-12 16:25:04 UTC
ePrint Report: Settling Conjectures on Linear Structures of Inverse ChiChi Generalizations Four Proofs and a Counterexample Hui Wang, Ricardo Rodriguez Reveco, Kai Hu Belkheyar et al. introduced ChiChi as the even-dimensional, low-latency nonlinear core of ChiLow (Eurocrypt 2025), and Andreoli et al. generalized it into the SWAP and 4-cycle families (ToSC 2025/3), conjecturing five bounds on the linear height and component linear nullity of their inverses, supported by experiments in small dimensions. We settle all five conjectures: Conjectures 1–4 hold for every admissible branch length, and Conjecture 5 is false. In addition, we derive consequences for ChiLow's design and correct one value in the data of Andreoli et al.
Fingerprint: 32aeea21d6c1d285654a5937ae61c5bc6a4aad514d2ef676c26cc43f9e55c026
intelligence_src_e53adb99e40ae66258
observed · 2026-10-12 16:25:03 UTC
available
Fingerprint: 366cb966e32414edc1db353849a1ee8d6b8462b83786e04001881ba6594765ad