intelligence_src_e53adb99e40ae66258
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- Observed
- Oct 08, 2026 14:00 UTC
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- Oct 14, 2026 04:29 UTC
Settling Conjectures on Linear Structures of Inverse ChiChi Generalizations Four Proofs and a Counterexample
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.
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- First reported
- Oct 08, 2026 14:00 UTC
- Last reported
- Oct 08, 2026 14:00 UTC
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- Oct 14, 2026 04:29 UTC
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4b3d7cbde77c73b94e034b7b51be9228a12c1f3ad97b5969c38b9dded55498f8
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