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How to reconstruct (anonymously) a secret cellular automaton

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abstract

We consider threshold secret sharing schemes based on cellular automata (CA) that allows for anonymous reconstruction, meaning that the secret can be recovered only as a function of the shares, without knowing the participants' identities. To this end, we revisit the basic characterization of $(2,n)$ threshold schemes based on CA in terms of Mutually Orthogonal Latin Squares (MOLS), and redefine the secret space as the MOLS family itself, showing that the new resulting scheme enables anonymous reconstruction of secret CA rules. Finally, we discuss the trade-off between the number of secret CA that can be shared and the computational complexity of the recovery phase.

fields

cs.AI 1

years

2026 1

verdicts

UNVERDICTED 1

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  • HAGE: Harnessing Agentic Memory via RL-Driven Weighted Graph Evolution cs.AI · 2026-05-11 · unverdicted · none · ref 78 · internal anchor

    HAGE proposes a trainable weighted graph memory framework with LLM intent classification, dynamic edge modulation, and RL optimization that improves long-horizon reasoning accuracy in agentic LLMs over static baselines.