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Proposition aimed at 1/2/3/4 of the last section of the question: chained hybrid encryption. We'll use A fast symmetric authenticated encryption scheme, such as AES-GCM or ChaCha20-Poly1305 with 256-bit secret key, encryption with key $K$ noted $C=E_K(M)$ and decryption $M=D_K(C)$. An asymmetric encryption scheme capable of encrypting 256-bit messages, with ...


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Alternatively, is there a way to generate three random number sequences R1, R2, R3 from three keys K1, K2, K3 such that R1 XOR R2 XOR R3 = 0? That part's easy; we can just define: $$R1 = \text{SHAKE}(K1) \oplus \text{SHAKE}(K2)$$ $$R2 = \text{SHAKE}(K3) \oplus \text{SHAKE}(K1)$$ $$R3 = \text{SHAKE}(K2) \oplus \text{SHAKE}(K3)$$ (where $\text{SHAKE}$ can be, ...


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