We describe a simple, efficient, security primitive based on the Luby-Rackoff (Feistel) construction with small random functions. We show that recovering the internal state of the primitive is NP-Complete. We describe two simple symmetric-key cryptosystems based on the primitive. Turtle is a recursively-structured variable-length block cipher. Hare is a simple keystream generator. The ciphers are efficient on modern computers, and appear to resist various known attacks.
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