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We present a rank metric code-based encryption scheme with key and ciphertextsizes comparable to that of isogeny-based cryptography for an equivalentsecurity level. The system also benefits from efficient encryption anddecryption algorithms, which rely on linear algebra operations over finitefields of moderate sizes. The security only relies on rank metric decodingproblems, and does not require to hide the structure of a code. Based on thecurrent knowledge, those problems cannot be efficiently solved by a quantumcomputer. Finally, the proposed scheme admits a failure probability that can beprecisely controlled and made as low as possible.

RAMESSES, a Rank Metric Encryption Scheme with Short Keys