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We propose and analyze an interleaved variant of Loidreau's rank-metriccryptosystem based on rank multipliers. We analyze and adapt several attacks onthe system, propose design rules, and study weak keys. Finding secure instancesrequires near-MRD rank-metric codes which are not investigated in theliterature. Thus, we propose a random code construction that makes use of thefact that short random codes over large fields are MRD with high probability.We derive an upper bound on the decryption failure rate and give exampleparameters for potential key size reduction.

Interleaving Loidreau's Rank-Metric Cryptosystem