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arXiv · 2510.03752

Public-Key Encryption from the MinRank Problem

Rohit Chatterjee·Changrui Mu·Prashant Nalini Vasudevan
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Abstract

We construct a public-key encryption scheme from the hardness of the (planted) MinRank problem over uniformly random instances. This corresponds to the hardness of decoding random linear rank-metric codes. Existing constructions of public-key encryption from such problems require hardness for structured instances arising from the masking of efficiently decodable codes. Central to our construction is the development of a new notion of duality for rank-metric codes.

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Rohit Chatterjee, Changrui Mu, Prashant Nalini Vasudevan. 2025-10-04. Public-Key Encryption from the MinRank Problem. https://arxiv.org/abs/2510.03752

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