cronokirby

(2026-05) Miraidon; MinRank Identification

2026-05-19

Abstract

We introduce Miraidon\textit{Miraidon}, a new family of MinRank-based post-quantum signature schemes built from a novel zero-knowledge proof system. Our primary construction, Miraidon-S\textit{Miraidon-S}, is a digital signature scheme with competitive public key and signature sizes, improved soundness parameters, and security based on the hardness of the MinRank problem. Building on this framework, we further construct Miraidon-RS\textit{Miraidon-RS}, a ring signature scheme, and introduce Miraidon-LRS\textit{Miraidon-LRS}, the first linkable ring signature scheme based on the MinRank problem. We present concrete parameters and comparisons with contemporary lattice- and code-based ring and linkable ring signatures, showing that MinRank provides a promising foundation for efficient advanced post-quantum signature primitives.