Abstract

The present paper builds upon prior research on an id scheme that utilizes a compact knapsack problem defined by a single equation. We introduce a three-move id scheme founded on a compact knapsack problem defined by an integer matrix. Through our analysis, we investigate the possible lattice-based attacks on this problem. Additionally, we present the corresponding digital signature gained through the Fiat–Shamir transform and demonstrate its security under ROM. These cryptographic primitives are potentially post quantum resistant.

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