K-XMSS and K-SPHINCS+^+:Hash based Signatures with\\Korean Cryptography Algorithms

Abstract

Hash-Based Signature (HBS) uses a hash function to construct a digital signature scheme, where its security is guaranteed by the collision resistance of the hash function used. To provide sufficient security in the post-quantum environment, the length of hash should be satisfied. Modern HBS can be classified into stateful and stateless schemes. Two representative stateful and stateless HBS are XMSS and SPHINCS+^+, respectively. In this paper, we propose two HBS schemes: K-XMSS and K-SPHINCS+^+, which replace internal hash functions of XMSS and SPHINCS+^+ with Korean cryptography algorithms. K-XMSS is a stateful signature, while K-SPHINCS+^+ is its stateless counterpart. We also showcase the reference implementation of K-XMSS and K-SPHINCS+^+ employing LSH and two hash functions based on block ciphers (i.e. CHAM and LEA) as the internal hash function. The reference code is developed as a proof-of-concept, which can be optimized for better performance using advanced implementation techniques (e.g. AVX2 and NEON)

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