Abstract
The concept of Hierarchical Deterministic Wallet (HDW) was introduced by Wuille in Bitcoin Improvement Proposal 32 (BIP32). HDW enables an individual/organization to generate cryptographic keys and subsequently ease the key management problems (e.g., backup and recovery). Since the first HDW algorithm in 2012, HDW has gradually shown its fit for many promising use cases, such as Bitcoin-like cryptocurrencies, global key revocation in FIDO2 standard. In order to achieve all the features (i.e., deterministic derivation, master public key and hierarchy) and the security (i.e., safety of cryptocurrencies and privacy protection of users) requirements for HDW, Yin et al. (ESORICS 2022) conceptualized Hierarchical Deterministic Wallet supporting Stealth Address (HDWSA), and gave a provably secure construction from the standard Computational Diffie-Hellman Assumption. Unfortunately, the construction is not quantum-resistant. In this work, we propose the first HDWSA construction from lattices to fill this gap, we provide the security proof for the construction in the random oracle model (ROM) based on hard problems over lattices. Compared with existing works, to the best of our knowledge, our construction not only captures all the HDW features and security properties, but also provides the potential quantum resistance.
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