Abstract
The traditional digital multi-signature schemes are mostly based on large integer factorization and the discrete logarithm, which cannot be secured in quantum environment. The paper presents a lattice-based multi-signature scheme that can resist the quantum attack using the hardness of average-case short integer solution problem (SIS). Multi-signature includes the simultaneous signature and sequential signature. The paper describes respectively the key generation, multi-signature generation and multi-signature verification of the two types of schemes. Moreover, experimental results prove that the digital multi-signature scheme based on lattice is especially efficient and secure to multi-signature generation.
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