A Construction Method of Niederreiter Public-Key Cryptosystem Based on Quantum LDPC Codes

Quantum public-key cryptosystem includes unconditionally secure quantum public-key cryptographic algorithm and computationally secure quantum public-key cryptographic algorithm. This paper presents a quantum Niederreiter public-key cryptosystem by using quantum stabilizer LDPC codes. Constructed key based on quantum LDPC codes directly. Take advantage of the sparsity of LDPC codes. Compared with McEliece public-key cryptosystem, Encoding complexity is reduced. Its security relies on the fact that NPC problem can not be solved on quantum Turing machines.