Abstract
The development of quantum technology is changing with each passing day. While bringing convenience to us, the security problems it brings cannot be underestimated. By studying the multivariate cryptography and coding cryptography in anti-quantum cryptography, the core mapping of the improved version of Simple Matrix scheme is modified by LRPC code, which combines the MQ problem and the decoding difficulty problem, effectively reduces the ciphertext expansion rate and realizes the flexible choice of LRPC codes. Based on the improvement of the trapdoor, a generalized signcryption scheme against quantum is proposed, which proves to meet the security of IND-CCA2 and the security of EUF-CMA. It can realize the adaptive conversion between signature, encryption, signcryption and normal mode, adapt to more complex network communication, and show strong survivability in the post-quantum era.
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