GAO Y, HUANG C H, LIANG Z Q, et al.Verifiable secret sharing scheme based on SM2 and SM4 signcryption[J].Journal of Henan Polytechnic University(Natural Science) ,2022,41(5):146-152.

doi:10.16186/j.cnki.1673-9787.2021090040

Received:2021/09/11

Revised:2021/10/28

Published:2022/09/25

Verifiable secret sharing scheme based on SM2 and SM4 signcryption

GAO Yan1, HUANG Chenghang1, LIANG Zuoquan2, FENG Sifeng2

1.College of Computer Science and Technology，Henan Polytechnic University，Jiaozuo  454000，Henan，China；2.Puhua Trust Information Technology Limited Company，Shanghai  201499，China

Abstract:In classic Shamir-（t，n）secret sharing scheme，some participants provided invalid sub-secrets，which led to the failure of secret reconstruction and security risks.Therefore，a verifiable secret sharing scheme based on SM2 and SM4 signcryption was designed in this paper.The distributor divided the secret into n sub-secrets，then SM2 and SM4 signcryption schemes were used to signcrypt the sub-secrets.The generated n signcryption data were distributed to n participants successively.When the original secret was needed to be restored，any t participants participated in secret reconstruction could recover the original secret，but before reconstruction，the signcryption data of participants should be decrypted and verified，if the validation failed，the scheme would reject the reconstruction.The decrypted t sub-secrets could be reconstructed to recover the original secret.The scheme could dynamically set the threshold value t and the value of participant n according to the actual needs.The correctness，security and unforgeability of the scheme were proved by simulation experiments.

Key words:Shamir secret sharing;SM2 and SM4 signcryption;verifiability;secret reconstruction

 基于SM2与SM4签密的可验证秘密共享方案_高岩.pdf