Authors - Ahmed Alansary, Molham Mohamed, Ali Hamdi Abstract - Quantum secret sharing (QSS) scheme is a cryptographic protocol for sharing a secret among parties in a secure way, such that only the set of all authorized parties can reconstruct the secret using the quantum information. In this manuscript, a multi-secret sharing scheme (namely, qMSS) is proposed and analyzed utilizing a quantum error-correcting code (CSS code) for generating and reconstructing shares. qMSS generates n quantum shares of an m(≤ k)-bit classical secret using [[n,k,d]]q CSS code and distributes shares among n participants. This work generalizes the sharing of one-bit classical secret, utilizing CSS codes, proposed by Sarvepalli and Klappenecker. The set of all authorized parties is identified by minimal codewords associated with the classical code underlying the CSS code. The proposed qMSS is a perfect multi-secret sharing scheme due to the set of all unauthorized parties is unable to obtain any information about the secret.
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