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Vol. 209, Issue 2, February 2017, pp. 65-73




An Ideal Multi-Secret Sharing Scheme with Verification

1, * Arup Kumar CHATTOPADHYAY, 2 Amitava NAG and 3 Koushik MAJUMDER

1 Department of Computer Science and Engineering, Academy of Technology, Hooghly, 712121, India
2 Department of Information Technology, Academy of Technology, Hooghly, 712121, India
3 Department of Computer Science and Engineering, Maulana Abul Kalam Azad University of Technology, Kolkata, West Bengal, 700064, India
* Tel.: 9339770502

* E-mail: ardent.arup@gmail.com


Received: 23 January 2017 /Accepted: 23 February 2017 /Published: 28 February 2017

Digital Sensors and Sensor Sysstems


Abstract: The (T, n) - threshold secret sharing scheme proposed by Shamir (1979) encodes the secret key into n shares and those shares are distributed among the participants. Each share incorporates an x-value uniquely designated for every single participant. If the shares are distributed on insecure (or public) channels, malicious users may acquire a few (or all) shares. If the number of shares obtained by the malicious users is t or more ( n), then malicious users can reconstruct the secret. Chattopadhyay, et al. (2016) proposed a scheme for the distribution of shares with RSA to encrypt the x-values at insecure channel along with verification, such that the secrecy of shares and secret both are maintained. A verifiable (t, k, n) threshold multi-secret sharing scheme is proposed in this paper which extends the work proposed by Chattopadhyay, et al. (2016). The proposed scheme is ideal as the sizes of the shares are of same as that of the secrets.


Keywords: Secret sharing, Multi-secret sharing, Verifiable, Hash function, RSA.


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