One of the modern applications of cryptography is the sharing of secrets in occurrence keys. Indeed, the need to establish a shared secret key in a multi-user system clearly remains a major problem of trust between users. Therefore, one solution is to share this secret key between users seamlessly. New technologies embedded systems such as sensor networks provide an ideal platform for sharing secrets. In addition, elliptic curves offer an adequate solution for reducing the size of keys, which is suitable for embedded systems. In this article, we propose an approach for sharing a secret leaked in a QR code adapted for a multiuser system, where each user has the ability to verify its share by an access structure. The system allows a recovery without loss of data in this case the QR code used.
In distributed systems, as any network architecture, cryptography has a vital role in communication security, and sharing a secret represents a jump in this field where the secret depends on a group instead of a single person. In this article, the authors propose a method to share a multi secrets matrix represented by an image, that could be reconstructed without any loss by an access structure over a distributed system. The presented approach has a verifiable property, where each candidate possesses the advantage to verify the validity of his shadow. The security level of the scheme is based on elliptic curve discrete logarithm problem and the opportunity of allowing each side to generate a private sub-secret key for the sharing. The benefit of this method is justified by the absence of information loss and a lower timing results.
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