Password-protected secret sharing (PPSS) schemes allow a user to publicly share its high-entropy secret across different servers and to later recover it by interacting with some of these servers using only his password without requiring any authenticated data. In particular, this secret will remain safe as long as not too many servers get corrupted. However, servers are not always reliable and ...

It is well-known that the linear secret-sharing scheme (LSSS) can be constructed from linear error-correcting codes (Brickell [1], R.J. McEliece and D.V.Sarwate [2],Cramer, el.,[3]). The theory of linear codes from algebraic-geometric curves (algebraic-geometric (AG) codes or geometric Goppa code) has been well-developed since the work of V.Goppa and Tsfasman, Vladut, and Zink( see [17], [18] a...

Title of dissertation: BROADCAST AND VERIFIABLE SECRET SHARING: NEW SECURITY MODELS AND ROUND-OPTIMAL CONSTRUCTIONS Ranjit Kumaresan, Doctor of Philosophy, 2012 Dissertation directed by: Professor Jonathan Katz Department of Computer Science Broadcast and verifiable secret sharing (VSS) are central building blocks for secure multi-party computation. These protocols are required to be resilient ...

A novel verifiable secret sharing method for Verifiable secret sharing (VSS) in halftone image based on linear block code with a parity check matrix is proposed. The proposed method, which not only verifies a secret image but also introduces multiple shadows for multiple users. The proposed method adopts forward error correction code (FEC) strategy based on property of linear block codes. There...

Verifiable Secret Sharing (VSS) is a fundamental tool of cryptography and distributed computing in Internet Things. Since network bandwidth scarce resource, minimizing the number verification data will improve performance VSS. Existing VSS schemes, however, face limitations meeting energy consumptions for low-end devices, which make their adoption challenging resource-limited IoTs. To address a...

A multi-secret sharing scheme allows several secrets to be shared amongst a group of participants. In 2005, Shao and Cao developed a verifiable multi-secret sharing scheme where each participant’s share can be used several times which reduces the number of interactions between the dealer and the group members. In addition, some secrets may require a higher security level than others involving t...

Data storage is an important application of cloud computing, where the users can remotely store their data into the cloud. This new paradigm of data storage service also introduces security challenges, such as Confidentiality, Integrity and Availability of data. The protection of these issues in cloud is a very challenging and potentially formidable task, especially for the users with constrain...