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    • 2016 UMKC Theses - Freely Available Online
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    Protected Secret Sharing and its Application to Threshold Cryptography

    Mannava, Spandan
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    Date
    2016
    Format
    Thesis
    Metadata
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    Abstract
    In the secret reconstruction of Shamir’s (t,n) secret sharing scheme (SS), shares released by shareholders need to be protected otherwise, non-shareholders can also obtain the secret. Key establishment protocol can establish pairwise keys for any pair of shareholders. Then, shareholders can use these pairwise keys to protect shares in the secret reconstruction process. However, adding a key establishment in the secret reconstruction slows down the process significantly. Shamir’s SS is based on a univariate polynomial. Shares generated by a bivariate polynomial enable pairwise keys to be shared between any pair of shareholders. But we proposed a new type of SS, called protected secret sharing scheme (PSS), in which shares of shareholders can not only be used to reconstruct the secret but also be used to protect the secrecy of shares in the secret reconstruction process. Thus, the recovered secret is only available to shareholders but not to non-shareholders. A basic (t,n) PSS based on a bivariate polynomial is proposed. Furthermore, we introduce to use this basic PSS in the applications of threshold cryptography. The PSS is unique since it protects the secrecy of the recovered secret in a very efficient way.
    Table of Contents
    Introduction -- Related work -- Our scheme -- Security analysis and performance -- Application to algorithms of threshold cryptography -- Conclusion
    URI
    https://hdl.handle.net/10355/59656
    Degree
    M.S.
    Thesis Department
    Computer Science (UMKC)
    Collections
    • Computer Science and Electrical Engineering Electronic Theses and Dissertations (UMKC)
    • 2016 UMKC Theses - Freely Available Online

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