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Efficient and secure multi secret sharing schemes based on boolean XOR and arithmetic modulo

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Abstract

Multi Secret Sharing (MSS) scheme is an efficient method of transmitting more than one secret securely. In (n,n)-MSS schemen secrets are used to createn shares and for reconstruction, alln shares are required. In state of the art schemesn secrets are used to constructn orn + 1 shares, but one can recover partial secret information from less thann shares. There is a need to develop an efficient and secure (n,n)-MSS scheme so that the threshold property can be satisfied. In this paper, we propose three different (n,n)-MSS schemes. In the first and second schemes, Boolean XOR is used and in the third scheme, we used Modular Arithmetic. For quantitative analysis, Similarity metrics, Structural, and Differential measures are considered. A proposed scheme using Modular Arithmetic performs better compared to Boolean XOR. The proposed (n,n)-MSS schemes outperform the existing techniques in terms of security, time complexity, and randomness of shares.

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Authors and Affiliations

  1. National Institute of Technology, NH 58, Srinagar, Uttarakhand, 246174, India

    Maroti Deshmukh

  2. Malviya National Institute of Technology, Jaipur, 302017, India

    Maroti Deshmukh, Neeta Nain & Mushtaq Ahmed

Authors
  1. Maroti Deshmukh

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  2. Neeta Nain

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  3. Mushtaq Ahmed

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Correspondence toMaroti Deshmukh.

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Deshmukh, M., Nain, N. & Ahmed, M. Efficient and secure multi secret sharing schemes based on boolean XOR and arithmetic modulo.Multimed Tools Appl77, 89–107 (2018). https://doi.org/10.1007/s11042-016-4229-x

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