IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i3p305-d728210.html
   My bibliography  Save this article

Lightweight Secure Integer Comparison

Author

Listed:
  • Thijs Veugen

    (TNO, Unit ICT, 2509 JE The Hague, The Netherlands
    Centrum Wiskunde & Informatica, Cryptology Department, 1098 XG Amsterdam, The Netherlands)

Abstract

We solve the millionaires problem in the semi-trusted model with homomorphic encryption without using intermediate decryptions. This leads to the computationally least expensive solution with homomorphic encryption so far, with a low bandwidth and very low storage complexity. The number of modular multiplications needed is less than the number of modular multiplications needed for one Pallier encryption. The output of the protocol can be either publicly known, encrypted, or secret-shared. The private input of the first player is computationally secure towards the second player, and the private input of the second player is even unconditionally secure towards the first player. We also introduce an efficient client-server solution for the millionaires problem with similar security properties.

Suggested Citation

  • Thijs Veugen, 2022. "Lightweight Secure Integer Comparison," Mathematics, MDPI, vol. 10(3), pages 1-18, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:305-:d:728210
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/3/305/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/3/305/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:305-:d:728210. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.