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Security Notions for the VeraGreg Framework and Their Reductions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F20%3A00341148" target="_blank" >RIV/68407700:21230/20:00341148 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21240/20:00341148

  • Result on the web

    <a href="https://doi.org/10.1109/ISEA-ISAP49340.2020.234994" target="_blank" >https://doi.org/10.1109/ISEA-ISAP49340.2020.234994</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1109/ISEA-ISAP49340.2020.234994" target="_blank" >10.1109/ISEA-ISAP49340.2020.234994</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Security Notions for the VeraGreg Framework and Their Reductions

  • Original language description

    Homomorphic encryption enables computations with encrypted data, however, in its plain form, it does not guarantee that the computation has been performed honestly. For the Fully Homomorphic Encryption (FHE), a verifiable variant emerged soon after the introduction of FHE itself, for a single-operation homomorphic encryption (HE), particular verifiable variant has been introduced recently, called the VeraGreg Framework. In this paper, we identify a weakness of List Non-Malleability as defined for the VeraGreg framework—an analogy to the classical Non-Malleability—and define a stronger variant, which addresses the weakness and which we show not to be strengthenable any more. Next, we suggest a decomposition of the abstract VeraGreg framework, introduce novel notions of security for the resulting components and show some reductions between them and/or their combinations. We conjecture that VeraGreg achieves the strongest (and desirable) security guarantee if and only if its building blocks achieve certain, much more tangible properties. Finally, we suggest a simplification to the original VeraGreg instantiation, which now relies on hardness of particular kind of the famous Shortest Vector Problem for lattices.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    ISEA-ISAP 2020

  • ISBN

    978-1-7281-6708-4

  • ISSN

  • e-ISSN

  • Number of pages

    13

  • Pages from-to

    8-20

  • Publisher name

    IEEE Xplore

  • Place of publication

  • Event location

    Guwahati

  • Event date

    Feb 27, 2020

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article