Non-interactive identity-based DNF signature scheme and its extensions

Kwangsu Lee, Jung Yeon Hwang, Dong Hoon Lee

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)

    Abstract

    An ID-based DNF signature scheme is an ID-based signature scheme with an access structure which is expressed as a disjunctive normal form (DNF) with literals of signer identities. ID-based DNF signature schemes are useful to achieve not only signer-privacy but also a multi-user access control. In this paper, we formally define a notion of a (non-interactive) ID-based DNF signature and propose the first non-interactive ID-based DNF signature schemes that are secure under the computational Diffie-Hellman and subgroup decision assumptions. Our first scheme uses random oracles, and our second one is designed without random oracles. To construct the second one, we use a novel technique that converts a non-interactive witness indistinguishable proof system of encryption of one bit into a corresponding proof system of encryption of a bit-string. This technique may be of independent interest. The second scheme straightforwardly yields the first ID-based ring signature that achieves anonymity against full key exposure without random oracles. We finally present two extensions of the proposed ID-based DNF signature schemes to support multiple KGCs and different messages.

    Original languageEnglish
    Pages (from-to)743-769
    Number of pages27
    JournalBulletin of the Korean Mathematical Society
    Volume46
    Issue number4
    DOIs
    Publication statusPublished - 2009

    Keywords

    • Access structure
    • Disjunctive normal form
    • Identity-based signature
    • Signer anonymity

    ASJC Scopus subject areas

    • General Mathematics

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