Mathematics (Sep 2024)

Attribute-Based Designated Combiner Transitive Signature Scheme

  • Shaonan Hou,
  • Shaojun Yang,
  • Chengjun Lin

DOI
https://doi.org/10.3390/math12193070
Journal volume & issue
Vol. 12, no. 19
p. 3070

Abstract

Read online

Transitive signatures allow any entity to obtain a valid signature of (i,k) by combining signatures of (i,j) and (j,k). However, the traditional transitive signature scheme does not offer fine-grained control over the combiner. To address this issue, we propose a formal definition of the attribute-based designated combiner transitive signature (ABDCTS) and its security model, where only entities whose inherent attributes meet the access policy can combine signatures. By introducing the fine-grained access control structure, control over the combiner is achieved. To demonstrate the feasibility of our primitive, this paper presents the first attribute-based designated combiner transitive signature scheme. Under an adaptive chosen-message attack, we prove its security based on the one-more CDH problem and the co-CDH problem, and that its algorithms have robustness.

Keywords