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Another Look at Aggregate Signatures: Their Capability and Security on Network Graphs

  • Naoto YanaiEmail author
  • Masahiro Mambo
  • Kazuma Tanaka
  • Takashi Nishide
  • Eiji Okamoto
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9565)

Abstract

Aggregate signatures are digital signatures where n signers sign n individual documents and can aggregate individual signatures into a single short signature. Although aggregate signatures are expected to enhance the security of network applications, the capability and the security of aggregate signatures have not yet been discussed when the signatures are generated by a group of signers whose relationships are expressed as network. In this paper, we take into account the fact that various network applications can be mathematically idealized as network called network graphs, and discuss the properties of aggregate signatures on network graphs. We show that it is difficult to apply aggregate signatures to the network graphs. More precisely, we show that sequential aggregate signatures (Eurocrypt 2004) are incompatible with the network graphs and also general aggregate signatures (Crypto 2003) are broken by some generic attack. Additionally, we propose two generic approaches to overcoming the problems: restricting the number of signers and utilizing ring homomorphism, and give a security proof of aggregate signatures in each of these approaches.

Keywords

Aggregate signatures Sequential aggregate signatures Cryptographic protocols Provable security Graph theory 

Notes

Acknowledgement

Part of this research is supported by JSPS A3 Foresight Program. The first author is also supported by Support Center for Advanced Telecommunications Technology Research and JSPS KAKENHI Grant Numbers 26880012, 26330151. We would like to appreciate their supports. We would also like to appreciate Shin-Akarui-Angou-Benkyou-Kai for their valuable comments.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Naoto Yanai
    • 1
    • 2
    Email author
  • Masahiro Mambo
    • 3
  • Kazuma Tanaka
    • 4
  • Takashi Nishide
    • 4
  • Eiji Okamoto
    • 4
  1. 1.Osaka UniversityOsakaJapan
  2. 2.AISTOsakaJapan
  3. 3.Kanazawa UniversityKanazawaJapan
  4. 4.University of TsukubaTsukubaJapan

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