An efficient and scalable Quasi-aggregate signature scheme based on LFSR sequences

Saikat Chakrabarti, Santosh Chandrasekhar, Mukesh Singhal, Kenneth L. Calvert

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Aggregate signatures can be a crucial building block for providing scalable authentication of a large number of users in several applications like building efficient certificate chains, authenticating distributed content management systems, and securing path vector routing protocols. Aggregate signatures aim to prevent resources (signature and storage elements, and computation) from growing linearly in the number of signers participating in a network protocol. In this paper, we present an efficient and scalable quasi-aggregate signature scheme, CLFSR}-QA, based on third-order linear feedback shift register (cubic LFSR) sequences that can be instantiated using both XTR and GH public key cryptosystems. In the proposed CLFSR-QA construction, signers sign messages sequentially; however, the verfier need not know the order in which messages were signed. The proposed scheme offers constant length signatures, fast signing, aggregation, and verification operations at each node, and requires the least storage elements (public keys needed to verify the signature), compared to any other aggregate signature scheme. To the best of our knowledge, CLFSR-QA is the first aggregate signature scheme to be constructed using LFSR sequences. We believe that the CLFSR-QA signature scheme can be catalytic in improving the processing latency as well as reducing space requirements in building secure, large-scale distributed network protocols. We perform extensive theoretical analysis including correctness and security of CLFSR-QA and also present a performance (computation and communication costs, storage overhead) comparison of the proposed scheme with well-known traditional constructions.

Original languageEnglish
Pages (from-to)1059-1072
Number of pages14
JournalIEEE Transactions on Parallel and Distributed Systems
Issue number7
StatePublished - 2009

Bibliographical note

Funding Information:
Research partially supported by US National Science Foundation (NSF) grants IIS-0324836 and CNS-0626918.


  • Aggregate signature
  • Compressed certificate chain
  • Digital signature
  • Distributed content management
  • LFSR sequences
  • LFSR-based public key cryptosystems
  • Secure path-vector protocols

ASJC Scopus subject areas

  • Signal Processing
  • Hardware and Architecture
  • Computational Theory and Mathematics


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