Building group key establishment on group theory: A modular approach Articles uri icon

publication date

  • February 2020

start page

  • 1

end page

  • 11


  • 2, 197


  • 12

Electronic International Standard Serial Number (EISSN)

  • 2073-8994


  • A group key establishment protocol is presented and proven secure in the common reference string mode. The protocol builds on a group-theoretic assumption, and a concrete example can be obtained with a decision Diffie-Hellman assumption. The protocol is derived from a two-party solution by means of a protocol compiler presented by Abdalla et al. at TCC 2007, evidencing the possibility of meaningfully integrating cryptographic and group-theoretic tools in cryptographic protocol design. This compiler uses a standard ring configuration, where all users behave symmetrically, exchanging keys with their left and right neighbor, which are later combined to yield a shared group key.


  • Computer Science
  • Electronics
  • Mathematics


  • group key establishment; group theory; protocol compiler; provable security