Selected Areas in Cryptography

Volume 5381 of the series Lecture Notes in Computer Science pp 35-50

On Software Parallel Implementation of Cryptographic Pairings

  • Philipp GrabherAffiliated withMerchant Venturers Building, University of Bristol
  • , Johann GroßschädlAffiliated withMerchant Venturers Building, University of Bristol
  • , Dan PageAffiliated withMerchant Venturers Building, University of Bristol

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A significant amount of research has focused on methods to improve the efficiency of cryptographic pairings; in part this work is motivated by the wide range of applications for such primitives. Although numerous hardware accelerators for pairing evaluation have used parallelism within extension field arithmetic to improve efficiency, thus far less emphasis has been placed on software exploitation of similar. In this paper we focus on parallelism within one pairing evaluation (intra-pairing), and parallelism between different pairing evaluations (inter-pairing). We identify several methods for exploiting such parallelism (extending previous results in the context of ECC) and show that it is possible to accelerate pairing evaluation by a significant factor in comparison to a naive approach.