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PEPEC: Precomputed ECC Points Embedded in Certificates and Verified by CT Log Servers

  • Guangshen Cheng
  • , Jiankuo Dong*
  • , Xinyi Ji
  • , Bingyu Li
  • , Haoling Fan
  • , Pinchang Zhang
  • *Corresponding author for this work
  • University of Science and Technology of China
  • Nanjing University of Posts and Telecommunications
  • CAS - Institute of Information Engineering

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Elliptic curve cryptography (ECC) is respected in public key infrastructures (PKIs) due to its high performance and small key size. However, for some client devices with limited computing resources, signature verification and key agreement using the ECC public key is computationally difficult which mainly due to the complexity of scalar multiplication. The window non-adjacent form algorithm can be used to improve the performance of the elliptic curve public key operation, which is combining the window method with the Non-adjacent form representation (w-NAF). Compared with fixed-point scalar multiplication using the offline precomputed table, for the unknown-point multiplication of ECC public key operation, a pre-computed table needs to be generated online. In this paper, a novel efficient certificate scheme called PEPEC (Precomputed ECC Points Embedded in Certificates) is proposed to integrate the w-NAF into CT (Certificate Transparency) which is a trusted enhancement for PKI. By using the PEPEC certificate, the client can improve the performance of the public key operation by more than 10%, with the offline-generated precomputed table of the w-NAF algorithm. The correctness of the precomputed table is provided by CT. Our PEPEC certificate is compatible with the existing standardized PKI system. The client can select the optimal window size of the w-NAF algorithm according to the current situation of computing resources to improve the performance of the public key operation.

Original languageEnglish
Title of host publicationApplied Cryptography and Network Security Workshops - ACNS 2022 Satellite Workshops, AIBlock, AIHWS, AIoTS, CIMSS, Cloud S and P, SCI, SecMT, SiMLA, Proceedings
EditorsJianying Zhou, Sudipta Chattopadhyay, Sridhar Adepu, Cristina Alcaraz, Lejla Batina, Emiliano Casalicchio, Chenglu Jin, Jingqiang Lin, Eleonora Losiouk, Suryadipta Majumdar, Weizhi Meng, Stjepan Picek, Yury Zhauniarovich, Jun Shao, Chunhua Su, Cong Wang, Saman Zonouz
PublisherSpringer Science and Business Media Deutschland GmbH
Pages447-460
Number of pages14
ISBN (Print)9783031168147
DOIs
StatePublished - 2022
EventSatellite Workshops on AIBlock, AIHWS, AIoTS, CIMSS, Cloud S and P, SCI, SecMT, SiMLA 2022, held in conjunction with the 20th International Conference on Applied Cryptography and Network Security, ACNS 2022 - Rome, Italy
Duration: 20 Jun 202223 Jun 2022

Publication series

NameLecture Notes in Computer Science
Volume13285 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceSatellite Workshops on AIBlock, AIHWS, AIoTS, CIMSS, Cloud S and P, SCI, SecMT, SiMLA 2022, held in conjunction with the 20th International Conference on Applied Cryptography and Network Security, ACNS 2022
Country/TerritoryItaly
CityRome
Period20/06/2223/06/22

Keywords

  • Certificate
  • Certificate Transparency
  • ECC
  • PKI
  • w-NAF

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