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Silverman, J.H. (2009) The Arithmetic of Elliptic Curves. In: Graduate Texts in Mathematics, Vol. 106, Springer, New York.
https://doi.org/10.1007/978-0-387-09494-6

has been cited by the following article:

• TITLE: Construction and Implementation of a Privacy-Preserving Identity-Based Encryption Architecture

  AUTHORS: David Bissessar, Carlisle Adams

  KEYWORDS: Identity-Based Encryption (IBE), Digital Credentials (DC), Privacy, Pairing-Based Cryptography, Supersingular Elliptic Curve, q-Torsion Group

  JOURNAL NAME: Journal of Information Security, Vol.14 No.4, August 31, 2023

  ABSTRACT: A recent proposal by Adams integrates the digital credentials (DC) technology of Brands with the identity-based encryption (IBE) technology of Boneh and Franklin to create an IBE scheme that demonstrably enhances privacy for users. We refer to this scheme as a privacy-preserving identity-based encryption (PP-IBE) construction. In this paper, we discuss the concrete implementation considerations for PP-IBE and provide a detailed instantiation (based on q-torsion groups in supersingular elliptic curves) that may be useful both for proof-of-concept purposes and for pedagogical purposes.