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Elliptic Curve Pairing Stealth Address Protocols

Marija Mikic, Mihajlo Srbakoski

TL;DR

Four SA protocols that use elliptic curve pairing as a cryptographic solution and it is found that ECPDKSAPs give significantly better results than DKSAP with the view tag, and ECPSKSAP is significantly slower, but it provides an interesting theoretical result.

Abstract

Protecting the privacy of blockchain transactions is extremely important for users. Stealth address protocols (SAP) allow users to receive assets via stealth addresses that they do not associate with their stealth meta-addresses. SAP can be generated using different cryptographic approaches. DKSAP uses an elliptic curve multiplication and hashing of the resulting shared secret. Another approach is to use a elliptic curve pairing. This paper presents four SA protocols that use elliptic curve pairing as a cryptographic solution. ECPDKSAPs are pairing-based protocols that include viewing key and spending key, while ECPSKSAP is a pairing-based protocol that uses a single key with which spending and the viewing key are derived. We find that ECPDKSAPs give significantly better results than DKSAP with the view tag. The best results are achieved with Protocol 3 (Elliptic Curve Pairing Dual Key Stealth Address Protocol), which is Ethereum-friendly. ECPSKSAP is significantly slower, but it provides an interesting theoretical result as it uses only one private key.

Elliptic Curve Pairing Stealth Address Protocols

TL;DR

Four SA protocols that use elliptic curve pairing as a cryptographic solution and it is found that ECPDKSAPs give significantly better results than DKSAP with the view tag, and ECPSKSAP is significantly slower, but it provides an interesting theoretical result.

Abstract

Protecting the privacy of blockchain transactions is extremely important for users. Stealth address protocols (SAP) allow users to receive assets via stealth addresses that they do not associate with their stealth meta-addresses. SAP can be generated using different cryptographic approaches. DKSAP uses an elliptic curve multiplication and hashing of the resulting shared secret. Another approach is to use a elliptic curve pairing. This paper presents four SA protocols that use elliptic curve pairing as a cryptographic solution. ECPDKSAPs are pairing-based protocols that include viewing key and spending key, while ECPSKSAP is a pairing-based protocol that uses a single key with which spending and the viewing key are derived. We find that ECPDKSAPs give significantly better results than DKSAP with the view tag. The best results are achieved with Protocol 3 (Elliptic Curve Pairing Dual Key Stealth Address Protocol), which is Ethereum-friendly. ECPSKSAP is significantly slower, but it provides an interesting theoretical result as it uses only one private key.
Paper Structure (19 sections, 2 equations, 9 figures, 2 tables)

This paper contains 19 sections, 2 equations, 9 figures, 2 tables.

Table of Contents

  1. Introduction
  2. Related work
  3. Elliptic curve pairing
  4. Stealth address protocols based on pairing
  5. ECPDKSAPs (Elliptic Curve Pairing Dual-Key Stealth Address Protocols)
  6. Spending and viewing key
  7. Protocol 1
  8. Protocol 2
  9. Protocol 3
  10. View tag
  11. ECPSKSAP (Elliptic Curve Pairing Single-Key Stealth Address Protocol)
  12. Security analysis
  13. Implementation results and optimizations
  14. Comparison of ECPDKSAPs and ECPSKSAP
  15. Comparison of view tags
  16. ...and 4 more sections

Figures (9)

  • Figure 1: Dual-Key Stealth Address Protocol
  • Figure 2: BaseSAP
  • Figure 3: Elliptic Curve Pairing Dual-Key Stealth Address Protocol 1
  • Figure 4: Elliptic Curve Pairing Dual-Key Stealth Address Protocol 2
  • Figure 5: Elliptic Curve Pairing Dual-Key Stealth Address Protocol 3
  • ...and 4 more figures