SEC 1: Elliptic Curve Cryptography

Standards for Efficient Cryptography SEC 1: Elliptic Curve Cryptography Certicom Research Contact: Daniel R. L. Brown May 21, 2009. Version c 2009 Certicom Corp. License to copy this document is granted provided it is identified as Standards for Efficient Cryptography 1 (SEC 1) , in all material mentioning or referencing it. SEC 1 Ver. Contents 1 Introduction 1. Overview .. 1. Aim .. 1. Compliance .. 1. Document Evolution .. 2. Intellectual Property .. 2. Organization .. 2. 2 Mathematical Foundations 3. Finite Fields .. 3. The Finite Field Fp .. 3. The Finite Field F2m .. 4. Elliptic curves .. 6. Elliptic curves over Fp .. 6. Elliptic curves over F2m .. 7. Data Types and Conversions .. 8. Bit-String-to-Octet-String Conversion .. 9. Octet-String-to-Bit-String Conversion .. 10. Elliptic - Curve -Point-to-Octet-String Conversion .. 10. Octet-String-to- Elliptic - Curve -Point Conversion .. 11. Field-Element-to-Octet-String Conversion .. 12. Octet-String-to-Field-Element Conversion.

IEEE 1363 [1363], and recommendation NIST SP 800-56 [800-56A], but restricting the op-tions allowed in these standards to increase the likelihood of interoperability and to ensure conformance with as many standards as possible. • Thirdly, to help ensure ongoing detailed analysis of ECC by cryptographers by clearly, com-

Loading..

Tags:

  Ieee, Curves, Cryptography, Elliptic curve cryptography, Elliptic

Information

Related search queries