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SEC 1: Elliptic Curve Cryptography

standards for Efficient CryptographySEC 1: Elliptic Curve CryptographyCerticom ResearchContact: Daniel R. L. Brown 21, 2009 Version 2009 Certicom to copy this document is granted provided it is identified as standards for EfficientCryptography 1 ( sec 1 ) , in all material mentioning or referencing 1 Ver. Overview .. Aim .. Compliance .. Document Evolution .. Intellectual Property .. Organization .. 22 Mathematical Finite Fields .. The Finite FieldFp.. The Finite FieldF2m.. Elliptic curves .. Elliptic curves overFp.. Elliptic curves overF2m.. Data Types and Conversions .. Bit-String-to-Octet-String Conversion.

Standards for Efficient Cryptography SEC 1: Elliptic Curve Cryptography Certicom Research Contact: Daniel R. L. Brown (dbrown@certicom.com) May 21, 2009

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SEC 1: Elliptic Curve Cryptography

www.secg.org

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-

  Ieee, Curves, Cryptography, Elliptic curve cryptography, Elliptic

SEC 1: Elliptic Curve Cryptography

www.secg.org

SEC 1 - 1 Introduction Page 1 1 Introduction 1.1 Overview This document specifies public-key cryptographic schemes based on elliptic curve cryptography (ECC).

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SEC 2: Recommended Elliptic Curve Domain …

www.secg.org

SEC 2 (Draft) Ver. 2.0 2 Recommended Elliptic Curve Domain Parameters over F p This section specifies the elliptic curve domain parameters over F

  Recommended, Parameters, Domain, Curves, Elliptic, Recommended elliptic curve domain, Recommended elliptic curve domain parameters

SEC 2: Recommended Elliptic Curve Domain …

www.secg.org

Page 2 SEC 2: Recommended Elliptic Curve Domain Parameters Ver. 1.0 1.5 Organization This document is organized as follows. The main body of the document focuses on the specification of recommended elliptic curve domain

  Recommended, Parameters, Domain, Curves, Elliptic, Recommended elliptic curve domain, Recommended elliptic curve domain parameters

SEC 2: Recommended Elliptic Curve Domain Parameters

www.secg.org

Here recommended elliptic curve domain parameters are supplied at each of the sizes allowed in SEC 1. ... SEC 2 (Draft) Ver. 2.0 2.1 Properties of Elliptic Curve Domain Parameters over F p F p, followed by a number denoting the length in bits of …

  Recommended, Parameters, Domain, Curves, Elliptic, Recommended elliptic curve domain parameters, Elliptic curve domain parameters

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