BS ISO/IEC 15946-5:2022

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Information security. Cryptographic techniques based on elliptic curves – Elliptic curve generation

Published By	Publication Date	Number of Pages
BSI	2022	44

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Description

PDF Catalog

PDF Pages	PDF Title
2	National foreword
6	Foreword
7	Introduction
9	1 Scope 2 Normative references 3 Terms and definitions
10	4 Symbols and conversion functions 4.1 Symbols
11	4.2 Conversion functions 5 Conventions for elliptic curves 5.1 Definitions of elliptic curves 5.1.1 Elliptic curves over F(pm)
12	5.1.2 Elliptic curves over F(2m) 5.1.3 Elliptic curves over F(3m) 5.2 Group law on elliptic curves
13	6 Framework for elliptic curve generation 6.1 Trust in elliptic curve 6.2 Overview of elliptic curve generation 7 Verifiably pseudo-random elliptic curve generation 7.1 General 7.2 Constructing verifiably pseudo-random elliptic curves (prime case) 7.2.1 Construction algorithm
15	7.2.2 Test for near primality 7.2.3 Finding a point of large prime order 7.2.4 Verification of elliptic curve pseudo-randomness
16	7.3 Constructing verifiably pseudo-random elliptic curves (binary case) 7.3.1 Construction algorithm
17	7.3.2 Verification of elliptic curve pseudo-randomness
18	8 Constructing elliptic curves by complex multiplication 8.1 General 8.2 Barreto-Naehrig (BN) curve
19	8.3 Barreto-Lynn-Scott (BLS) curve
20	9 Constructing elliptic curves by lifting
22	Annex A (informative) Background information on elliptic curves
24	Annex B (informative) Background information on elliptic curve cryptosystems
27	Annex C (informative) Background information on constructing elliptic curves by complex multiplication
32	Annex D (informative) Numerical examples
40	Annex E (informative) Summary of properties of elliptic curves generated by the complex multiplication method
41	Bibliography

Additional information

Status	Definitive
Pages	44
Publication Date	2022-04-08
ISBN	978 0 539 12474 3
Standard Number	BS ISO/IEC 15946-5:2022
Title	Information security. Cryptographic techniques based on elliptic curves – Elliptic curve generation
Identical National Standard Of	ISO/IEC 15946-5
Replaces	BS ISO/IEC 15946-5:2017
Descriptors	Keys (cryptographic), Curves (geometry), Data security, Data storage protection, Data processing, Cryptography, Elliptical shape
Publisher	BSI
Committee	IST/33/2
ICS Codes	35.030 - IT Security

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BS ISO/IEC 15946-5:2022

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