ISO/IEC INTERNATIONAL STANDARD 29150 First edition 2011-12-15 Information technology Security techniques Signcryption Technologies de I'information Techniques de sécurité Signcryptage Reference number ISO/IEC 29150:2011(E) ISo IEC @ISO/IEC2011 THS under Not for Resale ISO/IEC 29150:2011(E) COPYRIGHTPROTECTEDDOCUMENT ISO/IEC2011 All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying and microfilm, without permission in writing from either isO at the address below or isO's memberbody inthe country of the requester. ISO copyright office Case postale 56 . CH-1211 Geneva 20 Tel. + 41 22 749 01 11 Fax + 41 22 749 09 47 E-mail [email protected] Web www.iso.org Published in Switzerland ISO/IEc2011-Allrightsreserved itted without license from IHS Not for Resale ISO/IEC 29150:2011(E) Contents Page Foreword Introduction. .vi 1 Scope 2 Normative references.. 3 Terms and definitions . 4 Symbols and notations. 5 Finite fields and elliptic curves.. 5.1 Finite fields.. 5.2 Elliptic curves .. 9 6 Conversion functions... 10 6.1 Bits and strings .... 6.2 Conversion between bit strings and integers ... 11 6.3 Conversion between finite field elements and integers/bit strings 11 6.4 Conversion between points on elliptic curves and bit strings...... 11 L Cryptographic transformations .. 12 7.1 Introduction...... 12 7.2 Cryptographic hash functions .. 12 7.2.1 Standard cryptographic hash functions... 12 7.2.2 Full domain cryptographic hash functions ..... 12 7.2.2.1 General .... 12 7.2.2.2/ Allowable full domain cryptographic hash function (FDH1). 13 7.3 Keyderivationfunctions...... 13 8 General model for signcryption.. 13 9 Discrete logarithm based signcryption mechanism (DLSC). 15 9.1 Introduction.... 9.2 Specific requirements. .15 9.3 System wide parameters . 15 9.4 Key generation algorithm... 16 9.5 Signcryption algorithm... 16 9.6 Unsigncryption algorithm... 10 Elliptic curve based signcryption mechanism (ECDLSC).. 18 10.1 Introduction... 18 10.2 Specific requirements.... 10.3 Systemwideparameters 18 10.4 Key generation algorithm... 19 10.5 Signcryption algorithm.... 19 10.6 Unsigncryption algorithm.... 11 Integer factorization based signcryption mechanism (IFsc) ... 11.1 Introduction.... 21 11.2 Specific requirements. 22 11.3 System wide parameters ..... 11.4 Key generation algorithm .. 22 11.5 Signcryption algorithm. 22 11.6 Unsigncryption algorithm.. 23 12 Encrypt-then-sign-based mechanism (Ets) 26 12.1 Introduction....... Copyrgh Intematinal Organization for stanardizatin All rights reserved ii sefrom IHS Not for Resale