CAN CSA-ISO IEC 14888-2-2009 Information technology Security techniques Digital signatures with appendix Part 2 Integer factorization based mechanisms.pdf

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1、Information technology Security techniques Digital signatures with appendix Part 2: Integer factorization based mechanismsCAN/CSA-ISO/IEC 14888-2-09National Standard of Canada(ISO/IEC 14888-2:2008, IDT)NOT FOR RESALE.PUBLICATION NON DESTINE LA REVENTE.Legal Notice for StandardsCanadian Standards Ass

2、ociation (CSA) standards are developed through a consensus standards development process approved by the Standards Council of Canada. This process brings together volunteers representing varied viewpoints and interests to achieve consensus and develop a standard. Although CSA administers the process

3、 and establishes rules to promote fairness in achieving consensus, it does not independently test, evaluate, or verify the content of standards.Disclaimer and exclusion of liabilityThis document is provided without any representations, warranties, or conditions of any kind, express or implied, inclu

4、ding, without limitation, implied warranties or conditions concerning this documents fitness for a particular purpose or use, its merchantability, or its non-infringement of any third partys intellectual property rights. CSA does not warrant the accuracy, completeness, or currency of any of the info

5、rmation published in this document. CSA makes no representations or warranties regarding this documents compliance with any applicable statute, rule, or regulation. IN NO EVENT SHALL CSA, ITS VOLUNTEERS, MEMBERS, SUBSIDIARIES, OR AFFILIATED COMPANIES, OR THEIR EMPLOYEES, DIRECTORS, OR OFFICERS, BE L

6、IABLE FOR ANY DIRECT, INDIRECT, OR INCIDENTAL DAMAGES, INJURY, LOSS, COSTS, OR EXPENSES, HOWSOEVER CAUSED, INCLUDING BUT NOT LIMITED TO SPECIAL OR CONSEQUENTIAL DAMAGES, LOST REVENUE, BUSINESS INTERRUPTION, LOST OR DAMAGED DATA, OR ANY OTHER COMMERCIAL OR ECONOMIC LOSS, WHETHER BASED IN CONTRACT, TO

7、RT (INCLUDING NEGLIGENCE), OR ANY OTHER THEORY OF LIABILITY, ARISING OUT OF OR RESULTING FROM ACCESS TO OR POSSESSION OR USE OF THIS DOCUMENT, EVEN IF CSA HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES, INJURY, LOSS, COSTS, OR EXPENSES.In publishing and making this document available, CSA is no

8、t undertaking to render professional or other services for or on behalf of any person or entity or to perform any duty owed by any person or entity to another person or entity. The information in this document is directed to those who have the appropriate degree of experience to use and apply its co

9、ntents, and CSA accepts no responsibility whatsoever arising in any way from any and all use of or reliance on the information contained in this document. CSA is a private not-for-profit company that publishes voluntary standards and related documents. CSA has no power, nor does it undertake, to enf

10、orce compliance with the contents of the standards or other documents it publishes. Intellectual property rights and ownershipAs between CSA and the users of this document (whether it be in printed or electronic form), CSA is the owner, or the authorized licensee, of all works contained herein that

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12、orized use, modification, copying, or disclosure of this document may violate laws that protect CSAs and/or others intellectual property and may give rise to a right in CSA and/or others to seek legal redress for such use, modification, copying, or disclosure. To the extent permitted by licence or b

13、y law, CSA reserves all intellectual property rights in this document.Patent rightsAttention is drawn to the possibility that some of the elements of this standard may be the subject of patent rights. CSA shall not be held responsible for identifying any or all such patent rights. Users of this stan

14、dard are expressly advised that determination of the validity of any such patent rights is entirely their own responsibility.Authorized use of this documentThis document is being provided by CSA for informational and non-commercial use only. The user of this document is authorized to do only the fol

15、lowing:If this document is in electronic form:.load this document onto a computer for the sole purpose of reviewing it;.search and browse this document; and.print this document if it is in PDF format. Limited copies of this document in print or paper form may be distributed only to persons who are a

16、uthorized by CSA to have such copies, and only if this Legal Notice appears on each such copy.In addition, users may not and may not permit others to.alter this document in any way or remove this Legal Notice from the attached standard;.sell this document without authorization from CSA; or.make an e

17、lectronic copy of this document.If you do not agree with any of the terms and conditions contained in this Legal Notice, you may not load or use this document or make any copies of the contents hereof, and if you do make such copies, you are required to destroy them immediately. Use of this document

18、 constitutes your acceptance of the terms and conditions of this Legal Notice.CSA Standards Update ServiceCAN/CSA-ISO/IEC 14888-2-09October 2009Title: Information technology Security techniques Digital signatures with appendix Part 2: Integer factorization based mechanismsPagination: 77 pages (CSA/1

19、CSA/5, ivi, and 66 text)To register for e-mail notification about any updates to this publicationgo to www.ShopCSA.caclick on E-mail Services under MY ACCOUNTclick on CSA Standards Update ServiceThe List ID that you will need to register for updates to this publication is 2419925.If you require assi

20、stance, please e-mail techsupportcsa.ca or call 416-747-2233.Visit CSAs policy on privacy at www.csagroup.org/legal to find out how we protect your personal information.The Canadian Standards Association (CSA),under whose auspices this National Standard hasbeen produced, was chartered in 1919 andacc

21、redited by the Standards Council of Canadato the National Standards system in 1973. It is anot-for-profit, nonstatutory, voluntary membershipassociation engaged in standards development andcertification activities.CSA standards reflect a national consensus ofproducers and users including manufacture

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23、n, and the environment.Individuals, companies, and associations acrossCanada indicate their support for CSAs standardsdevelopment by volunteering their time and skillsto CSA Committee work and supporting theAssociations objectives through sustainingmemberships. The more than 7000 committeevolunteers

24、 and the 2000 sustaining membershipstogether form CSAs total membership from whichits Directors are chosen. Sustaining membershipsrepresent a major source of income for CSAsstandards development activities.The Association offers certification and testingservices in support of and as an extension to

25、itsstandards development activities. To ensure theintegrity of its certification process, the Associationregularly and continually audits and inspects productsthat bear the CSA Mark.In addition to its head office and laboratorycomplex in Toronto, CSA has regional branch officesin major centres acros

26、s Canada and inspection andtesting agencies in eight countries. Since 1919, theAssociation has developed the necessary expertise tomeet its corporate mission: CSA is an independentservice organization whose mission is to provide anopen and effective forum for activities facilitating theexchange of g

27、oods and services through the use ofstandards, certification and related services to meetnational and international needs.For further information on CSA services, write toCanadian Standards Association5060 Spectrum Way, Suite 100Mississauga, Ontario, L4W 5N6CanadaThe Standards Council of Canada (SCC

28、) is thecoordinating body of the National StandardsSystem, a coalition of independent, autonomousorganizations working towards the furtherdevelopment and improvement of voluntarystandardization in the national interest.The principal objects of the SCC are to fosterand promote voluntary standardizati

29、on as a meansof advancing the national economy, benefiting thehealth, safety, and welfare of the public, assistingand protecting the consumer, facilitating domesticand international trade, and furthering internationalcooperation in the field of standards.A National Standard of Canada (NSC) is a stan

30、dardprepared or reviewed by an accredited StandardsDevelopment Organization (SDO) and approvedby the SCC according to the requirements of CAN-P-2.Approval does not refer to the technical content of thestandard; this remains the continuing responsibility ofthe SDO. An NSC reflects a consensus of a nu

31、mber ofcapable individuals whose collective interests provide,to the greatest practicable extent, a balance ofrepresentation of general interests, producers,regulators, users (including consumers), and otherswith relevant interests, as may be appropriate to thesubject in hand. It normally is a stand

32、ard which iscapable of making a significant and timely contributionto the national interest.Those who have a need to apply standards areencouraged to use NSCs. These standards are subjectto periodic review. Users of NSCs are cautionedto obtain the latest edition from the SDO whichpublishes the stand

33、ard.The responsibility for approving standards asNational Standards of Canada rests with theStandards Council of Canada270 Albert Street, Suite 200Ottawa, Ontario, K1P 6N7CanadaAlthough the intended primary application of this Standard is stated in its Scope, it is importantto note that it remains t

34、he responsibility of the users to judge its suitability for their particular purpose.Registered trade-mark of Canadian Standards AssociationCette norme est offerte en anglais seulement pour le moment. La CSA publiera la version enfranais ds quelle sera produite par lorganisme rdacteur.Reviewed byNat

35、ional Standard of CanadaPublished in October 2009 by Canadian Standards AssociationA not-for-profit private sector organization5060 Spectrum Way, Suite 100, Mississauga, Ontario, Canada L4W 5N61-800-463-6727 416-747-4044Visit our Online Store at www.ShopCSA.caApproved byStandards Council of CanadaCA

36、N/CSA-ISO/IEC 14888-2-09Information technology Security techniques Digital signatures with appendix Part 2: Integer factorization based mechanismsPrepared by International Organization for Standardization/ International Electrotechnical CommissionCAN/CSA-ISO/IEC 14888-2-09Information technology Secu

37、rity techniques Digital signatureswith appendix Part 2: Integer factorization based mechanismsCSA/4 Canadian Standards Association October 2009CAN/CSA-ISO/IEC 14888-2-09Information technology Security techniques Digital signatures with appendix Part 2: Integer factorization based mechanismsCSA Prefa

38、ceStandards development within the Information Technology sector is harmonized with international standards development. Through the CSA Technical Committee on Information Technology (TCIT), Canadians serve as the Canadian Advisory Committee (CAC) on ISO/IEC Joint Technical Committee 1 on Informatio

39、n Technology (ISO/IEC JTC1) for the Standards Council of Canada (SCC), the ISO member body for Canada and sponsor of the Canadian National Committee of the IEC. Also, as a member of the International Telecommunication Union (ITU), Canada participates in the International Telegraph and Telephone Cons

40、ultative Committee (ITU-T).This Standard supersedes CAN/CSA-ISO/IEC 14888-2-02 (adoption of ISO/IEC 14888-2:1999). At the time of publication, ISO/IEC 14888-2:2008 is available from ISO and IEC in English only. CSA will publish the French version when it becomes available from ISO and IEC.This Inter

41、national Standard was reviewed by the CSA TCIT under the jurisdiction of the Strategic Steering Committee on Information Technology and deemed acceptable for use in Canada. From time to time, ISO/IEC may publish addenda, corrigenda, etc. The CSA TCIT will review these documents for approval and publ

42、ication. For a listing, refer to the CSA Information Products catalogue or CSA Info Update or contact a CSA Sales representative. This Standard has been formally approved, without modification, by the Technical Committee and has been approved as a National Standard of Canada by the Standards Council

43、 of Canada.October 2009 Canadian Standards Association 2009All rights reserved. No part of this publication may be reproduced in any form whatsoever without the prior permission of the publisher. ISO/IEC material is reprinted with permission. Where the words “this International Standard” appear in t

44、he text, they should be interpreted as “this National Standard of Canada”.Inquiries regarding this National Standard of Canada should be addressed toCanadian Standards Association5060 Spectrum Way, Suite 100, Mississauga, Ontario, Canada L4W 5N61-800-463-6727 416-747-4000www.csa.caTo purchase CSA St

45、andards and related publications, visit CSAs Online Store at www.ShopCSA.ca or call toll-free 1-800-463-6727 or 416-747-4044.CAN/CSA-ISO/IEC 14888-2-09Information technology Security techniques Digital signatureswith appendix Part 2: Integer factorization based mechanismsOctober 2009 Canadian Standa

46、rds Association CSA/5CSA Standards are subject to periodic review, and suggestions for their improvement will be referred to the appropriate committee. To submit a proposal for change to CSA Standards, please send the following information to inquiriescsa.ca and include “Proposal for change” in the

47、subject line:(a) Standard designation (number);(b) relevant clause, table, and/or figure number;(c) wording of the proposed change; and(d) rationale for the change.Reference numberISO/IEC 14888-2:2008(E)ISO/IEC 2008INTERNATIONAL STANDARD ISO/IEC14888-2Second edition2008-04-15Information technology S

48、ecurity techniques Digital signatures with appendix Part 2: Integer factorization based mechanisms Technologies de linformation Techniques de scurit Signatures numriques avec appendice Partie 2: Mcanismes bass sur une factorisation entire ISO/IEC 14888-2:2008(E) PDF disclaimer This PDF file may cont

49、ain embedded typefaces. In accordance with Adobes licensing policy, this file may be printed or viewed but shall not be edited unless the typefaces which are embedded are licensed to and installed on the computer performing the editing. In downloading this file, parties accept therein the responsibility of not infringing Adobes licensing policy. The ISO Central Secretariat accepts no liability in this area. Adobe is a trademark of Adobe Systems Incorporated. Details of the software products used to create

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