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    CAN CSA-ISO IEC 15946-1-2009 Information technology - Security techniques - Cryptographic techniques based on elliptic curves - Part 1 General (Incorporates Corrigendum 1 January 2.pdf

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    CAN CSA-ISO IEC 15946-1-2009 Information technology - Security techniques - Cryptographic techniques based on elliptic curves - Part 1 General (Incorporates Corrigendum 1 January 2.pdf

    1、Information technology Security techniques Cryptographic techniques based on elliptic curves Part 1: GeneralCAN/CSA-ISO/IEC 15946-1-09National Standard of Canada(ISO/IEC 15946-1:2008, IDT)NOT FOR RESALE.PUBLICATION NON DESTINE LA REVENTE.Legal Notice for StandardsCanadian Standards Association (CSA)

    2、 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 and establish

    3、es 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, including, without

    4、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 information publis

    5、hed 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 LIABLE FOR ANY

    6、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, TORT (INCLUDING

    7、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 not undertaking

    8、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 contents, and CS

    9、A 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 enforce complianc

    10、e 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 are protected

    11、by copyright, all trade-marks (except as otherwise noted to the contrary), and all inventions and trade secrets that may be contained in this document, whether or not such inventions and trade secrets are protected by patents and applications for patents. Without limitation, the unauthorized use, mo

    12、dification, 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 by law, CSA res

    13、erves 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 standard are expre

    14、ssly 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 following:If this

    15、 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 authorized by C

    16、SA 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 electronic copy

    17、 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 constitutes y

    18、our acceptance of the terms and conditions of this Legal Notice.Information technology Security techniques Cryptographic techniques based on elliptic curves Part 1: GeneralTechnical Corrigendum 1:2013 (IDT) toNational Standard of CanadaCAN/CSA-ISO/IEC 15946-1-09(ISO/IEC 15946-1:2008, IDT)NOT FOR RES

    19、ALE. / PUBLICATION NON DESTINE LA REVENTE.Standards Update ServiceTechnical Corrigendum 1:2013 toCAN/CSA-ISO/IEC 15946-1-09January 2013Title:Information technology Security techniqu es Cryptographic te chniques based on elliptic curves Part 1: GeneralPagination:1 pageTo register for e-mail notificat

    20、ion about any updates to this publicationgo to shop.csa.caclick on CSA Update ServiceThe List ID that you will need to register for updates to this publication is 2419938.If you require assistance, please e-mail techsupportcsagroup.org or call 416-747-2233.Visit CSA Groups policy on privacy at csagr

    21、oup.org/legal to find out how we protect your personal information.ICS 35.040 Ref. No. ISO/IEC 15946-1:2008/Cor.1:2009(E) ISO/IEC 2009 All rights reserved INTERNATIONAL STANDARD ISO/IEC 15946-1:2008 TECHNICAL CORRIGENDUM 1 Published 2009-02-15 INTERNATIONAL ORGANIZATION FOR STANDARDIZATION ORGANISAT

    22、ION INTERNATIONALE DE NORMALISATIONINTERNATIONAL ELECTROTECHNICAL COMMISSION COMMISSION LECTROTECHNIQUE INTERNATIONALEInformation technology Security techniques Cryptographic techniques based on elliptic curves Part 1: General TECHNICAL CORRIGENDUM 1 Technologies de linformation Techniques de scurit

    23、 Techniques cryptographiques bases sur les courbes elliptiques Partie 1: Gnralits RECTIFICATIF TECHNIQUE 1 Technical Corrigendum 1 to ISO/IEC 15946-1:2008 was prepared by Joint Technical Committee ISO/IEC JTC 1, Information technology, Subcommittee SC 27, IT Security techniques. Page iii, Contents A

    24、dd the following entry above the entry for Bibliography: “Annex D (informative) Summary of coordinates 28” Page 1, 2.2 Convert the existing note to NOTE 1 and add the following new note: “NOTE 2 A definition of a cubic curve is given in bibliography item 16.” Page 30, Bibliography Delete item 3. Tec

    25、hnical Corrigendum 1:2013 to CAN/CSA-ISO/IEC 15946-1-09Copyright NoticeThis Amendment to the International Standard contains information copyright protected by the International Organization for Standardization (ISO) and the International Electrotechnical Commission (IEC). Except as permitted under

    26、the laws of Canada, no extract of this Amendment to the International Standard may be reproduced, stored in any retrieval system, or transmitted in any form or by any means, electronic, photocopying, recording, or otherwise, without prior permission from the Standards Council of Canada (SCC). Reques

    27、ts for permission to reproduce this Amendment to the International Standard or parts thereof should be addressed to Manager, Technical Document Centre Standards Council of Canada 270 Albert Street, Suite 200 Ottawa, Ontario K1P 6N7 The Canadian adoption of this Amendment to the International Standar

    28、d contains information copyright protected by CSA Group. All rights reserved. No part of this adopted Amendment may be reproduced in any form whatsoever without the prior permission of the publisher. ISO/IEC material is reprinted with permission. Requests for permission to reproduce this adopted Ame

    29、ndment or parts thereof should be addressed to Manager, Sales CSA Group 5060 Spectrum Way, Suite 100 Mississauga, Ontario L4W 5N6Copyright violators will be prosecuted to the full extent of the law.PRINTED IN CANADAIMPRIMEAU CANADA100%CSA Group prints its publications on Rolland Enviro100, which con

    30、tains 100%recycled post-consumer fibre, is EcoLogo and Processed Chlorine Free certified, and was manufactured using biogas energy.CSA Standards Update ServiceCAN/CSA-ISO/IEC 15946-1-09October 2009Title:Information technology Secu rity techniques Cryptogr aphic techniques based on elliptic curves Pa

    31、rt1:GeneralPagination:41 pages (CSA/1CSA/5, iv, and 31 text, including ISO/IEC Technical Corrigendum 1:2009)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

    32、will need to register for updates to this publication is 2419938.If you require assistance, 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.TheCanadianStandardsAssociation(CSA),under whos

    33、e auspices this National Standard hasbeen produced, was chartered in 1919 andaccredited 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 st

    34、andards reflect a national consensus ofproducers and users including manufacturers,consumers, retailers, unions and professionalorganizations, and governmental agencies. Thestandards are used widely by industry and commerceand often adopted by municipal, provincial, andfederal governments in their r

    35、egulations, particularlyin the fields of health, safety, building andconstruction, 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

    36、objectives through sustainingmemberships. The more than 7000 committeevolunteers 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 Associatio

    37、n offers certification and testingservices in support of and as an extension to 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 lab

    38、oratorycomplex in Toronto, CSA has regional branch officesin major centres across 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

    39、 provide anopen and effective forum for activities facilitating theexchange of goods 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,

    40、Suite 100Mississauga, Ontario, L4W 5N6CanadaTheStandardsCouncilofCanada(SCC) 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 pr

    41、incipal objects of the SCC are to fosterand promote voluntary standardization 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 internationalcooperat

    42、ion in the field of standards.A National Standard of Canada (NSC) is a standardprepared 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 t

    43、he continuing responsibility ofthe SDO. An NSC reflects a consensus of a number 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 int

    44、erests, as may be appropriate to thesubject in hand. It normally is a standard 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

    45、cautionedto obtain the latest edition from the SDO whichpublishes the standard.The responsibility for approving standards asNational Standards of Canada rests with theStandards Council of Canada270 Albert Street, Suite 200Ottawa, Ontario, K1P 6N7CanadaAlthoughtheintendedprimaryapplicationofthisStand

    46、ardisstatedinitsScope,itisimportanttonotethatitremainstheresponsibilityoftheuserstojudgeitssuitabilityfortheirparticularpurpose.Registeredtrade-markofCanadianStandardsAssociationCettenormeestofferteenanglaisseulementpourlemoment.LaCSApublieralaversionenfranaisdsquelleseraproduiteparlorganismerdacteu

    47、r.Reviewed byNational 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 Cou

    48、ncil of CanadaCAN/CSA-ISO/IEC 15946-1-09Information technology Security techniques Cryptographic techniques based on elliptic curves Part1:GeneralPrepared by InternationalOrganizationforStandardization/ International Electrotechnical CommissionCAN/CSA-ISO/IEC 15946-1-09Information technology Securi

    49、ty techniques Cryptographictechniques based on elliptic curves Part1:GeneralCSA/4 Canadian Standards Association October 2009CAN/CSA-ISO/IEC 15946-1-09Information technology Security techniques Cryptographic techniques based on elliptic curves Part1:GeneralCSA PrefaceStandards development within the Information Technology sector is harmonized with international standards development. Through the CSA


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