NIST Special Publication 800 -56A Revision 3 Recommendation for Pair -Wise Key-Establishment Schemes Using Discrete Logarithm Cryptography Elaine Barker Lily Chen Allen Roginsky Apostol Vassilev Richard Davis This publication is available free of charge from: https://doi.org/10.6028/NIST.SP.800 -56Ar3 C O M P U T E R S E C U R I T Y NIST Special Publication 800 -56A Revision 3 Recommendation for Pair-Wise Key - Establishment Schemes Using Discrete Logarithm Cryptography Elaine Barker Lily Chen Allen Roginsky Apostol Vassilev Computer Security Division Information Technology Laboratory Richard Davis National Security Agency This publication is available free of charge from: https://doi.org/10.6028/NIST.SP.800 -56Ar3 April 2018 U.S. Department of Commerce Wilbur L. Ross , Jr., Secretary National Institute of Standards and Technology Walter Copan, NIST Director and Under Secretary of Commerce for Standards and Technology NIST SP 800-56A REV. 3 RECOMMENDATION FOR PAIR-WISE KEY ESTABLISHMENT USING DISCRETE LOGARITHM CRYPTOGRAPHY i Authority This publication has been developed by the National Institute of Standards and Technology ( NIST ) in accordance with its statutory responsibilities under the Federal Information Security Modernization Act (FISMA) of 2014, 44 U.S.C. § 3551 et seq. , Public Law (P.L.) 113- 283. NIST is responsible for developing information security standards and guidelines, incl uding minimum requirements for f ederal information systems, but such standards and guidelines shall not apply to national securit y systems without the express approval of appropriate f ederal officials exercising policy authority over such systems. This guideline is consistent with the requirements of the Office of Management and Budget (OMB) Circular A -130. Nothing in this publication should be taken to contradict the standards and guidelines made mandatory and binding on f ederal agencies by the Secretary of Commerce under statutory authority. Nor should these guidelines be interpreted as altering or superseding the existing authorit ies of the Secretary of Commerce, Director of the OMB, or any other f ederal official. This publication may be used by nongovernmental organizations on a voluntary basis and is not subject to copyright in the United States. Attribution would, however, be a ppreciated by NIST. National Institute of Standards and Technology Special Publication 800- 56A Revision 3 Natl. Inst. Stand. Technol. Spec. Publ. 800- 56A Rev. 3, 151 pages (April 2018) CODEN: NSPUE2 This publication is available free of charge from: https://doi.org/10.6028/ NIST.SP.800 -56Ar3 Certain commercial entities, equipment, or materials may be identified in this document in order to describe an experimental procedure or concept adequately. Such identification is not intended to imply recommendation or endorsement by NIST, nor is it intended to imply that the entities, materials, or equipment are necessarily the best available for the purpose. There may be references in this publication to other publications currently under development by NIST in accordance with its assigned statutory responsibilities. The information in this pub lication, including concepts and methodologies, may be used by federal agencies even before the completion of such companion publications. Thus, until each publication is completed, current requirements, guideline s, and procedures, where they exist, remain operative. For planning and transition purposes, federal agencies may wish to closely follow the development of these new publications by NIST. Organizations are encouraged to review all draft publications during public comment periods and provide feedback to NIST. Many NIST cybersecurity publications , ot her than the ones noted above, are available at https://csrc.nist.gov/publicat