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ISO/IEC 4922-2:2024

(Main)

Information security — Secure multiparty computation — Part 2: Mechanisms based on secret sharing

Information security — Secure multiparty computation — Part 2: Mechanisms based on secret sharing

This document specifies the processes for secure multiparty computation mechanisms based on the secret sharing techniques which are specified in ISO/IEC 19592-2. Secure multiparty computation based on secret sharing can be used for confidential data processing. Examples of possible applications include collaborative data analytics or machine learning where data are kept secret, secure auctions where each bidding price is hidden, and performing cryptographic operations where the secrecy of the private keys is maintained. This document specifies the mechanisms including but not limited to addition, subtraction, multiplication by a constant, shared random number generation, and multiplication with their parameters and properties. This document describes how to perform a secure function evaluation using these mechanisms and secret sharing techniques.

Sécurité de l'information — Calcul multipartite sécurisé — Partie 2: Mécanismes basés sur le partage de secret

General Information

Status
Published
Publication Date
05-Mar-2024
ICS
35.030 - IT Security
Technical Committee
ISO/IEC JTC 1/SC 27 - Information security, cybersecurity and privacy protection
Drafting Committee
ISO/IEC JTC 1/SC 27/WG 2 - Cryptography and security mechanisms
Current Stage
6060 - International Standard published
Start Date
06-Mar-2024
Due Date
15-Mar-2024
Completion Date
06-Mar-2024
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ISO/IEC 4922-2:2024 - Information security — Secure multiparty computation — Part 2: Mechanisms based on secret sharing Released:6. 03. 2024ISO/IEC 4922-2:2024 - Information security — Secure multiparty computation — Part 2: Mechanisms based on secret sharing Released:6. 03. 2024
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ISO/IEC 4922-2:2024 - Information security — Secure multiparty computation — Part 2: Mechanisms based on secret sharing Released:6. 03. 2024
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ISO/IEC FDIS 4922-2 - Information security — Secure multiparty computation — Part 2: Mechanisms based on secret sharing Released:10. 10. 2023ISO/IEC FDIS 4922-2 - Information security — Secure multiparty computation — Part 2: Mechanisms based on secret sharing Released:10. 10. 2023
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ISO/IEC FDIS 4922-2 - Information security — Secure multiparty computation — Part 2: Mechanisms based on secret sharing Released:10. 10. 2023
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REDLINE ISO/IEC FDIS 4922-2 - Information security — Secure multiparty computation — Part 2: Mechanisms based on secret sharing Released:10. 10. 2023REDLINE ISO/IEC FDIS 4922-2 - Information security — Secure multiparty computation — Part 2: Mechanisms based on secret sharing Released:10. 10. 2023
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REDLINE ISO/IEC FDIS 4922-2 - Information security — Secure multiparty computation — Part 2: Mechanisms based on secret sharing Released:10. 10. 2023
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Standards Content (Sample)

International
Standard
ISO/IEC 4922-2
First edition
Information security — Secure
2024-03
multiparty computation —
Part 2:
Mechanisms based on secret sharing
Sécurité de l'information — Calcul multipartite sécurisé —
Partie 2: Mécanismes basés sur le partage de secret
Reference number
ISO/IEC 4922-2:2024(en) © ISO/IEC 2024

---------------------- Page: 1 ----------------------
ISO/IEC 4922-2:2024(en)
COPYRIGHT PROTECTED DOCUMENT
© ISO/IEC 2024
All rights reserved. Unless otherwise specified, or required in the context of its implementation, no part of this publication may
be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting on
the internet or an intranet, without prior written permission. Permission can be requested from either ISO at the address below
or ISO’s member body in the country of the requester.
ISO copyright office
CP 401 • Ch. de Blandonnet 8
CH-1214 Vernier, Geneva
Phone: +41 22 749 01 11
Email: copyright@iso.org
Website: www.iso.org
Published in Switzerland

© ISO/IEC 2024 – All rights reserved
ii

---------------------- Page: 2 ----------------------
ISO/IEC 4922-2:2024(en)
Contents Page
Foreword .v
Introduction .vi
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Symbols and abbreviated terms. 3
5 Secure multiparty computation based on secret sharing . 3
5.1 General .3
5.2 Secret sharing . .4
5.3 Secure multiparty computation based on secret sharing .4
6 Addition, subtraction, and multiplication by a constant . 5
6.1 General .5
6.2 Addition .5
6.2.1 Addition for the Shamir secret sharing scheme .5
6.2.2 Addition of a constant for the Shamir secret sharing scheme .6
6.2.3 Addition for the replicated additive secret sharing scheme.6
6.2.4 Addition of a constant for the replicated additive secret sharing scheme .6
6.3 Subtraction.7
6.3.1 Subtraction for the Shamir secret sharing scheme .7
6.3.2 Subtraction of a constant for the Shamir secret sharing scheme .
...

FINAL
INTERNATIONAL ISO/IEC
DRAFT
STANDARD FDIS
4922-2
ISO/IEC JTC 1/SC 27
Information security — Secure
Secretariat: DIN
multiparty computation —
Voting begins on:
2023-10-24
Part 2:
Voting terminates on:
Mechanisms based on secret sharing
2023-12-19
RECIPIENTS OF THIS DRAFT ARE INVITED TO
SUBMIT, WITH THEIR COMMENTS, NOTIFICATION
OF ANY RELEVANT PATENT RIGHTS OF WHICH
THEY ARE AWARE AND TO PROVIDE SUPPOR TING
DOCUMENTATION.
IN ADDITION TO THEIR EVALUATION AS
Reference number
BEING ACCEPTABLE FOR INDUSTRIAL, TECHNO-
ISO/IEC FDIS 4922-2:2023(E)
LOGICAL, COMMERCIAL AND USER PURPOSES,
DRAFT INTERNATIONAL STANDARDS MAY ON
OCCASION HAVE TO BE CONSIDERED IN THE
LIGHT OF THEIR POTENTIAL TO BECOME STAN-
DARDS TO WHICH REFERENCE MAY BE MADE IN
NATIONAL REGULATIONS. © ISO/IEC 2023

---------------------- Page: 1 ----------------------
ISO/IEC FDIS 4922-2:2023(E)
FINAL
INTERNATIONAL ISO/IEC
DRAFT
STANDARD FDIS
4922-2
ISO/IEC JTC 1/SC 27
Information security — Secure
Secretariat: DIN
multiparty computation —
Voting begins on:
Part 2:
Voting terminates on:
Mechanisms based on secret sharing
COPYRIGHT PROTECTED DOCUMENT
© ISO/IEC 2023
All rights reserved. Unless otherwise specified, or required in the context of its implementation, no part of this publication may
be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting on
the internet or an intranet, without prior written permission. Permission can be requested from either ISO at the address below
or ISO’s member body in the country of the requester.
RECIPIENTS OF THIS DRAFT ARE INVITED TO
ISO copyright office
SUBMIT, WITH THEIR COMMENTS, NOTIFICATION
OF ANY RELEVANT PATENT RIGHTS OF WHICH
CP 401 • Ch. de Blandonnet 8
THEY ARE AWARE AND TO PROVIDE SUPPOR TING
CH-1214 Vernier, Geneva
DOCUMENTATION.
Phone: +41 22 749 01 11
IN ADDITION TO THEIR EVALUATION AS
Reference number
Email: copyright@iso.org
BEING ACCEPTABLE FOR INDUSTRIAL, TECHNO­
ISO/IEC FDIS 4922­2:2023(E)
Website: www.iso.org
LOGICAL, COMMERCIAL AND USER PURPOSES,
DRAFT INTERNATIONAL STANDARDS MAY ON
Published in Switzerland
OCCASION HAVE TO BE CONSIDERED IN THE
LIGHT OF THEIR POTENTIAL TO BECOME STAN­
DARDS TO WHICH REFERENCE MAY BE MADE IN
ii
  © ISO/IEC 2023 – All rights reserved
NATIONAL REGULATIONS. © ISO/IEC 2023

---------------------- Page: 2 ----------------------
ISO/IEC FDIS 4922-2:2023(E)
Contents Page
Foreword .v
Introduction . vi
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Symbols and abbreviated terms.3
5 Secure multiparty computation based on secret sharing . 3
5.1 General . 3
5.2 Secret sharing . . 4
5.3 Secure multiparty computation based on secret sharing . 4
6 Addition, subtraction, and multiplication by a constant . 5
6.1 General . 5
6.2 Addition .
...

Revised text of ISO/IEC DIS FDIS 4922--2:2023(E)
Style Definition: Heading 1: Indent: Left: 0 pt, First
line: 0 pt, Tab stops: Not at 21.6 pt
ISO/IEC JTC 1/SC 27/WG 2
Style Definition: Heading 2: Font: Bold, Tab stops: Not
at 18 pt
Date: 2023-11-03
Style Definition: Heading 3: Font: Bold
Secretariat: DIN
Style Definition: Heading 4: Font: Bold
Style Definition: Heading 5: Font: Bold
Date: 2023-10-09
Style Definition: Heading 6: Font: Bold
Information security — Secure multiparty computation —
Style Definition: ANNEX
Part 2: Mechanisms based on secret sharing
Style Definition: zzCopyright
Sécurité de l’information — Calcul multipartite sécurisé — Partie 2: Mécanismes basés sur le partage
Style Definition: Body Text Indent 2
secret
Style Definition: Body Text Indent 3
Style Definition: AMEND Terms Heading: Font: Bold
Style Definition: AMEND Heading 1 Unnumbered:
Font: Bold
Formatted

---------------------- Page: 1 ----------------------
Revised text of ISO/IEC DIS FDIS 4922-2:2023(E)
Formatted: Font: 11.5 pt
Formatted: Justified, Line spacing: Exactly 11 pt
Formatted: Font: 11.5 pt
© ISO 2023
All rights reserved. Unless otherwise specified, or required in the context of its implementation, no
Formatted: Indent: Left: 0 pt, Right: 0 pt
part of this publication may be reproduced or utilized otherwise in any form or by any means,
electronic or mechanical, including photocopying, or posting on the internet or an intranet, without
prior written permission. Permission can be requested from either ISO at the address below or
ISO’sISO's member body in the country of the requester.
ISO copyright officeCopyright Office
Formatted: Indent: Left: 0 pt, First line: 0 pt, Right: 0
pt
CP 401 • Ch. de Blandonnet 8
CH-1214 Vernier, Geneva
Formatted: Indent: Left: 0 pt, First line: 0 pt, Right: 0
pt
Phone: + 41 22 749 01 11
Formatted: English (United Kingdom)
Formatted: English (United Kingdom)
Fax: +41 22 749 09 47
Formatted: English (United Kingdom)
Email: copyright@iso.org
Email: copyright@iso.org
Website: www.iso.orgwww.iso.org
Formatted: Indent: Left: 0 pt, First line: 0 pt, Right: 0
pt
Published in Switzerland.
Formatted: Indent: Left: 0 pt, Right: 0 pt
Formatted: Font: 9 pt
Formatted: Font: 9 pt
Formatted: Space Before: 12 pt
ii © ISO/IEC 2023 – All rights reserved

---------------------- Page: 2 ----------------------
Revised text of ISO/IEC DIS FDIS 4922-2:2023(E)
Formatted: Font: 11.5 pt
Formatted: Line spacing: Exactly 11 pt
Formatted: Font: 11.5 pt
Contents
Foreword . vi
Introduction. vii
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Symbols and abbreviated terms . 3
5 Secure multiparty computation based on secret sharing . 4
5.1 General . 4
5.2 Secret sharing . 4
5.3 Secure multiparty computation based on secret sharing . 4
6 Addition, subtraction, and multiplication by a constant. 5
6.1 General . 5
6.2 Addition . 6
6.2.1 Addition for the Shamir secret sharing scheme . 6
6.2.2 Addition to a constant for the Shamir secret sharing scheme . 6
6.2.3 Addition for the replicated additive secret sharing scheme .
...

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