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BS ISO/IEC 4922-2:2024

BS ISO/IEC 4922-2:2024

$167.15

Information security. Secure multiparty computation – Mechanisms based on secret sharing

Published By Publication Date Number of Pages
BSI 2024 42
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PDF Catalog

PDF Pages PDF Title
2 undefined
7 Foreword
8 Introduction
9 1 Scope
2 Normative references
3 Terms and definitions
11 4 Symbols and abbreviated terms
5 Secure multiparty computation based on secret sharing
5.1 General
12 5.2 Secret sharing
5.3 Secure multiparty computation based on secret sharing
13 6 Addition, subtraction, and multiplication by a constant
6.1 General
6.2 Addition
6.2.1 Addition for the Shamir secret sharing scheme
14 6.2.2 Addition of a constant for the Shamir secret sharing scheme
6.2.3 Addition for the replicated additive secret sharing scheme
6.2.4 Addition of a constant for the replicated additive secret sharing scheme
15 6.3 Subtraction
6.3.1 Subtraction for the Shamir secret sharing scheme
6.3.2 Subtraction of a constant for the Shamir secret sharing scheme
16 6.3.3 Subtraction for the replicated additive secret sharing scheme
6.3.4 Subtraction of a constant for the replicated additive secret sharing scheme
17 6.4 Multiplication by a constant
6.4.1 Multiplication by a constant for the Shamir secret sharing scheme
6.4.2 Multiplication by a constant for the replicated additive secret sharing scheme
18 7 Shared random number generation
7.1 General
7.2 Information-theoretically secure shared random number generation
7.2.1 General-purpose shared random number generation scheme
19 7.2.2 Shared random number generation for the replicated additive secret sharing scheme
7.2.3 Shared random number generation for the Shamir secret sharing scheme
20 7.3 Computationally secure shared random number generation
7.3.1 General
21 7.3.2 Seed sharing phase
7.3.3 Shared random number generation phase for the replicated additive secret sharing scheme
22 7.3.4 Shared random number generation phase for the Shamir secret sharing scheme
23 8 Multiplication
8.1 General
8.2 GRR-multiplication for the Shamir secret sharing scheme
8.2.1 General
8.2.2 Parameters
8.2.3 Multiplication protocol
24 8.2.4 Dot product protocol
8.2.5 Properties
8.3 DN-multiplication for the Shamir secret sharing scheme
8.3.1 General
25 8.3.2 Parameters
8.3.3 Multiplication protocol
8.3.4 Dot product protocol
26 8.3.5 Properties
8.4 CHIKP-multiplication for the replicated additive secret sharing scheme
8.4.1 General
8.4.2 Parameters
8.4.3 Multiplication protocol
8.4.4 Properties
27 8.5 Beaver-multiplication
8.5.1 General
8.5.2 Parameters
8.5.3 Multiplication protocol
8.5.4 Properties
28 9 Secure function evaluation
29 Annex A (normative) Object identifiers
31 Annex B (informative) Numerical examples
40 Annex C (informative) Security considerations
41 Bibliography

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BS ISO/IEC 4922-2:2024
$167.15