research-article

Compressing Vector OLE

Authors:

Geoffroy Couteau,

Yuval IshaiAuthors Info & Claims

CCS '18: Proceedings of the 2018 ACM SIGSAC Conference on Computer and Communications Security

Pages 896 - 912

https://doi.org/10.1145/3243734.3243868

Published: 15 October 2018 Publication History

Abstract

Oblivious linear-function evaluation (OLE) is a secure two-party protocol allowing a receiver to learn any linear combination of a pair of field elements held by a sender. OLE serves as a common building block for secure computation of arithmetic circuits, analogously to the role of oblivious transfer (OT) for boolean circuits. A useful extension of OLE is vector OLE (VOLE), allowing the receiver to learn any linear combination of two vectors held by the sender. In several applications of OLE, one can replace a large number of instances of OLE by a smaller number of instances of VOLE. This motivates the goal of amortizing the cost of generating long instances of VOLE. We suggest a new approach for fast generation of pseudo-random instances of VOLE via a deterministic local expansion of a pair of short correlated seeds and no interaction. This provides the first example of compressing a non-trivial and cryptographically useful correlation with good concrete efficiency. Our VOLE generators can be used to enhance the efficiency of a host of cryptographic applications. These include secure arithmetic computation and non-interactive zero-knowledge proofs with reusable preprocessing. Our VOLE generators are based on a novel combination of function secret sharing (FSS) for multi-point functions and linear codes in which decoding is intractable. Their security can be based on variants of the learning parity with noise (LPN) assumption over large fields that resist known attacks. We provide several constructions that offer tradeoffs between different efficiency measures and the underlying intractability assumptions.

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Index Terms

Compressing Vector OLE
1. Security and privacy
  1. Cryptography
    1. Public key (asymmetric) techniques
      1. Public key encryption

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cover image ACM Conferences

CCS '18: Proceedings of the 2018 ACM SIGSAC Conference on Computer and Communications Security

October 2018

2359 pages

ISBN:9781450356930

DOI:10.1145/3243734

General Chairs:
David Lie
University of Toronto
,
Mohammad Mannan
Concordia University
,
Program Chairs:
Michael Backes
CISPA Helmholtz Center i.G.
,
XiaoFeng Wang
Indiana University

Copyright © 2018 ACM.

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Published: 15 October 2018

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AFOSR Award
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grant from the Ministry of Science and Technology Israel and Department of Science and Technology Government of India
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CCS '18: 2018 ACM SIGSAC Conference on Computer and Communications Security

October 15 - 19, 2018

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CCS '18 Paper Acceptance Rate 134 of 809 submissions, 17%;

Overall Acceptance Rate 1,261 of 6,999 submissions, 18%

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Santos MMateus PVlachou C(2024)Quantum Universally Composable Oblivious Linear EvaluationQuantum10.22331/q-2024-10-23-15078(1507)Online publication date: 23-Oct-2024
https://doi.org/10.22331/q-2024-10-23-1507
Jain ALin HSahai A(2024)Indistinguishability Obfuscation from Well-Founded AssumptionsCommunications of the ACM10.1145/361109567:3(97-105)Online publication date: 22-Feb-2024
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Dao QJain AJin Z(2024)Non-interactive Zero-Knowledge from LPN and MQAdvances in Cryptology – CRYPTO 202410.1007/978-3-031-68400-5_10(321-360)Online publication date: 16-Aug-2024
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Baum CMelissaris NRachuri RScholl P(2024)Cheater Identification on a Budget: MPC with Identifiable Abort from Pairwise MACsAdvances in Cryptology – CRYPTO 202410.1007/978-3-031-68397-8_14(454-488)Online publication date: 16-Aug-2024
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