Nonlinear secret sharing immune against cheating

Josef Pieprzyk; Xian-Mo Zhang

Nonlinear secret sharing immune against cheating

School of Computing

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

Abstract

The paper investigates the design of secret sharing that is immune against cheating (as defined by the Tompa-Woll attack). We examine secret sharing with binary shares and secrets. Bounds on the probability of successful cheating are
given for two cases. The first case relates to secret sharing based on bent functions and results in a non-perfect scheme. The second case considers perfect secret sharing built on highly nonlinear balanced Boolean functions.

Original language	English
Title of host publication	DMS 2001
Subtitle of host publication	Seventh International Conference on Distributed Multimedia Systems : workshop proceedings
Place of Publication	Taipei, Taiwan
Publisher	Tamkang University
Pages	154-161
Number of pages	8
Publication status	Published - 2001
Event	International Workshop on Cryptology and Network Security - Taipei Duration: 26 Sept 2001 → 28 Sept 2001

Workshop

Workshop	International Workshop on Cryptology and Network Security
City	Taipei
Period	26/09/01 → 28/09/01

Cite this

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title = "Nonlinear secret sharing immune against cheating",

abstract = "The paper investigates the design of secret sharing that is immune against cheating (as defined by the Tompa-Woll attack). We examine secret sharing with binary shares and secrets. Bounds on the probability of successful cheating aregiven for two cases. The first case relates to secret sharing based on bent functions and results in a non-perfect scheme. The second case considers perfect secret sharing built on highly nonlinear balanced Boolean functions.",

author = "Josef Pieprzyk and Xian-Mo Zhang",

year = "2001",

language = "English",

pages = "154--161",

booktitle = "DMS 2001",

publisher = "Tamkang University",

address = "Taiwan",

note = "International Workshop on Cryptology and Network Security ; Conference date: 26-09-2001 Through 28-09-2001",

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AU - Pieprzyk, Josef

AU - Zhang, Xian-Mo

PY - 2001

Y1 - 2001

N2 - The paper investigates the design of secret sharing that is immune against cheating (as defined by the Tompa-Woll attack). We examine secret sharing with binary shares and secrets. Bounds on the probability of successful cheating aregiven for two cases. The first case relates to secret sharing based on bent functions and results in a non-perfect scheme. The second case considers perfect secret sharing built on highly nonlinear balanced Boolean functions.

AB - The paper investigates the design of secret sharing that is immune against cheating (as defined by the Tompa-Woll attack). We examine secret sharing with binary shares and secrets. Bounds on the probability of successful cheating aregiven for two cases. The first case relates to secret sharing based on bent functions and results in a non-perfect scheme. The second case considers perfect secret sharing built on highly nonlinear balanced Boolean functions.

M3 - Conference proceeding contribution

SP - 154

EP - 161

BT - DMS 2001

PB - Tamkang University

CY - Taipei, Taiwan

T2 - International Workshop on Cryptology and Network Security

Y2 - 26 September 2001 through 28 September 2001

ER -

Nonlinear secret sharing immune against cheating

Abstract

Workshop

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