Cheating-immune secret sharing schemes from codes and cumulative arrays

被引：5

作者：

dela Cruz, Romar ^{[1
,2
]}

Wang, Huaxiong ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 639798, Singapore

[2] Univ Philippines Diliman, Inst Math, Quezon City, Philippines

来源：

CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2013年 / 5卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Secret sharing; Boolean function; Linear code; Cumulative array; Perfect hash family;

D O I：

10.1007/s12095-012-0076-4

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A cheating-immune secret sharing scheme prevents a cheater, who submits a corrupted share, from gaining an advantage in knowing the secret over the honest participants. We revisit two methods, that uses linear codes, to construct Boolean functions satisfying multiple cryptographic criteria. We show that these methods can be used to build new cheating-immune (n, n)-secret sharing schemes. We also revisit two general constructions of secret sharing schemes using cumulative arrays and apply them to build cheating-immune (t, n)-threshold secret sharing schemes.

引用

页码：67 / 83

页数：17

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