密码学报2024,Vol.11Issue(4) :799-806.DOI:10.13868/j.cnki.jcr.000708

一种可快速验证的可聚合BLS签名方案

An Aggregable BLS Signature Scheme with Fast Verification

潘天雨 赵运磊
密码学报2024,Vol.11Issue(4) :799-806.DOI:10.13868/j.cnki.jcr.000708

一种可快速验证的可聚合BLS签名方案

An Aggregable BLS Signature Scheme with Fast Verification

潘天雨 1赵运磊1
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作者信息

  • 1. 复旦大学计算机科学技术学院,上海 200433
  • 折叠

摘要

BLS签名是一种双线性映射友好椭圆曲线上的数字签名方案,它具有签名大小短、在聚合签名场景中验证高效、支持同态性与非交互聚合等优点.但由于需要进行双线性映射操作,单个BLS签名的验证算法相对较慢,这阻碍了其在区块链系统中进一步的应用.本文提出了一种BLS签名方案的变体—CPABLS,其主要优点如下:第一,将Chaum-Pedersen离散对数相等性证明纳入签名中,使得签名验证算法不再需要双线性映射操作,从而提升了验证速度;第二,在公钥聚合时只需对各个签名者的公钥简单求和,而无需进行大量的标量乘法操作;第三,相比于群G2,签名验证算法可在群Gi中更快地进行哈希到曲线和聚合公钥检验操作.给出了该方案在聚合签名安全模型中的安全证明及原型实现,并进行了性能测试与效率评估.

Abstract

BLS signature is a digital signature scheme over pairing-friendly elliptic curves.It has the advantages of short signature size,efficient aggregate signature verification,supporting homomor-phism and non-interactive aggregation etc.However,due to the need for bilinear mapping operations,the verification algorithm for a single BLS signature is of low efficiency,which hinders its further ap-plication in blockchain system.This paper proposes a variant of BLS signature scheme—CPABLS,its main advantages are as follows:firstly,the Chaum-Pedersen discrete logarithm equality proof is included in the signature,so that the signature verification algorithm no longer needs the bilinear mapping operation,thereby improving the verification efficiency.Secondly,when the public key is aggregated,each signer's public keys can simply be summed without a large number of scalar multipli-cation operations.Thirdly,compared to in group G2,the signature verification algorithm can perform faster hash-to-curve and aggregate public key verification operations over group Gi.This paper gives a security proof of the aggregated signature security model and a prototype implementation of the scheme,together with performance tests and efficiency evaluation.

关键词

BLS聚合签名/Chaum-Pedersen证明/高效验证

Key words

aggregated BLS signatures/Chaum-Pedersen proofs/efficient verification

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出版年

2024
密码学报
中国密码学会,北京信息科学技术研究院,中国科学技术出版社

密码学报

CSTPCDCSCD北大核心
ISSN:2095-7025
参考文献量19
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