Verifiable Outsourcing EMR Scheme with Attribute-Based Encryption in Cloud-Edge Environments

doi:10.3969/j.issn.1671-1122.2023.07.002

Abstract

Abstract:

With emerging of cloud and edge computing, attribute-based encryption (ABE) is a promising cryptographic primitive, which can provide a fine-grained access control strategy for Electronic Medical Record (EMR) in the cloud sever. However, in ABE, the finer the access control is, the bigger the number of required attributes is. Accordingly, it requires the higher encryption costs. In order, to reduce the encryption burden of data owner, we first presented a verifiable outsourcing ABE scheme, in which a fog node in the data owner side is fully responsible for the encryption of ABE, and another fog node in the user side assisted data users to perform the corresponding decryption. Furthermore, this paper introduced the proxy re-encryption algorithm, online indexing, and offline trapdoor, where proxy re-encryption algorithm is aimed to achieve the dual access control for EMRs, and online indexing and offline trapdoor ensure the anonymity of legitimate users. Finally, with the help of blockchain, management server and attribute authority, the scheme can verify the honesty of fog nodes and the correctness of the ciphertext. The experimental results show that the data owner of our scheme has the low encryption time, while this scheme reduces the encryption burden of the data owner, achieves finer grained access control, and realizes the verifiability of the ciphertext.

Key words: attribute-based encryption, verifiability, outsourcing encryption, access control, edge computing

CLC Number:

TP309

SHI Runhua, XIE Chenlu. Verifiable Outsourcing EMR Scheme with Attribute-Based Encryption in Cloud-Edge Environments[J]. Netinfo Security, 2023, 23(7): 9-21.

Figures/Tables 9

References 24

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符号	含义表示
$G,{{G}_{T}}$	乘法循环群
${{H}_{1}},{{H}_{2}}$	哈希函数
$S$	属性集合
${{g}_{1}},{{g}_{2}},{{g}_{3}}$	生成元
$SPK$	系统公钥
$SSK$	系统私钥
$p{{k}_{i}},s{{k}_{i}}$	用户公钥、私钥
${{d}_{1}},{{d}_{2}}$	属性主密钥
$AK$	用户属性密钥
$W$	关键字
${{I}_{1}},{{I}_{2}}$	关键字索引
$CT$	DO计算的密文
$\sigma $	数字签名
$CT$	DO公钥加密后得到的密文
$NCT$	FN属性加密后得到的密文
${{T}_{1}},{{T}_{2}}$	陷门
$\widetilde{AK}$	盲化后的属性密钥
$Ver$	验证数字签名时生成的验证信息
$P$	MS计算数字签名得到的验证证明
$w$	重加密密钥
$R{{C}_{1,i}}$	重加密密文

方案名称	多属性机构	外包加密	数字签名	外包解密	验证数据
文献[14]方案	√	?	?	√	√
文献[23]方案	?	?	?	?	?
本文方案	√	√	√	√	√

功能	方案名称
功能	文献[14]方案	文献[23]方案	本文方案
密钥生成	$\left( 7{{S}_{u}}+5 \right){{E}_{1}}$	$\left( 3{{S}_{u}}+3 \right){{E}_{1}}$	$\left( 4{{S}_{u}}+6 \right){{E}_{1}}$
DO加密	$(3+2{{A}_{ln}}){{E}_{1}}+2{{E}_{2}}$	$\left( K+2{{A}_{ln}}+j{{A}_{tn}} \right){{E}_{1}}+$ $\left( K+2j{{A}_{tn}} \right){{E}_{1}}$	$4{{E}_{1}}+\left( n+1 \right){{E}_{2}}$
FN加密	—	—	$\left( 2{{A}_{ln}}+n \right){{E}_{1}}+2n{{E}_{2}}$
数字签名	—	—	$3n{{E}_{1}}$
DU解密	$2{{E}_{2}}$	$\left( 2K+2{{A}_{ln}}+2{{A}_{nln}}-1 \right){{E}_{e}}+$ $\left( 3K+{{A}_{ln}} \right){{E}_{2}}$	3(Ee+E₂)
FN解密	$\left( 2+2{{A}_{ln}} \right){{E}_{e}}+$ $\left( 4{{A}_{ln}}+1 \right){{E}_{2}}$	—	$\left( 2{{A}_{ln}}+2{{A}_{nln}} \right){{E}_{e}}+2{{E}_{2}}$

方案开销	文献[14]方案	文献[23]方案	本文方案
密文存储开销	$\left( {{A}_{ln}}+2 \right)\left\| G \right\|+\left\| {{G}_{T}} \right\|$	$\left( {{A}_{ln}}+1 \right)\left\| G \right\|+{{A}_{ln}}\left\| {{G}_{T}} \right\|$	$\left( {{A}_{ln}}+2 \right)\left\| G \right\|+{{A}_{ln}}\left\| {{G}_{T}} \right\|$
密钥存储开销	$\left( 7{{S}_{u}}+2 \right)\left\| G \right\|+2\left\| p \right\|$	$\left( 3{{S}_{u}}+3 \right)\left\| G \right\|+2\left\| p \right\|$	$\left( 4{{S}_{u}}+2 \right)\left\| G \right\|+4\left\| p \right\|$