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A (k, n) Threshold Nominative Proxy Signature Scheme for Electronic Commerce.pdf

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A (k, n) Threshold Nominative Proxy Signature Scheme for Electronic Commerce

Dec．2006 J．China Univ．of Mining＆Tech．(English Edition) Vo1．16 No．4 A ， )Threshold Nominative Proxy Signa- ture Scheme for Electronic Commerce XIN Xiang-jun I-，WANG Mei．zhi ，XIAO Guo—zhen TheMinistry ofEdu．KeyLab．of ComputerNetworkandInfor Security，Xidian University，Xi’an，Shanxi 710071，China Department ofInformation and Computing Science，Zhengzhou University ofLight Industry，Zhengzhou，Henan 450002，China Department of Math．＆|Physics．Zhumadian Institute ofEducation。Zhumadian，Henan 463000．China Abstract：By using the Lagrange interpolation formula and the technology of signature of equality，a(k，n)threshold nominative proxy signature scheme is proposed，where an original signer delegates his(her)signing power to a proxy, who generates a nominative signature on behalf of the original signer and only k or more active verifiers in the n nominees (verifiers)nominated by the proxy signer can verify the signature signed by the proxy．If necessary，these(k or more) active nominees(verifiers)can prove its validity to a third party．In this scheme，the secret shares are generated and en— crypted by the original signer．At the same time，the ciphertexts of the secret shares are used as parts of the signature．Then， the secret shares need not be sent to the nomi nes(verifiers)secretly．The ordinary nominative proxy signature can be viewed as a(1，1)threshold nominative proxy signature．The ordinary nominative proxy signature can be viewed as a special case of a(k，n)threshold nominative proxy signature．According to the security analysis of this paper，it is found that our scheme is secure against a proxy signing key forgery attack and existential forgery on an adaptive chosen message atack． Key words：digital signature；nomi native signature；proxy signature CLC number：TN 918．1 1 Introduction Digital signatures l can be verified by using the signers’public keys by the public．They have many applications in e—commerce．However,the “pub— lic—veritiable” property of normal signatures is not suitab