CAJ | 학술논문

无证书签密是公钥密码体制的一个重要应用,与传统的先签名后加密相比,其计算量和通信成本都要低.借鉴国密SM2标准签名方案设计技巧,提出了一个新的基于无双线性对映射的无证书代理签密方案.随后对协议的正确性、安全性、参数选择和效率进行分析,在适应性选择消息和存在第二类攻击者给出了随机预言机模型下的安全性证明.新方案基于离散对数问题困难假设,由于避免了使用双线性对,因此性能良好;通过与其它方案的对比,计算开销明显低于其它签密方案,分析表明新方案具备较高安全性和效率.
무증서첨밀시공약밀마체제적일개중요응용,여전통적선첨명후가밀상비,기계산량화통신성본도요저.차감국밀SM2표준첨명방안설계기교,제출료일개신적기우무쌍선성대영사적무증서대리첨밀방안.수후대협의적정학성、안전성、삼수선택화효솔진행분석,재괄응성선택소식화존재제이류공격자급출료수궤예언궤모형하적안전성증명.신방안기우리산대수문제곤난가설,유우피면료사용쌍선성대,인차성능량호;통과여기타방안적대비,계산개소명현저우기타첨밀방안,분석표명신방안구비교고안전성화효솔.
Certificateless signcryption is one of the most important applications in certificateless public key cryp-tography. Compared with the traditional practice of signature before encryption, it has less costs for computation and communication. By reference to the signature scheme design skills in National Secret Algorithm SM 2 Stan-dard, this paper proposes a certificateless agent signcryption scheme without pairing scheme. The analysis of its correctness, security, efficiency and parameter choice are subsequently presented, and a detailed formal security proof in the random oracle model is given. The new scheme, based on the discrete logarithm problem (DLP) and DLP assumption, has significantly lower computational overhead than other certificateless agent signcryption schemes. By avoiding the use of bilinear map, the proposed scheme shows better performance with higher security and efficiency.