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evolutionary cryptography theory based generating method for a secure Koblitz elliptic curve and its improvement by a hidden Markov models

引用

Science China(Information Sciences) 2012年第4期55卷 911-920页

作者： WANG Chao 1,ZHANG HuanGuo 2,3 & LIU LiLi 4 1 Key Lab of Specialty Fiber Optics and Optical Access Network,Ministry of Education,Shanghai University,Shanghai 200072,China 2 Computer School of Wuhan University,Wuhan 430072,China 3 Key Laboratory of Aerospace Information Security and Trusted Computing Ministry of Education,Wuhan 430072,China 4 Huawei Technologies CO.LTD.,Shanghai 201206,China 1. Key Lab of Specialty Fiber Optics and Optical Access Network Ministry of Education Shanghai University Shanghai 200072 China2. Computer School of Wuhan University Wuhan 430072 China3. Key Laboratory of Aerospace Information Security and Trusted Computing Ministry of Education Wuhan 430072 China4. Huawei Technologies CO. LTD. Shanghai 201206 China

Considering potential attacks from cloud-computing and quantum-computing,it is becoming nec-essary to provide higher security elliptic *** hidden Markov models are introduced for designing the trace-vector computation algorithm to accelerate the search for elliptic curve (EC) *** present a new algorithm for secure Koblitz EC generation based on evolutionary cryptography *** algorithm is tested by selecting a secure Koblitz EC over the field F(2 2000),with experiments showing that both the base field and base point of the secure curve generated exceed the parameter range for Koblitz curves recommended by *** base fields generated go beyond 1900 bits,which is higher than the 571 bits recommended by *** also find new secure curves in the range F(2 163)-F(2 571) recommended by *** perform a detailed security analysis of those secure curves,showing that those we propose satisfy the same security criteria as NIST.

关键词： secure EC selection evolutionary cryptography theory ant colony algorithm Koblitz EC HMM

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