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首页> 外文会议>TAPPI advanced coating fundamentals symposium >Koblitz Elliptic Curves Generating Based on Evolutionary Cryptography Theory and Verifying Parameters Recommended by NIST
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Koblitz Elliptic Curves Generating Based on Evolutionary Cryptography Theory and Verifying Parameters Recommended by NIST

机译：基于进化密码学理论的Koblitz椭圆曲线生成并验证NIST推荐的参数

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摘要

Elliptic curve cryptography is one of the most important public-key cryptography. The Koblitz Curve is a special kind of elliptic curve in ECC and its security mainly depends on the base field. Based on Evolutionary Cryptography theory, which becomes a principal concept for cryptogra-phy design and cryptanarysis, we propose a new al-gorithm for secure EC generation based on Ant Col-ony Optimization (ACO) to accelerate the search process of safe base field. We preliminarily deal with secure Koblitz curve selecting over the field F (2800). Experiments show that the base field and base point of secure curves generated by ant colony algorithm have gone beyond the parameter range of Koblitz curves recommended by NIST. We can present many new secure Koblitz curves, including base field and base point, which are not recommen-ded by NIST. The maximum size of our secure Koblitz curve has gone beyond 700bit. The algo-rithm in this paper follows the same cryptography criteria recommended by the ANSI. So, it can resist current attacks. Theoretical analysis and experimen-tal results prove that the new algorithm is effective and successful, and it is the first successful prac-tice of Evolutionary Cryptography theory in public cryptography research.
机译：椭圆曲线密码学是最重要的公钥密码学之一。 Koblitz曲线是ECC中的一种特殊的椭圆曲线，其安全性主要取决于基场。基于进化密码学理论，该理论成为密码学设计和密码学的主要概念，我们提出了一种基于蚁群优化（ACO）的安全EC生成的新算法，以加快安全基场的搜索过程。我们初步处理场F（2800）上的安全Koblitz曲线选择。实验表明，蚁群算法生成的安全曲线的基场和基点已经超出了NIST推荐的Koblitz曲线的参数范围。我们可以展示许多新的安全Koblitz曲线，包括NIST不推荐的基场和基点。我们安全的Koblitz曲线的最大大小已超过700bit。本文中的算法遵循ANSI建议的相同加密标准。因此，它可以抵抗当前的攻击。理论分析和实验结果证明，该新算法是有效且成功的，并且是进化密码学理论在公共密码学研究中的第一个成功实践。

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