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中文摘要：
近年来，椭圆曲线理论在密码学中的作用越来越大。在许多的应用中椭圆曲线密码系统已经取代了传统的RSA公钥系统，因此一些针对椭圆曲线密码系统的攻击也越来越多。为了提高椭圆曲线密码的安全性而且保持其原有的优点，提出了椭圆双曲线密码系统。此系统有极好的随机性，在理论上提高了原椭圆曲线密码的安全性，而且还可以提供灵活的操作方法，这样就可以使目前已有的攻击技术无法追踪其破解线索，从而更好地提高信息的安全性。
英文摘要：
In recent years,the elliptic curve cryptography system（ECCS） plays more and more important role in the cryptography. Instead of traditional public key cryptography system that it is RSA, it is the ECCS in a lot of application areas. Therefore, there are more and more attacks on the ECCS. In this paper, we advanced the technology that improves the ECCS＇s safeness and keeps its good property. The technology is called ＂Elliptic Hyperbola Cryptography System （EHCS）＂. The EHCS has the same calculation complexity as ECCS, but it has excellently randomness. So EHCS can improve cryptographic safeness in theory. The EHCS has more flexible operation mode than ECCl. Therefore, the EHCS can improve information technology＇s safeness.
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