论文标题
密码学短暂椭圆形曲线的计算方法的评估
Evaluation of Computational Approaches of Short Weierstrass Elliptic Curves for Cryptography
论文作者
论文摘要
该调查介绍了在引入密码学后短暂的椭圆形曲线的演变。随后，这种演变导致建立当前的椭圆曲线计算标准。我们讨论了对椭圆曲线离散对数问题的攻击的时间顺序，并研究了它们的对策，以强调密码安全椭圆曲线的进化选择标准。此外，从计算，安全和信任的角度评估了两种流行的确定性和随机方法，用于选择简短的Weierstrass椭圆形曲线，并证明了现有的计算标准的趋势。最后，分析了标准和非标准的椭圆曲线，以增加对其可用性的新见解。过去，我们最不知道的是，没有这样的调查。
The survey presents the evolution of Short Weierstrass elliptic curves after their introduction in cryptography. Subsequently, this evolution resulted in the establishment of present elliptic curve computational standards. We discuss the chronology of attacks on Elliptic Curve Discrete Logarithm Problem and investigate their countermeasures to highlight the evolved selection criteria of cryptographically safe elliptic curves. Further, two popular deterministic and random approaches for selection of Short Weierstrass elliptic curve for cryptography are evaluated from computational, security and trust perspectives and a trend in existent computational standards is demonstrated. Finally, standard and non-standard elliptic curves are analysed to add a new insight into their usability. There is no such survey conducted in past to the best of our knowledge.
