论文标题
基于椭圆曲线和安全哈希功能的随机位生成器机制
Random Bit Generator Mechanism Based on Elliptic Curves and Secure Hash Function
论文作者
论文摘要
可以设计伪数位生成器（PRBG），以利用一些硬数字理论问题，例如离散对数问题（DLP）。这种类型的发电机将具有良好的随机性和不可预测性的性能，因为很难找到有关数学困境的简单解决方案。哈希功能反过来在许多加密任务中发挥着出色的作用，以实现各种安全优势。在本文中，提出了主要基于椭圆曲线离散对数问题（ECDLP）和哈希衍生功能的伪辅助位生成器机制。加密哈希功能用于消费需要各种安全优势的应用程序。在良好的哈希功能中，找到可以映射到任何预指定输出的输入在计算上都是不可行的。通过NIST统计测试对获得的伪随机位进行了测试，并且还可以符合最新的标准。此外，通过对Security Security的密码图像进行必要的分析，使用获得的伪随机位，将获得$ 256 \ times 256 $灰度图像加密。
Pseudorandom bit generators (PRBG) can be designed to take the advantage of some hard number theoretic problems such as the discrete logarithm problem (DLP). Such type of generators will have good randomness and unpredictability properties as it is so difficult to find an easy solution to the regarding mathematical dilemma. Hash functions in turn play a remarkable role in many cryptographic tasks to achieve various security strengths. In this paper, a pseudorandom bit generator mechanism that is based mainly on the elliptic curve discrete logarithm problem (ECDLP) and hash derivation function is proposed. The cryptographic hash functions are used in consuming applications that require various security strengths. In a good hash function, finding whatever the input that can be mapped to any pre-specified output is considered computationally infeasible. The obtained pseudorandom bits are tested with NIST statistical tests and it also could fulfill the up-to-date standards. Moreover, a $256 \times 256$ grayscale images are encrypted with the obtained pseudorandom bits following by necessary analysis of the cipher images for security prove.
