arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2002.09239cs.CR
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基于椭圆曲线和安全Hash函数的随机比特产生机制

Random Bit Generator Mechanism Based on Elliptic Curves and Secure Hash Function

O. Reyad, M. E. Karar, K. Hamed

摘要:

伪随机比特发生器(PRBG)可以利用一些困难的数论问题,如离散对数问题(DLP)的优势。这种类型的生成器将具有良好的随机性和不可预测性,因为很难找到一个简单的解决方案,有关的数学困境。哈希函数反过来在许多加密任务中发挥着显着的作用,以实现各种安全优势。本文提出了一种基于椭圆曲线离散对数问题(ECDLP)和散列导函数的伪随机比特发生器机制。加密散列函数用于需要各种安全强度的消费应用程序。在一个好的散列函数中,找到可以映射到任何预先指定的输出的任何输入都被认为是计算上不可行的。所得到的伪随机比特经NIST统计检验,也符合最新标准。利用所得到的伪随机比特对一幅$256 \times 256$灰度图像进行加密,并对加密图像进行必要的分析,以证明其安全性。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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