The encryption key considers as a vital part in designing of a cryptosystem. Whereas these keys must be random as can as possible. The ability to regenerate the same sequence with small initial value is still a major problem that faces the designer of encryption key system. The current paper designs a new method of random number generator with the ability to expand the generated encryption key to fit the proper image size. The knight tour problem was employed as a random number generator and used for encryption key expansion. The expansion process contains two steps, first one generate a random number with (64 x 64) key size and the second step consider the boundary numbers as from the previous step to initiate the knight tour as a second time, the second step continue until the image size was reached. Generated random numbers acquired from the knight tour problem have been subjected to the NIST 800.22 statistical test and successfully passed all statistical tests without requiring any additional processing. Per these results, it has been proved that the proposed system meets the security requirement and can be used in cryptographic applications. Furthermore, the knight tour generator provides a small initial value with the ability to regenerate the same sequence when feed up with the same initial value.
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机译：加密密钥被认为是设计密码系统的重要组成部分。而这些密钥必须尽可能地是随机的。以较小的初始值再生相同序列的能力仍然是加密密钥系统设计人员面临的主要问题。当前论文设计了一种新的随机数生成器方法，该方法能够扩展生成的加密密钥以适合适当的图像大小。骑士巡回问题被用作随机数生成器，并用于加密密钥扩展。扩展过程包括两个步骤，第一步是生成密钥大小为（64 x 64）的随机数，第二步将边界数字视为上一步，以第二次启动骑士之旅，第二步继续进行直到达到图像尺寸。从骑士巡回问题中获得的随机数已经过NIST 800.22统计测试，并成功通过了所有统计测试，而无需任何其他处理。根据这些结果，已经证明所提出的系统满足安全性要求并且可以在密码学应用中使用。此外，骑士巡回生成器提供较小的初始值，并且当以相同的初始值进行馈电时能够重新生成相同的序列。
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