In this paper we construct families of bit sequences using combinatorial methods. Each sequence is derived by con- verting a collection of numbers encoding certain combinatorial nu- merics from objects exhibiting symmetry in various dimensions. Using the algorithms first described in [1] we show that the NIST testing suite described in publication 800-22 does not detect these symmetries hidden within these sequences.

翻译：本文采用组合方法构建了比特序列族。每个序列通过转换一组编码特定组合数值的数字得到，这些数字源自于在不同维度上呈现对称性的对象。利用文献[1]中首次描述的算法，我们证明出版物800-22中描述的NIST测试套件未能检测到这些序列中隐藏的对称性。