Spread spectrum multiple access systems demand minimum possible cross-correlation between the sequences within a set of sequences having good auto-correlation properties. Through a connection between generalised Frank sequences and Florentine arrays, we present a family of perfect sequences with low cross-correlation having a larger family size, compared with previous works. In particular, the family size can be equal to the square root of the period when the period of the perfect sequences is even. In contrast, the number of the perfect sequences of even period with low cross-correlation is equal to one in all previous works.

翻译：扩频多址系统要求序列集合内的序列之间具有尽可能低的互相关性，同时序列需具备良好的自相关特性。通过建立广义弗兰克序列与弗洛伦丁阵列之间的联系，本文提出了一类具有低互相关性的完美序列族，其族规模相较于先前研究更大。特别地，当完美序列的周期为偶数时，该族规模可等于周期的平方根。而此前所有研究中，具备低互相关性的偶数周期完美序列数量均仅为1。