新的完备高斯整数序列的构造方法
doi: 10.3724/SP.J.1146.2013.01697
New Constructions of Perfect Gaussian Integer Sequences
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摘要: 该文提出了新的偶数周期的完备高斯整数序列构造方法。以整数集上的多电平完备序列为基础，并根据其周期的奇偶性，分别利用不同的组合和映射关系构造出完备高斯整数序列，所得到的完备高斯整数序列的周期等于或者2倍于多电平完备序列的周期。利用该方法可以得到新的完备高斯整数序列，从而实现了对现有完备高斯整数序列数量的扩展。Abstract: New constructions of perfect Gaussian integer sequence with even period are proposed. According to the parity of the multilevel perfect sequences over integer, different mappings and combined methods are used for constructing perfect Gaussian integer sequences. The length of the resultant sequence is equal to or twice that of the multilevel perfect sequence. New perfect Gaussian integer sequences are generated by the proposed construction and the number of the existing perfect Gaussian integer sequences is extended.
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Key words:
- Perfect sequence /
- Gaussian integer /
- Multilevel /
- Interleaving
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