论文标题
圆形Costas地图：圆形Costas序列的多维类似物
Circular Costas maps: a multidimensional analog of circular Costas sequences
论文作者
论文摘要
提出了一个统一的理论框架，其中Costas序列，循环Costas序列，Costas多项式，转移属性和Welch序列之间的连接扩展到多维环境。 J. Ortiz-Ubarri等人对多维周期性Costas阵列的一些猜想。被证明。此外，Muratovic-Ribic等人提出的延伸场上Costas多项式的猜想。被证明是Golomb和Moreno对圆形Costas序列的猜想的多维扩展。通过考虑O. Moreno定义的转移Costas财产的多维扩展，证明了上述猜想的较弱版本。
A unifying theoretical framework is presented, in which the connections among Costas sequences, circular Costas sequences, Costas polynomials, the shifting property, and Welch sequences are extended to the multidimensional context. Several conjectures on multidimensional periodic Costas arrays by J. Ortiz-Ubarri et al. are proved. Furthermore, a conjecture on Costas polynomials over extension fields presented by Muratovic-Ribic et al. is showed to be a multidimensional extension of a conjecture by Golomb and Moreno on circular Costas sequences. A weaker version of said conjecture is proved by considering a multidimensional extension of the shifting Costas property defined by O. Moreno.
