On the disjointness of algebraically constructed costas arrays

Drakakis K.; Gow R.; Rickard S.

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On the disjointness of algebraically constructed costas arrays

机译：关于代数构造的costas数组的不相交性

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Is it possible for a particular Costas array to be generated by two different constructions of the Golomb and Welch families? Experimental data suggests that this does not happen (except for trivially small orders), and a (partial) proof of this fact is offered herein through a case-by-case study of all possible pairs of constructions that can potentially produce Costas arrays of equal order.

机译：Golomb和Welch家族的两种不同构造是否可能产生特定的Costas阵列？实验数据表明，这种情况不会发生（除小额订单外），本文通过对可能产生相同等价Costas阵列的所有可能构造对的个案研究，提供了这一事实的（部分）证明。订购。

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《Journal of algebra and its applications》 |2011年第2期|共22页
作者
Drakakis K.; Gow R.; Rickard S.;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
construction techniques; Costas arrays; Golomb construction; Lempel construction; optimal autocorrelation sequences; Welch construction;

机译：构造技术;Costas阵列;Golomb构造;Lempel构造;最佳自相关序列;Welch构造;

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专利

1. On the disjointness of algebraically constructed costas arrays [J] . Drakakis K., Gow R., Rickard S. Journal of algebra and its applications . 2011,第2期

机译：关于代数构造的costas数组的不相交性
2. ALGEBRAICALLY CONSTRUCTED COSTAS ARRAYS WITH SMALL NUMBER OF CROSS-CONCIDENCES [J] . YANG Yixian Systems Science and Mathematical Sciences . 2000,第3期

机译：交叉重叠数少的代数构造的COSTAS矩阵
3. ALGEBRAICALLY CONSTRUCTED COSTAS ARRAYS WITH SMALL NUMBER OF CROSS-COINCIDENCES [J] . YANG Yixian 系统科学与复杂性：英文版 . 2000,第003期
4. Using Costas Arrays to Construct FrequencyHop Patterns for OFDM Wireless Systems [C] . Svetislav V. Maric, Oscar Moreno 40th Annual conference on information sciences and systems (CISS 2006) . 2006

机译：使用Costas阵列构造OFDM无线系统的FrequencyHop模式
5. Seeking Space Aliens and the Strong Approximation Property: A (disjoint) Study in Dust Plumes on Planetary Satellites and Nonsymmetric Algebraic Multigrid [D] . Southworth, Benjamin Scott. 2017

机译：寻求太空外星人和强大的近似性质：平行卫星尘埃羽毛的（不相交）研究和非对称代数Multigridgrid
6. gsufsort: constructing suffix arrays LCP arrays and BWTs for string collections [O] . Felipe A. Louza, Guilherme P. Telles, Simon Gog, 2020

机译：gsufsort：构造后缀阵列LCP阵列和BWTS for String Collections
7. On the symmetry of Welch- and Golomb-constructed Costas arrays [O] . Drakakis Konstantinos, Gow Rod, O’Carroll Liam 2009

机译：关于Welch和Golomb构造的Costas阵列的对称性

On the disjointness of algebraically constructed costas arrays

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