The $T_{4}$ and $G_{4}$ constructions of Costas arrays

Tim Trudgian; Qiang Wang

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arXiv · 1409.6827

The $T_{4}$ and $G_{4}$ constructions of Costas arrays

Tim Trudgian·Qiang Wang

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Abstract

We examine two particular constructions of Costas arrays known as the Taylor variant of the Lempel construction, or the $T_{4}$ construction, and the variant of the Golomb construction, or the $G_{4}$ construction. We connect these constructions with the concept of Fibonacci primitive roots, and show that under the Extended Riemann Hypothesis the $T_{4}$ and $G_{4}$ constructions are valid infinitely often.

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Tim Trudgian, Qiang Wang. 2014-09-24. The $T_{4}$ and $G_{4}$ constructions of Costas arrays. https://arxiv.org/abs/1409.6827

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