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Using alternating de Bruijn sequences to construct de Bruijn tori
Designs, Codes and Cryptography ( IF 1.6 ) Pub Date : 2024-02-06 , DOI: 10.1007/s10623-023-01351-0
Matthew Kreitzer , Mihai Nica , Rajesh Pereira

Abstract

A de Bruijn torus is the two dimensional generalization of a de Bruijn sequence. While methods exist to generate these tori, only a few methods of construction are known. We present a novel method to generate de Bruijn tori with rectangular windows by combining two variants of de Bruijn sequences.



中文翻译:

使用交替的 de Bruijn 序列构建 de Bruijn tori

摘要

de Bruijn 环面是 de Bruijn 序列的二维推广。虽然存在生成这些环面的方法,但仅已知几种构造方法。我们提出了一种通过组合 de Bruijn 序列的两个变体来生成具有矩形窗口的 de Bruijn tori 的新方法。

更新日期:2024-02-06
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