A Legendre pair of length 77 using complementary binary matrices with fixed marginals

Turner Jonathan S.; Kotsireas Ilias S.; Bulutoglu Dursun A.; Geyer Andrew J.

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A Legendre pair of length 77 using complementary binary matrices with fixed marginals

机译：使用具有固定边缘的互补二进制矩阵的Legendre对长度77

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摘要

We provide a search method for Legendre pairs of composite length based on generating binary matrices with fixed row and column sums from compressed, complementary integer vectors. This approach yielded the first construction of a Legendre pair of length 77, as well as the first exhaustive generation of Legendre pairs of length 55.

机译：我们提供了一种基于生成二进制矩阵的Legendre对复合材料的搜索方法，其具有来自压缩的互补整数矢量的固定行和列和。这种方法产生了第一次构造了一对长度77的结构，以及第一长度的第一个穷举一起的长度。

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《Designs, Codes and Crytography》 |2021年第6期|1321-1333|共13页
作者
Turner Jonathan S.; Kotsireas Ilias S.; Bulutoglu Dursun A.; Geyer Andrew J.;
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作者单位

Air Force Inst Technol Dept Math & Stat Wright Patterson AFB OH 45433 USA;

Wilfrid Laurier Univ Dept Phys & Comp Sci Waterloo ON N2L 3C5 Canada;

Air Force Inst Technol Dept Math & Stat Wright Patterson AFB OH 45433 USA;

Air Force Inst Technol Dept Math & Stat Wright Patterson AFB OH 45433 USA;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Fixed marginal; Legendre pair; Fourier transform;

机译：固定边缘;Legendre对;傅里叶变换;

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A Legendre pair of length 77 using complementary binary matrices with fixed marginals

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