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A Legendre pair of length 77 using complementary binary matrices with fixed marginals
Designs, Codes and Cryptography ( IF 1.6 ) Pub Date : 2021-04-18 , DOI: 10.1007/s10623-021-00862-y
Jonathan S. Turner , Ilias S. Kotsireas , Dursun A. Bulutoglu , Andrew J. Geyer

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.



中文翻译:

长度为77的Legendre对,使用具有固定边际的互补二进制矩阵

我们提供了一种从合成互补整数向量生成具有固定行和列总和的二进制矩阵的复合长度的勒让德对的搜索方法。这种方法产生了长度为77的勒让德对的第一个结构,以及长度为55的勒让德对的第一个详尽的生成。

更新日期:2021-04-18
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