Three new lengths for cyclic Legendre pairs

Fuente: arXiv
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Main Authors: Balonin, N. A., Đoković, D. Ž.
Format: Preprint
Published: 2020
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author Balonin, N. A.
Đoković, D. Ž.
author_facet Balonin, N. A.
Đoković, D. Ž.
contents There are 20 odd integers v less than 200 for which the existence of Legendre pairs of length v is undecided. The smallest among them is v=77. We have constructed Legendre pairs of lengths 91, 93 and 123 reducing the number of undecided cases to 17.
format Preprint
id arxiv_https___arxiv_org_abs_2010_02829
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Three new lengths for cyclic Legendre pairs
Balonin, N. A.
Đoković, D. Ž.
Combinatorics
05B10 (Primary) 05B20 (Secondary)
There are 20 odd integers v less than 200 for which the existence of Legendre pairs of length v is undecided. The smallest among them is v=77. We have constructed Legendre pairs of lengths 91, 93 and 123 reducing the number of undecided cases to 17.
title Three new lengths for cyclic Legendre pairs
topic Combinatorics
05B10 (Primary) 05B20 (Secondary)
url https://arxiv.org/abs/2010.02829