English

Three new lengths for cyclic Legendre pairs

Combinatorics 2024-01-23 v1

Abstract

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.

Cite

@article{arxiv.2010.02829,
  title  = {Three new lengths for cyclic Legendre pairs},
  author = {N. A. Balonin and D. Ž. Đoković},
  journal= {arXiv preprint arXiv:2010.02829},
  year   = {2024}
}

Comments

10 pages

R2 v1 2026-06-23T19:05:36.617Z