Legendre pair of length $77$ using complementary binary matrices with fixed marginals
Combinatorics
2021-01-27 v1
Abstract
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 , as well as the first exhaustive generation of Legendre pairs of length .
Cite
@article{arxiv.2101.10918,
title = {Legendre pair of length $77$ using complementary binary matrices with fixed marginals},
author = {Jonathan Turner and Ilias Kotsireas and Dursun Bulutoglu and Andrew Geyer},
journal= {arXiv preprint arXiv:2101.10918},
year = {2021}
}
Comments
17 pages, 1 figure. Submitted to Designs, Codes and Cryptography