Legendre Pair of Length 77 Using Complementary Binary Matrices with Fixed Marginals
Document Type
Article
Publication Date
1-2021
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 77, as well as the first exhaustive generation of Legendre pairs of length 55.
DOI
10.1007/s10623-021-00862-y
Source Publication
Designs, Codes and Cryptography
Recommended Citation
Turner, J. S., Kotsireas, I., Bulutoglu, D. A., & Geyer, A. (2021). Legendre pair of length $77$ using complementary binary matrices with fixed marginals. Designs, Codes and Cryptography, 89, 1321–1333. https://doi.org/10.1007/s10623-021-00862-y; Sourced from http://arxiv.org/abs/2101.10918
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Comments
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arxiv:2101.10918 (math.CO)
The final version of record of this article is by subscription-access in volume 89 of Designs, Codes and Cryptography . It is available through the DOI link in the full citation below.