Abstract
We present a new construction of almost difference sets. The construction occurs in nonabelian groups of order 4N with a subgroup H of order N so that H has an (N,\(\frac{N-1}{2}\),\(\frac{N-3}{4}\)) difference set (and hence N must be an integer that is 3 (mod 4)).
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Acknowledgements
David Clayton is an undergraduate at the University of Richmond. He was supported in the summer of 2016 by a University of Richmond summer research fellowship. We thank Dr. James A. Davis at the University of Richmond for serving as advisor on this project.
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Communicated by C. Ding.
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Clayton, D. A note on almost difference sets in nonabelian groups. Des. Codes Cryptogr. 86, 1405–1410 (2018). https://doi.org/10.1007/s10623-017-0403-z
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DOI: https://doi.org/10.1007/s10623-017-0403-z