@article{buratti_designs_2019,
	title = {Designs over finite fields by difference methods},
	volume = {57},
	issn = {1071-5797},
	doi = {10.1016/j.ffa.2019.02.006},
	abstract = {One of the very first results about designs over finite fields, by S. Thomas, is the existence of a cyclic 2-(n, 3, 7) design over F-2 for every integer n coprime with 6. Here, by means of difference methods, we reprove and improve a little bit this result showing that it is true, more generally, for every odd n. In this way, we also find the first infinite family of non-trivial cyclic group divisible designs over F-2. (C) 2019 Elsevier Inc. All rights reserved.},
	language = {English},
	journal = {FINITE FIELDS AND THEIR APPLICATIONS},
	author = {Buratti, Marco and Nakic, Anamari},
	month = may,
	year = {2019},
	note = {Place: 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
Type: Article},
	keywords = {Design over a finite field, Difference family, Group divisible design over a finite field},
	pages = {128--138},
}

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