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|Title:||A Sharp Exponent Bound for McFarland Difference Sets withp=2|
|Authors:||Ma, S.L. |
|Source:||Ma, S.L., Schmidt, B. (1997-11). A Sharp Exponent Bound for McFarland Difference Sets withp=2. Journal of Combinatorial Theory. Series A 80 (2) : 347-352. ScholarBank@NUS Repository. https://doi.org/10.1006/jcta.1997.2808|
|Abstract:||We show that under the self-conjugacy condition a McFarland difference set withp=2 andf≥2 in an abelian groupGcan only exist, if the exponent of the Sylow 2-subgroup does not exceed 4. The method also works for oddp(where the exponent bound ispand is necessary and sufficient), so that we obtain a unified proof of the exponent bounds for McFarland difference sets. We also correct a mistake in the proof of an exponent bound for (320, 88, 24)-difference sets in a previous paper. © 1997 Academic Press.|
|Source Title:||Journal of Combinatorial Theory. Series A|
|Appears in Collections:||Staff Publications|
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