1. New lower bounds on 2-spontaneous emission error designs.
- Author
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Zhu, Bohua and Zhou, Junling
- Subjects
- *
ATOMIC transitions , *MATHEMATICAL bounds , *COMBINATORIAL geometry , *ERROR analysis in mathematics , *MATHEMATICAL analysis - Abstract
Abstract The combinatorial object named t -spontaneous emission error design (t -SEED) was proposed by Beth et al. in 2003 in order to correct errors caused by quantum jumps. The newly rising category of t -SEEDs has been studied extensively in recent years. Especially, the maximal possible dimensions for 2-SEEDs with block size 3 were determined completely; lower bounds on 2-SEEDs were established by applying affine groups. In this paper we utilize the action of twisted affine groups on finite fields and obtain new lower bounds on the dimensions of 2- (q 2 , k ; m) SEEDs, some of which outperform the known ones. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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