
Research Article
On a Class of Minihypers in the Geometries\(\text {PG}(r,q)\)
@INPROCEEDINGS{10.1007/978-3-031-17292-2_12, author={Ivan Landjev and Emilyan Rogachev and Assia Rousseva}, title={On a Class of Minihypers in the Geometries\textbackslash(\textbackslashtext \{PG\}(r,q)\textbackslash)}, proceedings={Computer Science and Education in Computer Science. 18th EAI International Conference, CSECS 2022, On-Site and Virtual Event, June 24-27, 2022, Proceedings}, proceedings_a={CSECS}, year={2022}, month={11}, keywords={Liear codes Minihypers Griesmer bound}, doi={10.1007/978-3-031-17292-2_12} }
- Ivan Landjev
Emilyan Rogachev
Assia Rousseva
Year: 2022
On a Class of Minihypers in the Geometries\(\text {PG}(r,q)\)
CSECS
Springer
DOI: 10.1007/978-3-031-17292-2_12
Abstract
We characterize all minihypers with parameters((v3+2v2,v2+2v1))in the geometries(\text {PG}(r,q)). Apart from the trivial ones which are the sum of a plane and two lines, we construct several sporadic minihypers in the geometries(\text {PG}(r,q))with(q=3)and(q=4).
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