On a Class of Minihypers in the Geometries\(\text {PG}(r,q)\)

Ivan Landjev; Emilyan Rogachev; Assia Rousseva

Computer Science and Education in Computer Science. 18th EAI International Conference, CSECS 2022, On-Site and Virtual Event, June 24-27, 2022, Proceedings

Research Article

On a Class of Minihypers in the Geometries\(\text {PG}(r,q)\)

Cite: BibTeX Plain Text

@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

Ivan Landjev¹^,*, Emilyan Rogachev², Assia Rousseva²

1: New Bulgarian University, 21 Montevideo Str.
2: Faculty of Mathematics and Informatics, Sofia University, 5 J. Bourchier Blvd.

*Contact email: i.landjev@nbu.bg

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).

Keywords: Liear codes Minihypers Griesmer bound

Published: 2022-11-03
Appears in: SpringerLink

: http://dx.doi.org/10.1007/978-3-031-17292-2_12

On a Class of Minihypers in the Geometries\(\text {PG}(r,q)\)

Abstract

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