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On planes through points off the twisted cubic in PG(3,q) and multiple covering codes
Institution:1. Department of Mathematics and Computer Science, Perugia University, Perugia 06123, Italy;2. Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow 127051, Russian Federation;1. Department of Mathematics, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Prague 8, Czech Republic;2. Institut de Mathématiques de Toulon, campus La Garde, 83041 Toulon, France;1. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy;2. Department of Geometry and MTA–ELTE Geometric and Algebraic Combinatorics Research Group, ELTE Eötvös Loránd University, Budapest, 1117 Budapest, Pázmány Péter sétány 1/C, Hungary;3. FAMNIT, University of Primorska, 6000 Koper, Glagolja?ka 8, Slovenia;1. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Italy;2. Dipartimento di Matematica, Informatica ed Economia, Università degli Studi della Basilicata, Italy;1. Institute of Analysis and Number Theory, Graz University of Technology, Kopernikusgasse 24/II, A-8010 Graz, Austria;2. School of Mathematics and Statistics, University College Dublin, Belfield, Dublin 4, Ireland;3. School of Mathematics, Wits University, Johannesburg, South Africa;4. Research Group in Algebraic Structures and Applications, King Abdulaziz University, Jeddah, Saudi Arabia;5. Centro de Ciencias Matemáticas, UNAM, Morelia, Mexico
Abstract:
Keywords:Twisted cubic  Projective space  Incidence matrix  Multiple coverings  Reed-Solomon codes
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