- Scattered polynomials: an overview on their properties, connections and applications
2024/11/01 by Longobardi, Giovanni · 4 citations
#05B25 #51A40 #51E14 #51E20 #94B05 #Combinatorics (math.CO) #FOS: Mathematics #History and Overview (math.HO)
- The geometry of covering codes in the sum-rank metric
2024/10/16 by Bonini, Matteo, Borello, Martino, Byrne, Eimear · 1 citation
#05B40 #11T71 #51E20 #52C17 #94B75 #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)
- A note on small weight codewords of projective geometric codes and on the smallest sets of even type
2023/02/09 by Adriaensen, Sam · 1 citation
#05B25 #51E20 #94B05 #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)
- On the minimum size of linear sets
2023/01/30 by Sam Adriaensen, Paolo Santonastaso, Adriaensen, Sam +1 · 3 citations
Computer Science · Engineering · Mathematics · #05B25 #51E20 #Advanced Graph Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems
- Exceptional scattered sequences
2022/11/21 by Bartoli, Daniele, Marino, Giuseppe, Neri, Alessandro +1 · 1 citation
#11T06 #51E20 #94B05 #94B27 #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)
- Cones from maximum h-scattered linear sets and a stability result
2022/10/18 by Sam Adriaensen, Adriaensen, Sam, Jonathan Mannaert +5 · 2 citations
Computer Science · Engineering · #51E20 #51E21 #94B05 #Coding theory and cryptography #Combinatorics (math.CO) #Cooperative Communication and Network Coding #FOS: Mathematics #graph theory and CDMA systems
- Saturating systems and the rank covering radius
2022/06/29 by Matteo Bonini, Bonini, Matteo, Martino Borello +3 · 2 citations
Computer Science · Engineering · Mathematics · #05B40 #11T71 #51E20 #52C17 #94B75 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Finite Group Theory Research #Information Theory (cs.IT) #graph theory and CDMA systems
- Classifications and constructions of minimum size linear sets
2022/01/06 by Vito Napolitano, Napolitano, Vito, Olga Polverino +5 · 1 citation
Computer Science · Engineering · Mathematics · #05B25 #11P70 #12F99 #51E20 #Advanced Graph Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems
- The geometry of one-weight codes in the sum-rank metric
2021/12/09 by Neri, Alessandro, Santonastaso, Paolo, Zullo, Ferdinando · 2 citations
#11T06 #11T71 #51E20 #94B05 #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)
- Investigating the exceptionality of scattered polynomials
2021/03/08 by Bartoli, Daniele, Zini, Giovanni, Zullo, Ferdinando · 2 citations
#05B25 #11T06 #51E20 #51E22 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
- Partially scattered linearized polynomials and rank metric codes
2020/09/24 by Longobardi, Giovanni, Zanella, Corrado · 2 citations
#05B25 #51E20 #51E22 #Combinatorics (math.CO) #FOS: Mathematics
- Scattered subspaces and related codes
2020/07/09 by Zini, Giovanni, Zullo, Ferdinando · 2 citations
#15A04 #51E20 #94B27 #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)
- The weight distributions of linear sets in PG(1,q5)
2020/06/08 by Maarten De Boeck, Geertrui Van de Voorde, De Boeck, Maarten +1 · 4 citations
Computer Science · Mathematics · #51E20 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Mathematical Approximation and Integration
- On linear sets of minimum size
2020/05/21 by Jena, Dibyayoti, Van de Voorde, Geertrui · 1 citation
#51E20 #Combinatorics (math.CO) #FOS: Mathematics
- Generalized linkage construction for constant-dimension codes
2019/10/24 by Heinlein, Daniel · 1 citation
#05B25 #51E20 #94B65 #Combinatorics (math.CO) #FOS: Mathematics
- A class of linear sets in PG(1,q5)
2019/05/26 by Montanucci, Maria, Zanella, Corrado · 1 citation
#05B25 #51E20 #Combinatorics (math.CO) #FOS: Mathematics
- A Combinatorial Approach to the Number of Solutions of Systems of Homogeneous Polynomial Equations over Finite Fields
2018/07/04 by Beelen, Peter, Datta, Mrinmoy, Ghorpade, Sudhir R. · 1 citation
#11G25 #14G05 #51E20 #94B27 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14G15 #Secondary 11T71
- A new family of MRD-codes
2017/07/26 by Csajbók, Bence, Marino, Giuseppe, Polverino, Olga +1 · 4 citations
#05B25 #51E20 #51E22 #Combinatorics (math.CO) #FOS: Mathematics
- On the equivalence of linear sets
2015/01/14 by Csajbók, Bence, Zanella, Corrado · 1 citation
#51E20 #Combinatorics (math.CO) #FOS: Mathematics
- Subspaces intersecting each element of a regulus in one point, André-Bruck-Bose representation and clubs
2014/09/03 by Lavrauw, Michel, Zanella, Corrado · 1 citation
#51E20 #Combinatorics (math.CO) #FOS: Mathematics
- Subgeometries and linear sets on a projective line
2014/03/23 by Lavrauw, Michel, Zanella, Corrado · 1 citation
#51E20 #Combinatorics (math.CO) #FOS: Mathematics
- Kakeya-type sets in finite vector spaces
2010/03/19 by Swastik Kopparty, Vsevolod F. Lev, Kopparty, Swastik +5 · 1 citation
Computer Science · Mathematics · #05B25 #51E20 #52C17. #Advanced Topology and Set Theory #Coding theory and cryptography #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT)
- The minimum rank problem over finite fields
2008/01/18 by Jason Grout, Grout, Jason · 1 citation
Computer Science · Mathematics · #05B25 #05C50 #05C75 #15A03 #51E20 #Advanced Graph Theory Research #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research