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Partially scattered linearized polynomials and rank metric codes
Affiliation:1. Department of Mathematical and Physical Sciences, University of Chester, Thornton Science Park, Pool Ln, Chester CH2 4NU, England, United Kingdom;2. Tarsus University, Faculty of Engineering, Department of Natural and Mathematical Sciences, Mersin, Turkey;3. Tarsus University, Faculty of Engineering, Department of Computer Engineering, Mersin, Turkey;1. Department of Mathematics, University of Auckland, 38 Princes Street, Auckland Central, Auckland 1010, New Zealand;2. School of Mathematics and Statistics, University of Canterbury, Private bag 4800, 8140 Christchurch, New Zealand;1. Dipartimento di Matematica e Informatica, Università degli studi di Perugia, Perugia, Italy;2. Department of Mathematics & Statistics, University of South Florida, Tampa, United States;3. Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Università degli Studi di Modena e Reggio Emilia, Modena, Italy;4. Dipartimento di Matematica e Fisica, Università degli Studi della Campania “Luigi Vanvitelli”, Caserta, Italy
Abstract:
Keywords:Linearized polynomial  Linear set  Subgeometry  Finite field  Finite projective space  Rank metric code  MRD-code
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