Technical Program

Paper Detail

Paper Title Invariants and Inequivalence of Linear Rank-Metric Codes
Paper IdentifierTH2.R7.1
Authors Alessandro Neri, University of Zurich, Switzerland; Sven Puchinger, Technical University of Munich, Germany; Anna-Lena Horlemann-Trautmann, University of St. Gallen, Switzerland
Session Rank Metric Codes
Location Bièvre, Level 5
Session Time Thursday, 11 July, 11:40 - 13:00
Presentation Time Thursday, 11 July, 11:40 - 12:00
Manuscript  Click here to download the manuscript
Abstract We show that the sequence of dimensions of the linear spaces, generated by a given rank-metric code together with itself under several applications of a field automorphism, is an invariant for the whole equivalence class of the code. These invariants give rise to an easily computable criterion to check if two codes are inequivalent. With this criterion we then derive bounds on the number of equivalence classes of classical and twisted Gabidulin codes.