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Anna-Lena Horlemann
Title
Prof. Dr.
Last Name
Horlemann
First name
Anna-Lena
Email
anna-lena.horlemann@unisg.ch
Phone
+41 71 224 2655
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1 - 4 of 4
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PublicationType: journal articleVolume: 14Issue: 1
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PublicationEquivalence and Characterizations of Linear Rank-Metric Codes Based on Invariants( 2020)
;Neri, Alessandro ;Puchinger, Sven -
PublicationOn the genericity of maximum rank distance and Gabidulin codes(Kluwer, 2017-04-08)
;Neri, Alessandro ;Randrianarisoa, TovoheryRosenthal, JoachimWe consider linear rank-metric codes in F_(q^m)^n. We show that the properties of being maximum rank distance (MRD) and non-Gabidulin are generic over the algebraic closure of the underlying field, which implies that over a large extension field a randomly chosen generator matrix generates an MRD and a non-Gabidulin code with high probability. Moreover, we give upper bounds on the respective probabilities in dependence on the extension degree m.Type: journal articleJournal: Designs, codes and cryptography : an international journalVolume: 86Issue: 2Scopus© Citations 42