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Alessandro Neri Anna-Lena Horlemann-Trautmann Tovohery Randrianarisoa Joachim Rosenthal 《Designs, Codes and Cryptography》2018,86(2):341-363
We consider linear rank-metric codes in \({\mathbb {F}}_{q^m}^n\). 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. 相似文献
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Ghorpade Sudhir R. Pratihar Rakhi Randrianarisoa Tovohery H. 《Journal of Algebraic Combinatorics》2022,56(4):1135-1162
Journal of Algebraic Combinatorics - We consider a q-analogue of abstract simplicial complexes, called q-complexes, and discuss the notion of shellability for such complexes. It is shown that... 相似文献
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