39 citations · 50 across the 14 of their papers we have counts for
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Antipodal two-weight rank metric codes
Rakhi Pratihar, Tovohery Hajatiana Randrianarisoa
We consider the class of linear antipodal two-weight rank metric codes and discuss their properties and characterization in terms of -spreads. It is shown that the dimension of…
Constructions of optimal rank-metric codes from automorphisms of rational function fields
Rakhi Pratihar, Tovohery Hajatiana Randrianarisoa
We define a class of automorphisms of rational function fields of finite characteristic and employ these to construct different types of optimal linear rank-metric codes. The first…
A Geometric Approach to Rank Metric Codes and a Classification of Constant Weight Codes
Tovohery Hajatiana Randrianarisoa
In this work we develop a geometric approach to the study of rank metric codes. Using this method, we introduce a simpler definition for generalized rank weight of linear codes. We…
Coding Theory using Linear Complexity of Finite Sequences
Tovohery Randrianarisoa
We define a metric on using the linear complexity of finite sequences. We will then develop a coding theory for this metric. We will give a Singleton-like bound an…
A Decoding Algorithm for Rank Metric Codes
Tovohery Hajatiana Randrianarisoa
In this work we will present algorithms for decoding rank metric codes. First we will look at a new decoding algorithm for Gabidulin codes using the property of Dickson matrices co…
A decoding algorithm for Twisted Gabidulin codes
Tovohery Randrianarisoa, Joachim Rosenthal
In this work, we modify the decoding algorithm for subspace codes by Koetter and Kschischang to get a decoding algorithm for (generalized) twisted Gabidulin codes. The decoding alg…
On the Genericity of Maximum Rank Distance and Gabidulin Codes
Alessandro Neri, Anna-Lena Horlemann-Trautmann, Tovohery Randrianarisoa +1
We consider linear rank-metric codes in . We show that the properties of being MRD (maximum rank distance) and non-Gabidulin are generic over the algebraic closu…