5 citations · 10 across the 3 of their papers we have counts for
6 papers
The Euler characteristic, -matroids, and a Möbius function
Trygve Johnsen, Rakhi Pratihar, Tovohery Hajatiana Randrianarisoa
We first give two new proofs of an old result that the reduced Euler characteristic of a matroid complex is equal to the Möbius number of the lattice of cycles of the matroid up to…
Shellability and homology of -complexes and -matroids
Sudhir R. Ghorpade, Rakhi Pratihar, Tovohery H. Randrianarisoa
We consider a -analogue of abstract simplicial complexes, called -complexes, and discuss the notion of shellability for such complexes. It is shown that -complexes formed…
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…