3 citations · 7 across the 5 of their papers we have counts for
6 papers
Constant-Rank Codes
Maximilien Gadouleau, Zhiyuan Yan
Constant-dimension codes have recently received attention due to their significance to error control in noncoherent random network coding. In this paper, we show that constant-rank…
MacWilliams Identity for Codes with the Rank Metric
Maximilien Gadouleau, Zhiyuan Yan
The MacWilliams identity, which relates the weight distribution of a code to the weight distribution of its dual code, is useful in determining the weight distribution of codes. In…
Properties of Rank Metric Codes
Maximilien Gadouleau, Zhiyuan Yan
This paper investigates general properties of codes with the rank metric. We first investigate asymptotic packing properties of rank metric codes. Then, we study sphere covering pr…
MacWilliams Identity for the Rank Metric
Maximilien Gadouleau, Zhiyuan Yan
This paper investigates the relationship between the rank weight distribution of a linear code and that of its dual code. The main result of this paper is that, similar to the MacW…
Packing and Covering Properties of Rank Metric Codes
Maximilien Gadouleau, Zhiyuan Yan
This paper investigates packing and covering properties of codes with the rank metric. First, we investigate packing properties of rank metric codes. Then, we study sphere covering…
On the Decoder Error Probability of Bounded Rank-Distance Decoders for Maximum Rank Distance Codes
Maximilien Gadouleau, Zhiyuan Yan
In this paper, we first introduce the concept of elementary linear subspace, which has similar properties to those of a set of coordinates. We then use elementary linear subspaces…