2 citations · 4 across the 2 of their papers we have counts for
8 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…
Complexity Analysis of Reed-Solomon Decoding over GF(2^m) Without Using Syndromes
Ning Chen, Zhiyuan Yan
For the majority of the applications of Reed-Solomon (RS) codes, hard decision decoding is based on syndromes. Recently, there has been renewed interest in decoding RS codes withou…
Cyclotomic FFTs with Reduced Additive Complexities Based on a Novel Common Subexpression Elimination Algorithm
Ning Chen, Zhiyuan Yan
In this paper, we first propose a novel common subexpression elimination (CSE) algorithm for matrix-vector multiplications over characteristic-2 fields. As opposed to previously pr…
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…