13 citations · 54 across the 40 of their papers we have counts for
27 papers · 1 filter
The minimum distance of the antiprimitive BCH code with designed distance 3
Haojie Xu, Xia Wu, Wei Lu +1
Let denote the antiprimitive BCH code with designed distance 3. In this paper, we demonstrate that the minimum distance of $\mathcal{C}_{(q,q^m+1,…
The dual codes of two families of BCH codes
Haojie Xu, Xia Wu, Wei Lu +1
In this paper, we present an infinite family of MDS codes over and two infinite families of almost MDS codes over for any prime , by invest…
Infinite families of MDS and almost MDS codes from BCH codes
Haojie Xu, Xia Wu, Wei Lu +1
In this paper, the sufficient and necessary condition for the minimum distance of the BCH codes over with length and designed distance 3 to be 3 and 4 are prov…
A Construction of Asymptotically Optimal Cascaded CDC Schemes via Combinatorial Designs
Yingjie Cheng, Gaojun Luo, Xiwang Cao +2
A coded distributed computing (CDC) system aims to reduce the communication load in the MapReduce framework. Such a system has nodes, input files, and Reduce functions.…
New Constructions of Mutually Orthogonal Complementary Sets and Z-Complementary Code Sets Based on Extended Boolean Functions
Hongyang Xiao, Xiwang Cao
Mutually orthogonal complementary sets (MOCSs) and Z-complementary code sets (ZCCSs) have many applications in practical scenarios such as synthetic aperture imaging systems and mu…
Sharper Asymptotically Optimal CDC Schemes via Combinatorial Designs
Yingjie Cheng, Gaojun Luo, Xiwang Cao +2
Coded distributed computing (CDC) was introduced to greatly reduce the communication load for MapReduce computing systems. Such a system has nodes, input files, and Red…