13 citations · 54 across the 40 of their papers we have counts for
8 papers · 1 filter
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…
Dimensions of some LCD BCH codes
Hanglong Zhang, Xiwang Cao
In this paper, we investigate the first few largest coset leaders modulo where and is an odd prime power, and give the dimensions of some LCD BCH co…
A tight upper bound on the number of non-zero weights of a constacyclic code
Hanglong Zhang, Xiwang Cao
For a simple-root -constacyclic code over , let and be the subgroups of the automorphism group of …
Minimal Linear Codes Constructed from partial spreads
W. Lu, X. Wu, X. W. Cao +2
Partial spread is important in finite geometry and can be used to construct linear codes. From the results in (Designs, Codes and Cryptography 90:1-15, 2022) by Xia Li, Qin Yue and…
Minimal Linear Codes Constructed from hierarchical posets with two levels
X. Wu, W. Lu, X. P. Qin +1
J. Y. Hyun, et al. (Des. Codes Cryptogr., vol. 88, pp. 2475-2492, 2020) constructed some optimal and minimal binary linear codes generated by one or two order ideals in hierarchica…