4 papers
Constructions of non-Generalized Reed-Solomon MDS codes
Shengwei Liu, Hongwei Liu, Frederique Oggier
Generalized Reed-Solomon codes form the most prominent class of maximum distance separable (MDS) codes, codes that are optimal in the sense that their minimum distance cannot be im…
New upper bounds on the number of non-zero weights of constacyclic codes
Li Chen, Yuqing Fu, Hongwei Liu
For any simple-root constacyclic code over a finite field , as far as we know, the group generated by the multiplier, the constacyclic shi…
The dual codes of two classes of LCD BCH codes
Yuqing Fu, Hongwei Liu
Cyclic BCH codes and negacyclic BCH codes form important subclasses of cyclic codes and negacyclic codes, respectively, and can produce optimal linear codes in many cases. To the b…
Two classes of LCD BCH codes over finite fields
Yuqing Fu, Hongwei Liu
BCH codes form an important subclass of cyclic codes, and are widely used in compact discs, digital audio tapes and other data storage systems to improve data reliability. As far a…