6 papers
On the Maximal Length of MDS Elliptic Codes
Haojie Chen, Chuangqiang Hu, Junjie Huang +1
The determination of the maximal length of maximum distance separable (MDS) codes arising from elliptic curves is a central problem in coding theory. For an elliptic curve over…
On Permutation Groups of Cyclic Codes over Finite Fields
Junjie Huang, Jicheng Ma, Chang-An Zhao
The permutation groups of cyclic codes are widely applicable in determining the weight distribution of codes, decoding theory and various other areas. In this paper, by employing t…
Locally Repairable Codes with Availability via Elliptic Function Fields
Junjie Huang, Chang-An Zhao
Locally repairable codes with availability have become essential components in modern large-scale distributed cloud storage systems and numerous other applications. In this paper,…
Successive Cancellation List Decoding of Extended Reed-Solomon Codes
Xiaoqian Ye, Jingyu Lin, Junjie Huang +2
Reed-Solomon (RS) codes are an important class of non-binary error-correction codes. They are particularly competent in correcting burst errors, being widely applied in modern comm…
Linear Complementary Pairs of Algebraic Geometry Codes via Kummer Extensions
Huang Junjie, Chen Haojie, Zhang Huachao +1
Due to their widespread applications, linear complementary pairs (LCPs) have attracted much attention in recent years. In this paper, we determine explicit construction of non-spec…
Optimal and Almost Optimal Locally Repairable Codes from Hyperelliptic Curves
Junjie Huang, Chang-An Zhao
Locally repairable codes are widely applicable in contemporary large-scale distributed cloud storage systems and various other areas. By making use of some algebraic structures of…