8 papers
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,…
Distributed Matrix Multiplication-Friendly Algebraic Function Fields
Yun Long Zhu, Chang-An Zhao
In this paper, we introduce distributed matrix multiplication (DMM)-friendly algebraic function fields for polynomial codes and Matdot codes, and present several constructions for…
Dual and Covering Radii of Extended Algebraic Geometry Codes
Yunlong Zhu, Chang-An Zhao
Many literatures consider the extended Reed-Solomon (RS) codes, including their dual codes and covering radii, but few focus on extended algebraic geometry (AG) codes of genus $g\g…
Explicit Constructions of Sum-Rank Metric Codes from Quadratic Kummer Extensions
Zhu Yunlong, Zhao Chang-An
This paper introduces new constructions of sum-rank metric codes derived from algebraic function fields, as existing results on such codes remain limited. A major challenge lies in…
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…
On Iso-Dual MDS Codes From Elliptic Curves
Yunlong Zhu, Chang-An Zhao
For a linear code over a finite field, if its dual code is equivalent to itself, then the code is said to be {\it isometry-dual}. In this paper, we first confir…
Extension of Optimal Locally Repairable codes
Yunlong Zhu, Chang-An Zhao
Recent studies have delved into the construction of locally repairable codes (LRCs) with optimal minimum distance from function fields. In this paper, we present several novel cons…