5 papers
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…
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…