4 papers · 1 filter
Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions
Huachao Zhang, Chang-An Zhao
Recently, constructions of linear complementary pairs (LCPs) of codes and linear complementary dual (LCD) codes on function fields have attracted considerable attention due to the…
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…
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…
Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions
Huachao Zhang, Chang-An Zhao
For a Kummer extension defined by the affine equation $y^{m}=\prod_{i=1}^{r} (x-\a_i)^{λ_i}$ over an algebraic extension of a finite field $\fq$, where $\la_i\in \Z\backslash\{…