6 papers
Non-Reed-Solomon Type MDS Codes from Elliptic Curves
Puyin Wang, Wei Liu, Jinquan Luo +1
New families of maximum distance separable (MDS) codes are constructed from elliptic curves by exploiting their group structures. In contrast to classical constructions based on di…
A Generic Construction on Self-orthogonal Algebraic Geometric Codes and Its Applications
Puyin Wang, Jinquan Luo
In the realm of algebraic geometric (AG) codes, characterizing dual codes has long been a challenging task. In this paper we introduces a generalized criterion to characterize self…
Bounds and Constructions of Maximum Toroidal Distance Codes
Pengjie Zhong, Jinquan Luo, Yufeng Song
In lattice-based cryptographic schemes, both encoded messages and accumulated decryption noise are represented in a modulo space. Therefore, it is natural to study toroidal dis…
Column Twisted Reed-Solomon Codes as MDS Codes
Wei Liu, Jinquan Luo, Puyin Wang +1
In this paper, we study column twisted Reed-Solomon(TRS) codes. We establish some sufficient conditions for these codes to be MDS and show that the dimension of their Schur square…
Self-orthogonal and self-dual codes from maximal curves
Puyin Wang, Jinquan Luo
In the field of algebraic geometric codes (AG codes), the characterization of dual codes has long been a challenging problem which relies on differentials. In this paper, we provid…
Two Classes of Quantum MDS Codes with Large Minimal Distance
Puyin Wang, Jinquan Luo
In this paper, two classes of quantum MDS codes are constructed. The main tools are multiplicative structures on finite fields. Carefully choosing different cosets can make the cor…