4 papers
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…
Hull's Parameters of Projective Reed-Muller Code
Yufeng Song, Jinquan Luo
Projective Reed-Muller codes(PRM codes) are constructed from the family of projective hypersurfaces of a fixed degree over a finite field $\F_q$. In this paper, we completely deter…