2 papers
cs.IT2026
Recursive Structure of Hulls of PRM Codes
Yufeng Song, Qin Yue
For a nonnegative integer and a positive integer satisfying \[ \frac{r(q-1)}{2}<v<\frac{(r+1)(q-1)}{2}, \] we define the combinatorial numbers \[ A_r(v)= \begin{cases} \dis…
cs.IT2024
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…