On $[[n,n-4,3]{]}_q$ Quantum MDS Codes for odd prime power $q$

Ruihu Li, Zongben Xu

For each odd prime power $q$, let $4\le n\le q^2+1$. Hermitian self-orthogonal $[n,2,n-1]$ codes over $GF(q^2)$ with dual distance three are constructed by using finite fiel…