Table 3 New QEC MDS codes derived from construction II.

\(10\mid (q+1)\)

10

1

\([[\frac{3(q^2-1)}{10},\frac{3(q^2-1)}{10}-2k,k+1]]_q\)

\(1\le k\le \frac{7(q+1)}{10}-2\)

\(14\mid (q+1)\)

14

2

\([[\frac{5(q^2-1)}{14},\frac{5(q^2-1)}{14}-2k,k+1]]_q\)

\(1\le k\le \frac{5(q+1)}{7}-2\)

\(18\mid (q+1)\)

18

3

\([[\frac{7(q^2-1)}{18},\frac{7(q^2-1)}{18}-2k,k+1]]_q\)

\(1\le k\le \frac{13(q+1)}{18}-2\)

\(22\mid (q+1)\)

22

4

\([[\frac{9(q^2-1)}{22},\frac{9(q^2-1)}{22}-2k,k+1]]_q\)

\(1\le k\le \frac{8(q+1)}{11}-2\)

\(26\mid (q+1)\)

26

5

\([[\frac{11(q^2-1)}{26},\frac{11(q^2-1)}{26}-2k,k+1]]_q\)

\(1\le k\le \frac{19(q+1)}{26}-2\)