Information on Result #615454
Linear OA(910, 729, F9, 4) (dual of [729, 719, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(910, 732, F9, 4) (dual of [732, 722, 5]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(917, 736, F9, 6) (dual of [736, 719, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(922, 741, F9, 7) (dual of [741, 719, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(926, 745, F9, 8) (dual of [745, 719, 9]-code) | [i] | ✔ | |
| 5 | Linear OA(927, 747, F9, 8) (dual of [747, 720, 9]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(917, 737, F9, 6) (dual of [737, 720, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |