Information on Result #614261
Linear OA(721, 2401, F7, 6) (dual of [2401, 2380, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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(726, 2406, F7, 8) (dual of [2406, 2380, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(721, 2405, F7, 6) (dual of [2405, 2384, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(731, 2409, F7, 9) (dual of [2409, 2378, 10]-code) | [i] | ✔ | |
| 4 | Linear OA(732, 2412, F7, 9) (dual of [2412, 2380, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(737, 2417, F7, 10) (dual of [2417, 2380, 11]-code) | [i] | ✔ | |
| 6 | Linear OA(736, 2413, F7, 10) (dual of [2413, 2377, 11]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |