Information on Result #611865
Linear OA(3183, 4782969, F3, 20) (dual of [4782969, 4782786, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20
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(3193, 4782980, F3, 20) (dual of [4782980, 4782787, 21]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3198, 4782984, F3, 22) (dual of [4782984, 4782786, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(3183, 4782983, F3, 20) (dual of [4782983, 4782800, 21]-code) | [i] | ✔ | |
| 4 | Linear OA(3215, 4783001, F3, 23) (dual of [4783001, 4782786, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(3187, 4783001, F3, 20) (dual of [4783001, 4782814, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(3233, 4783010, F3, 25) (dual of [4783010, 4782777, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(3234, 4783020, F3, 25) (dual of [4783020, 4782786, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(3231, 4783017, F3, 24) (dual of [4783017, 4782786, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(3189, 4783017, F3, 20) (dual of [4783017, 4782828, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(3195, 4783025, F3, 20) (dual of [4783025, 4782830, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(3250, 4783036, F3, 26) (dual of [4783036, 4782786, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(3194, 4783036, F3, 20) (dual of [4783036, 4782842, 21]-code) | [i] | ✔ | |