Information on Result #611809
Linear OA(3155, 4782969, F3, 17) (dual of [4782969, 4782814, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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(3163, 4782978, F3, 17) (dual of [4782978, 4782815, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3165, 4782982, F3, 17) (dual of [4782982, 4782817, 18]-code) | [i] | ||
| 3 | Linear OA(3170, 4782984, F3, 19) (dual of [4782984, 4782814, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3155, 4782983, F3, 17) (dual of [4782983, 4782828, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(3187, 4783001, F3, 20) (dual of [4783001, 4782814, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(3159, 4783001, F3, 17) (dual of [4783001, 4782842, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(3205, 4783010, F3, 22) (dual of [4783010, 4782805, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(3206, 4783020, F3, 22) (dual of [4783020, 4782814, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(3203, 4783017, F3, 21) (dual of [4783017, 4782814, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(3161, 4783017, F3, 17) (dual of [4783017, 4782856, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(3223, 4783025, F3, 23) (dual of [4783025, 4782802, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(3224, 4783038, F3, 23) (dual of [4783038, 4782814, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(3222, 4783036, F3, 23) (dual of [4783036, 4782814, 24]-code) | [i] | ✔ | |