Information on Result #674256
Linear OA(3169, 4782969, F3, 19) (dual of [4782969, 4782800, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(3183, 4782983, F3, 20) (dual of [4782983, 4782800, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3170, 4782984, F3, 19) (dual of [4782984, 4782814, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(3201, 4783001, F3, 22) (dual of [4783001, 4782800, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(3170, 4782998, F3, 18) (dual of [4782998, 4782828, 19]-code) | [i] | ✔ | |
| 5 | Linear OA(3173, 4783001, F3, 19) (dual of [4783001, 4782828, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(3217, 4783017, F3, 23) (dual of [4783017, 4782800, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(3177, 4783010, F3, 19) (dual of [4783010, 4782833, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(3178, 4783020, F3, 19) (dual of [4783020, 4782842, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(3175, 4783017, F3, 18) (dual of [4783017, 4782842, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(3170, 4782999, F3, 18) (dual of [4782999, 4782829, 19]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 11 | Linear OOA(3169, 1594323, F3, 3, 19) (dual of [(1594323, 3), 4782800, 20]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(3169, 1195742, F3, 4, 19) (dual of [(1195742, 4), 4782799, 20]-NRT-code) | [i] | ||