Information on Result #611682
Linear OA(399, 4782969, F3, 11) (dual of [4782969, 4782870, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(3104, 4782975, F3, 11) (dual of [4782975, 4782871, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3105, 4782981, F3, 11) (dual of [4782981, 4782876, 12]-code) | [i] | ||
| 3 | Linear OA(3114, 4782984, F3, 13) (dual of [4782984, 4782870, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(399, 4782983, F3, 11) (dual of [4782983, 4782884, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(3131, 4783001, F3, 14) (dual of [4783001, 4782870, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(3103, 4783001, F3, 11) (dual of [4783001, 4782898, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(3149, 4783010, F3, 16) (dual of [4783010, 4782861, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(3150, 4783020, F3, 16) (dual of [4783020, 4782870, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(3147, 4783017, F3, 15) (dual of [4783017, 4782870, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(3105, 4783017, F3, 11) (dual of [4783017, 4782912, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(3114, 4782985, F3, 13) (dual of [4782985, 4782871, 14]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(3100, 4782985, F3, 11) (dual of [4782985, 4782885, 12]-code) | [i] | ✔ | |