Information on Result #611938
Linear OA(3211, 4782969, F3, 23) (dual of [4782969, 4782758, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(3222, 4782981, F3, 23) (dual of [4782981, 4782759, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3225, 4782985, F3, 23) (dual of [4782985, 4782760, 24]-code) | [i] | ||
| 3 | Linear OA(3226, 4782984, F3, 25) (dual of [4782984, 4782758, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3211, 4782983, F3, 23) (dual of [4782983, 4782772, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(3243, 4783001, F3, 26) (dual of [4783001, 4782758, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(3215, 4783001, F3, 23) (dual of [4783001, 4782786, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(3217, 4783017, F3, 23) (dual of [4783017, 4782800, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(3223, 4783025, F3, 23) (dual of [4783025, 4782802, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(3224, 4783038, F3, 23) (dual of [4783038, 4782814, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(3222, 4783036, F3, 23) (dual of [4783036, 4782814, 24]-code) | [i] | ✔ | |