Information on Result #612075
Linear OA(3210, 177147, F3, 29) (dual of [177147, 176937, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29
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(3224, 177162, F3, 29) (dual of [177162, 176938, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3228, 177167, F3, 29) (dual of [177167, 176939, 30]-code) | [i] | ||
| 3 | Linear OA(3222, 177159, F3, 31) (dual of [177159, 176937, 32]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3210, 177158, F3, 29) (dual of [177158, 176948, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(3236, 177173, F3, 32) (dual of [177173, 176937, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(3214, 177173, F3, 29) (dual of [177173, 176959, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(3249, 177186, F3, 33) (dual of [177186, 176937, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(3216, 177186, F3, 29) (dual of [177186, 176970, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(3222, 177203, F3, 29) (dual of [177203, 176981, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(3226, 177218, F3, 29) (dual of [177218, 176992, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(3221, 177202, F3, 29) (dual of [177202, 176981, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(3225, 177217, F3, 29) (dual of [177217, 176992, 30]-code) | [i] | ✔ | |