Information on Result #611862
Linear OA(3144, 177147, F3, 20) (dual of [177147, 177003, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20
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(3154, 177158, F3, 20) (dual of [177158, 177004, 21]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3156, 177159, F3, 22) (dual of [177159, 177003, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(3144, 177158, F3, 20) (dual of [177158, 177014, 21]-code) | [i] | ✔ | |
| 4 | Linear OA(3170, 177173, F3, 23) (dual of [177173, 177003, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(3148, 177173, F3, 20) (dual of [177173, 177025, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(3185, 177188, F3, 25) (dual of [177188, 177003, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(3183, 177186, F3, 24) (dual of [177186, 177003, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(3150, 177186, F3, 20) (dual of [177186, 177036, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(3200, 177203, F3, 26) (dual of [177203, 177003, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(3156, 177203, F3, 20) (dual of [177203, 177047, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(3216, 177219, F3, 28) (dual of [177219, 177003, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(3199, 177202, F3, 26) (dual of [177202, 177003, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(3155, 177202, F3, 20) (dual of [177202, 177047, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(3215, 177218, F3, 28) (dual of [177218, 177003, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(3167, 177171, F3, 22) (dual of [177171, 177004, 23]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |