Information on Result #612009
Linear OA(3188, 177147, F3, 26) (dual of [177147, 176959, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(3201, 177161, F3, 26) (dual of [177161, 176960, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3200, 177159, F3, 28) (dual of [177159, 176959, 29]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(3188, 177158, F3, 26) (dual of [177158, 176970, 27]-code) | [i] | ✔ | |
| 4 | Linear OA(3214, 177173, F3, 29) (dual of [177173, 176959, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(3192, 177173, F3, 26) (dual of [177173, 176981, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(3229, 177188, F3, 31) (dual of [177188, 176959, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(3227, 177186, F3, 30) (dual of [177186, 176959, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(3194, 177186, F3, 26) (dual of [177186, 176992, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(3244, 177203, F3, 32) (dual of [177203, 176959, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(3200, 177203, F3, 26) (dual of [177203, 177003, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(3204, 177218, F3, 26) (dual of [177218, 177014, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(3243, 177202, F3, 32) (dual of [177202, 176959, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(3199, 177202, F3, 26) (dual of [177202, 177003, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(3203, 177217, F3, 26) (dual of [177217, 177014, 27]-code) | [i] | ✔ | |