Information on Result #612105
Linear OA(3221, 177148, F3, 31) (dual of [177148, 176927, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound)
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(3220, 177147, F3, 30) (dual of [177147, 176927, 31]-code) | [i] | Truncation | |
| 2 | Linear OA(3236, 177164, F3, 31) (dual of [177164, 176928, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(3244, 177171, F3, 33) (dual of [177171, 176927, 34]-code) | [i] | ✔ | |
| 4 | Linear OA(3222, 177171, F3, 29) (dual of [177171, 176949, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(3224, 177152, F3, 31) (dual of [177152, 176928, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(3225, 177158, F3, 31) (dual of [177158, 176933, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(3226, 177168, F3, 31) (dual of [177168, 176942, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(3227, 177176, F3, 31) (dual of [177176, 176949, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(3223, 177152, F3, 30) (dual of [177152, 176929, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(3224, 177161, F3, 30) (dual of [177161, 176937, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(3225, 177174, F3, 30) (dual of [177174, 176949, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(3231, 177184, F3, 31) (dual of [177184, 176953, 32]-code) | [i] | ✔ | |
| 13 | Linear OA(3232, 177189, F3, 31) (dual of [177189, 176957, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(3233, 177204, F3, 31) (dual of [177204, 176971, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(3229, 177189, F3, 30) (dual of [177189, 176960, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(3230, 177201, F3, 30) (dual of [177201, 176971, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(3227, 177198, F3, 29) (dual of [177198, 176971, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(3232, 177203, F3, 31) (dual of [177203, 176971, 32]-code) | [i] | ✔ | |
| 19 | Linear OOA(3221, 88574, F3, 2, 31) (dual of [(88574, 2), 176927, 32]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(3221, 44287, F3, 4, 31) (dual of [(44287, 4), 176927, 32]-NRT-code) | [i] | ||