Information on Result #611891
Linear OA(3155, 177148, F3, 21) (dual of [177148, 176993, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(3165, 177159, F3, 21) (dual of [177159, 176994, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3178, 177171, F3, 23) (dual of [177171, 176993, 24]-code) | [i] | ✔ | |
| 3 | Linear OA(3180, 177152, F3, 25) (dual of [177152, 176972, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(3181, 177158, F3, 25) (dual of [177158, 176977, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(3182, 177168, F3, 25) (dual of [177168, 176986, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(3183, 177176, F3, 25) (dual of [177176, 176993, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(3179, 177152, F3, 24) (dual of [177152, 176973, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(3180, 177161, F3, 24) (dual of [177161, 176981, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(3181, 177174, F3, 24) (dual of [177174, 176993, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(3156, 177171, F3, 21) (dual of [177171, 177015, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(3209, 177184, F3, 27) (dual of [177184, 176975, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(3210, 177189, F3, 27) (dual of [177189, 176979, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(3211, 177204, F3, 27) (dual of [177204, 176993, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(3165, 177184, F3, 21) (dual of [177184, 177019, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(3166, 177189, F3, 21) (dual of [177189, 177023, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(3167, 177204, F3, 21) (dual of [177204, 177037, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(3210, 177203, F3, 27) (dual of [177203, 176993, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(3166, 177203, F3, 21) (dual of [177203, 177037, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(3178, 177172, F3, 23) (dual of [177172, 176994, 24]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 20 | Linear OA(3156, 177172, F3, 21) (dual of [177172, 177016, 22]-code) | [i] | ✔ | |