Information on Result #611768
Linear OA(3111, 177148, F3, 15) (dual of [177148, 177037, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(3118, 177156, F3, 15) (dual of [177156, 177038, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3136, 177152, F3, 19) (dual of [177152, 177016, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(3137, 177158, F3, 19) (dual of [177158, 177021, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(3138, 177168, F3, 19) (dual of [177168, 177030, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(3139, 177176, F3, 19) (dual of [177176, 177037, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(3135, 177152, F3, 18) (dual of [177152, 177017, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(3136, 177161, F3, 18) (dual of [177161, 177025, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(3137, 177174, F3, 18) (dual of [177174, 177037, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(3112, 177171, F3, 15) (dual of [177171, 177059, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(3165, 177184, F3, 21) (dual of [177184, 177019, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(3166, 177189, F3, 21) (dual of [177189, 177023, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(3167, 177204, F3, 21) (dual of [177204, 177037, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(3166, 177203, F3, 21) (dual of [177203, 177037, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(3112, 177172, F3, 15) (dual of [177172, 177060, 16]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |