Information on Result #612037
Linear OA(3181, 59050, F3, 27) (dual of [59050, 58869, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(3194, 59064, F3, 27) (dual of [59064, 58870, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3202, 59071, F3, 29) (dual of [59071, 58869, 30]-code) | [i] | ✔ | |
| 3 | Linear OA(3204, 59054, F3, 31) (dual of [59054, 58850, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(3205, 59060, F3, 31) (dual of [59060, 58855, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(3206, 59070, F3, 31) (dual of [59070, 58864, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(3207, 59076, F3, 31) (dual of [59076, 58869, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(3203, 59054, F3, 30) (dual of [59054, 58851, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(3204, 59063, F3, 30) (dual of [59063, 58859, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(3205, 59074, F3, 30) (dual of [59074, 58869, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(3182, 59071, F3, 27) (dual of [59071, 58889, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(3231, 59086, F3, 33) (dual of [59086, 58855, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(3232, 59091, F3, 33) (dual of [59091, 58859, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(3233, 59102, F3, 33) (dual of [59102, 58869, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(3229, 59091, F3, 32) (dual of [59091, 58862, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(3230, 59099, F3, 32) (dual of [59099, 58869, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(3191, 59086, F3, 27) (dual of [59086, 58895, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(3192, 59091, F3, 27) (dual of [59091, 58899, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(3193, 59102, F3, 27) (dual of [59102, 58909, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(3232, 59101, F3, 33) (dual of [59101, 58869, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(3192, 59101, F3, 27) (dual of [59101, 58909, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(3197, 59126, F3, 27) (dual of [59126, 58929, 28]-code) | [i] | ✔ | |