Information on Result #612144
Linear OA(3177, 6562, F3, 33) (dual of [6562, 6385, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(3193, 6579, F3, 33) (dual of [6579, 6386, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3194, 6579, F3, 35) (dual of [6579, 6385, 36]-code) | [i] | ✔ | |
| 3 | Linear OA(3196, 6566, F3, 37) (dual of [6566, 6370, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(3197, 6572, F3, 37) (dual of [6572, 6375, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(3198, 6582, F3, 37) (dual of [6582, 6384, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(3199, 6584, F3, 37) (dual of [6584, 6385, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(3195, 6566, F3, 36) (dual of [6566, 6371, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(3196, 6575, F3, 36) (dual of [6575, 6379, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(3197, 6582, F3, 36) (dual of [6582, 6385, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(3178, 6579, F3, 33) (dual of [6579, 6401, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(3217, 6590, F3, 39) (dual of [6590, 6373, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(3219, 6598, F3, 39) (dual of [6598, 6379, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(3220, 6603, F3, 39) (dual of [6603, 6383, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(3221, 6606, F3, 39) (dual of [6606, 6385, 40]-code) | [i] | ✔ | |
| 15 | Linear OA(3217, 6602, F3, 38) (dual of [6602, 6385, 39]-code) | [i] | ✔ | |
| 16 | Linear OA(3185, 6590, F3, 33) (dual of [6590, 6405, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(3187, 6598, F3, 33) (dual of [6598, 6411, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(3188, 6603, F3, 33) (dual of [6603, 6415, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(3189, 6606, F3, 33) (dual of [6606, 6417, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(3185, 6602, F3, 32) (dual of [6602, 6417, 33]-code) | [i] | ✔ | |
| 21 | Linear OA(3249, 6634, F3, 43) (dual of [6634, 6385, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(3246, 6631, F3, 42) (dual of [6631, 6385, 43]-code) | [i] | ✔ | |
| 23 | Linear OA(3242, 6627, F3, 41) (dual of [6627, 6385, 42]-code) | [i] | ✔ | |
| 24 | Linear OA(3194, 6627, F3, 33) (dual of [6627, 6433, 34]-code) | [i] | ✔ | |
| 25 | Linear OA(3220, 6605, F3, 39) (dual of [6605, 6385, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(3188, 6605, F3, 33) (dual of [6605, 6417, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(3193, 6626, F3, 33) (dual of [6626, 6433, 34]-code) | [i] | ✔ | |