Information on Result #612284
Linear OA(3225, 6562, F3, 43) (dual of [6562, 6337, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (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(3224, 6561, F3, 42) (dual of [6561, 6337, 43]-code) | [i] | Truncation | |
| 2 | Linear OA(3246, 6584, F3, 43) (dual of [6584, 6338, 44]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(3242, 6579, F3, 45) (dual of [6579, 6337, 46]-code) | [i] | ✔ | |
| 4 | Linear OA(3226, 6579, F3, 41) (dual of [6579, 6353, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(3228, 6566, F3, 43) (dual of [6566, 6338, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(3229, 6572, F3, 43) (dual of [6572, 6343, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(3230, 6582, F3, 43) (dual of [6582, 6352, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(3231, 6584, F3, 43) (dual of [6584, 6353, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(3227, 6566, F3, 42) (dual of [6566, 6339, 43]-code) | [i] | ✔ | |
| 10 | Linear OA(3228, 6575, F3, 42) (dual of [6575, 6347, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(3229, 6582, F3, 42) (dual of [6582, 6353, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(3233, 6590, F3, 43) (dual of [6590, 6357, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(3235, 6598, F3, 43) (dual of [6598, 6363, 44]-code) | [i] | ✔ | |
| 14 | Linear OA(3236, 6603, F3, 43) (dual of [6603, 6367, 44]-code) | [i] | ✔ | |
| 15 | Linear OA(3237, 6606, F3, 43) (dual of [6606, 6369, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(3233, 6602, F3, 42) (dual of [6602, 6369, 43]-code) | [i] | ✔ | |
| 17 | Linear OA(3231, 6600, F3, 41) (dual of [6600, 6369, 42]-code) | [i] | ✔ | |
| 18 | Linear OA(3229, 6598, F3, 40) (dual of [6598, 6369, 41]-code) | [i] | ✔ | |
| 19 | Linear OA(3249, 6634, F3, 43) (dual of [6634, 6385, 44]-code) | [i] | ✔ | |
| 20 | Linear OA(3246, 6631, F3, 42) (dual of [6631, 6385, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(3242, 6627, F3, 41) (dual of [6627, 6385, 42]-code) | [i] | ✔ | |
| 22 | Linear OA(3250, 6643, F3, 42) (dual of [6643, 6393, 43]-code) | [i] | ✔ | |
| 23 | Linear OA(3235, 6601, F3, 43) (dual of [6601, 6366, 44]-code) | [i] | ✔ | |
| 24 | Linear OA(3236, 6605, F3, 43) (dual of [6605, 6369, 44]-code) | [i] | ✔ | |
| 25 | Linear OOA(3225, 3281, F3, 2, 43) (dual of [(3281, 2), 6337, 44]-NRT-code) | [i] | OOA Folding | |