Information on Result #611759
Linear OA(381, 6562, F3, 15) (dual of [6562, 6481, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, 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(388, 6570, F3, 15) (dual of [6570, 6482, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(398, 6579, F3, 17) (dual of [6579, 6481, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(3100, 6566, F3, 19) (dual of [6566, 6466, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(3101, 6572, F3, 19) (dual of [6572, 6471, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(3102, 6582, F3, 19) (dual of [6582, 6480, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(3103, 6584, F3, 19) (dual of [6584, 6481, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(399, 6566, F3, 18) (dual of [6566, 6467, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(3100, 6575, F3, 18) (dual of [6575, 6475, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(3101, 6582, F3, 18) (dual of [6582, 6481, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(382, 6579, F3, 15) (dual of [6579, 6497, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(3121, 6590, F3, 21) (dual of [6590, 6469, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(3123, 6598, F3, 21) (dual of [6598, 6475, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(3124, 6603, F3, 21) (dual of [6603, 6479, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(3124, 6605, F3, 21) (dual of [6605, 6481, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(398, 6580, F3, 17) (dual of [6580, 6482, 18]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 16 | Linear OA(382, 6580, F3, 15) (dual of [6580, 6498, 16]-code) | [i] | ✔ | |