Information on Result #611894
Linear OA(3169, 531442, F3, 21) (dual of [531442, 531273, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(3179, 531453, F3, 21) (dual of [531453, 531274, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3194, 531467, F3, 23) (dual of [531467, 531273, 24]-code) | [i] | ✔ | |
| 3 | Linear OA(3196, 531446, F3, 25) (dual of [531446, 531250, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(3197, 531452, F3, 25) (dual of [531452, 531255, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(3198, 531462, F3, 25) (dual of [531462, 531264, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(3199, 531472, F3, 25) (dual of [531472, 531273, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(3195, 531446, F3, 24) (dual of [531446, 531251, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(3196, 531455, F3, 24) (dual of [531455, 531259, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(3197, 531470, F3, 24) (dual of [531470, 531273, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(3170, 531467, F3, 21) (dual of [531467, 531297, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(3227, 531478, F3, 27) (dual of [531478, 531251, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(3228, 531483, F3, 27) (dual of [531483, 531255, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(3229, 531498, F3, 27) (dual of [531498, 531269, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(3230, 531503, F3, 27) (dual of [531503, 531273, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(3179, 531478, F3, 21) (dual of [531478, 531299, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(3180, 531483, F3, 21) (dual of [531483, 531303, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(3181, 531498, F3, 21) (dual of [531498, 531317, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(3228, 531501, F3, 27) (dual of [531501, 531273, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(3180, 531501, F3, 21) (dual of [531501, 531321, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(3194, 531468, F3, 23) (dual of [531468, 531274, 24]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 21 | Linear OA(3170, 531468, F3, 21) (dual of [531468, 531298, 22]-code) | [i] | ✔ | |