Information on Result #612108
Linear OA(3241, 531442, F3, 31) (dual of [531442, 531201, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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(3240, 531441, F3, 30) (dual of [531441, 531201, 31]-code) | [i] | Truncation | |
| 2 | Linear OA(3242, 531467, F3, 29) (dual of [531467, 531225, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(3244, 531446, F3, 31) (dual of [531446, 531202, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(3245, 531452, F3, 31) (dual of [531452, 531207, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(3246, 531462, F3, 31) (dual of [531462, 531216, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(3247, 531472, F3, 31) (dual of [531472, 531225, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(3243, 531446, F3, 30) (dual of [531446, 531203, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(3244, 531455, F3, 30) (dual of [531455, 531211, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(3245, 531470, F3, 30) (dual of [531470, 531225, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(3249, 531483, F3, 30) (dual of [531483, 531234, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(3250, 531499, F3, 30) (dual of [531499, 531249, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(3247, 531496, F3, 29) (dual of [531496, 531249, 30]-code) | [i] | ✔ | |
| 13 | Linear OOA(3241, 265721, F3, 2, 31) (dual of [(265721, 2), 531201, 32]-NRT-code) | [i] | OOA Folding | |