Information on Result #612304
Linear OA(3181, 730, F3, 45) (dual of [730, 549, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (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(3202, 752, F3, 45) (dual of [752, 550, 46]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3194, 743, F3, 47) (dual of [743, 549, 48]-code) | [i] | ✔ | |
| 3 | Linear OA(3197, 740, F3, 49) (dual of [740, 543, 50]-code) | [i] | ✔ | |
| 4 | Linear OA(3198, 747, F3, 49) (dual of [747, 549, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(3196, 743, F3, 48) (dual of [743, 547, 49]-code) | [i] | ✔ | |
| 6 | Linear OA(3182, 743, F3, 45) (dual of [743, 561, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(3213, 758, F3, 51) (dual of [758, 545, 52]-code) | [i] | ✔ | |
| 8 | Linear OA(3215, 764, F3, 51) (dual of [764, 549, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(3213, 762, F3, 50) (dual of [762, 549, 51]-code) | [i] | ✔ | |
| 10 | Linear OA(3189, 758, F3, 45) (dual of [758, 569, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(3191, 764, F3, 45) (dual of [764, 573, 46]-code) | [i] | ✔ | |
| 12 | Linear OA(3189, 762, F3, 44) (dual of [762, 573, 45]-code) | [i] | ✔ | |
| 13 | Linear OA(3241, 784, F3, 57) (dual of [784, 543, 58]-code) | [i] | ✔ | |
| 14 | Linear OA(3244, 793, F3, 57) (dual of [793, 549, 58]-code) | [i] | ✔ | |
| 15 | Linear OA(3242, 791, F3, 56) (dual of [791, 549, 57]-code) | [i] | ✔ | |
| 16 | Linear OA(3236, 778, F3, 54) (dual of [778, 542, 55]-code) | [i] | ✔ | |
| 17 | Linear OA(3237, 780, F3, 54) (dual of [780, 543, 55]-code) | [i] | ✔ | |
| 18 | Linear OA(3238, 787, F3, 54) (dual of [787, 549, 55]-code) | [i] | ✔ | |
| 19 | Linear OA(3232, 771, F3, 53) (dual of [771, 539, 54]-code) | [i] | ✔ | |
| 20 | Linear OA(3233, 773, F3, 53) (dual of [773, 540, 54]-code) | [i] | ✔ | |
| 21 | Linear OA(3234, 783, F3, 53) (dual of [783, 549, 54]-code) | [i] | ✔ | |
| 22 | Linear OA(3196, 771, F3, 45) (dual of [771, 575, 46]-code) | [i] | ✔ | |
| 23 | Linear OA(3197, 773, F3, 45) (dual of [773, 576, 46]-code) | [i] | ✔ | |
| 24 | Linear OA(3198, 783, F3, 45) (dual of [783, 585, 46]-code) | [i] | ✔ | |
| 25 | Linear OA(3230, 772, F3, 52) (dual of [772, 542, 53]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |