Information on Result #676355
Linear OA(3145, 730, F3, 37) (dual of [730, 585, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(3158, 743, F3, 39) (dual of [743, 585, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3146, 743, F3, 35) (dual of [743, 597, 36]-code) | [i] | ✔ | |
| 3 | Linear OA(3149, 740, F3, 37) (dual of [740, 591, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(3150, 747, F3, 37) (dual of [747, 597, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(3148, 743, F3, 36) (dual of [743, 595, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(3177, 758, F3, 43) (dual of [758, 581, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(3179, 764, F3, 43) (dual of [764, 585, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(3177, 762, F3, 42) (dual of [762, 585, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(3174, 750, F3, 41) (dual of [750, 576, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(3175, 760, F3, 41) (dual of [760, 585, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(3173, 758, F3, 40) (dual of [758, 585, 41]-code) | [i] | ✔ | |
| 12 | Linear OA(3153, 758, F3, 37) (dual of [758, 605, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(3155, 764, F3, 37) (dual of [764, 609, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(3153, 762, F3, 36) (dual of [762, 609, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(3150, 750, F3, 35) (dual of [750, 600, 36]-code) | [i] | ✔ | |
| 16 | Linear OA(3151, 760, F3, 35) (dual of [760, 609, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(3149, 758, F3, 34) (dual of [758, 609, 35]-code) | [i] | ✔ | |
| 18 | Linear OA(3196, 771, F3, 45) (dual of [771, 575, 46]-code) | [i] | ✔ | |
| 19 | Linear OA(3197, 773, F3, 45) (dual of [773, 576, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(3198, 783, F3, 45) (dual of [783, 585, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(3167, 782, F3, 37) (dual of [782, 615, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(3164, 778, F3, 36) (dual of [778, 614, 37]-code) | [i] | ✔ | |
| 23 | Linear OA(3165, 780, F3, 36) (dual of [780, 615, 37]-code) | [i] | ✔ | |
| 24 | Linear OA(3166, 787, F3, 36) (dual of [787, 621, 37]-code) | [i] | ✔ | |
| 25 | Linear OA(3160, 771, F3, 35) (dual of [771, 611, 36]-code) | [i] | ✔ | |