Information on Result #676349
Linear OA(3169, 730, F3, 43) (dual of [730, 561, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (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(3182, 743, F3, 45) (dual of [743, 561, 46]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3170, 743, F3, 41) (dual of [743, 573, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(3173, 740, F3, 43) (dual of [740, 567, 44]-code) | [i] | ✔ | |
| 4 | Linear OA(3174, 747, F3, 43) (dual of [747, 573, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(3172, 743, F3, 42) (dual of [743, 571, 43]-code) | [i] | ✔ | |
| 6 | Linear OA(3201, 758, F3, 49) (dual of [758, 557, 50]-code) | [i] | ✔ | |
| 7 | Linear OA(3203, 764, F3, 49) (dual of [764, 561, 50]-code) | [i] | ✔ | |
| 8 | Linear OA(3201, 762, F3, 48) (dual of [762, 561, 49]-code) | [i] | ✔ | |
| 9 | Linear OA(3198, 750, F3, 47) (dual of [750, 552, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(3199, 760, F3, 47) (dual of [760, 561, 48]-code) | [i] | ✔ | |
| 11 | Linear OA(3197, 758, F3, 46) (dual of [758, 561, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(3177, 758, F3, 43) (dual of [758, 581, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(3179, 764, F3, 43) (dual of [764, 585, 44]-code) | [i] | ✔ | |
| 14 | Linear OA(3177, 762, F3, 42) (dual of [762, 585, 43]-code) | [i] | ✔ | |
| 15 | Linear OA(3174, 750, F3, 41) (dual of [750, 576, 42]-code) | [i] | ✔ | |
| 16 | Linear OA(3175, 760, F3, 41) (dual of [760, 585, 42]-code) | [i] | ✔ | |
| 17 | Linear OA(3173, 758, F3, 40) (dual of [758, 585, 41]-code) | [i] | ✔ | |
| 18 | Linear OA(3220, 771, F3, 51) (dual of [771, 551, 52]-code) | [i] | ✔ | |
| 19 | Linear OA(3221, 773, F3, 51) (dual of [773, 552, 52]-code) | [i] | ✔ | |
| 20 | Linear OA(3222, 783, F3, 51) (dual of [783, 561, 52]-code) | [i] | ✔ | |
| 21 | Linear OA(3188, 778, F3, 42) (dual of [778, 590, 43]-code) | [i] | ✔ | |
| 22 | Linear OA(3184, 771, F3, 41) (dual of [771, 587, 42]-code) | [i] | ✔ | |
| 23 | Linear OA(3185, 773, F3, 41) (dual of [773, 588, 42]-code) | [i] | ✔ | |
| 24 | Linear OA(3186, 783, F3, 41) (dual of [783, 597, 42]-code) | [i] | ✔ | |
| 25 | Linear OA(3248, 809, F3, 57) (dual of [809, 561, 58]-code) | [i] | ✔ | |
| 26 | Linear OA(3242, 803, F3, 54) (dual of [803, 561, 55]-code) | [i] | ✔ | |