Information on Result #676343
Linear OA(3193, 730, F3, 49) (dual of [730, 537, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (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(3206, 743, F3, 51) (dual of [743, 537, 52]-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(3230, 758, F3, 57) (dual of [758, 528, 58]-code) | [i] | ✔ | |
| 7 | Linear OA(3232, 769, F3, 57) (dual of [769, 537, 58]-code) | [i] | ✔ | |
| 8 | Linear OA(3225, 758, F3, 55) (dual of [758, 533, 56]-code) | [i] | ✔ | |
| 9 | Linear OA(3227, 764, F3, 55) (dual of [764, 537, 56]-code) | [i] | ✔ | |
| 10 | Linear OA(3225, 762, F3, 54) (dual of [762, 537, 55]-code) | [i] | ✔ | |
| 11 | Linear OA(3222, 750, F3, 53) (dual of [750, 528, 54]-code) | [i] | ✔ | |
| 12 | Linear OA(3223, 760, F3, 53) (dual of [760, 537, 54]-code) | [i] | ✔ | |
| 13 | Linear OA(3221, 758, F3, 52) (dual of [758, 537, 53]-code) | [i] | ✔ | |
| 14 | Linear OA(3201, 758, F3, 49) (dual of [758, 557, 50]-code) | [i] | ✔ | |
| 15 | Linear OA(3203, 764, F3, 49) (dual of [764, 561, 50]-code) | [i] | ✔ | |
| 16 | Linear OA(3201, 762, F3, 48) (dual of [762, 561, 49]-code) | [i] | ✔ | |
| 17 | Linear OA(3198, 750, F3, 47) (dual of [750, 552, 48]-code) | [i] | ✔ | |
| 18 | Linear OA(3199, 760, F3, 47) (dual of [760, 561, 48]-code) | [i] | ✔ | |
| 19 | Linear OA(3197, 758, F3, 46) (dual of [758, 561, 47]-code) | [i] | ✔ | |
| 20 | Linear OA(3248, 778, F3, 58) (dual of [778, 530, 59]-code) | [i] | ✔ | |
| 21 | Linear OA(3249, 780, F3, 58) (dual of [780, 531, 59]-code) | [i] | ✔ | |
| 22 | Linear OA(3250, 787, F3, 58) (dual of [787, 537, 59]-code) | [i] | ✔ | |
| 23 | Linear OA(3215, 782, F3, 49) (dual of [782, 567, 50]-code) | [i] | ✔ | |
| 24 | Linear OA(3212, 778, F3, 48) (dual of [778, 566, 49]-code) | [i] | ✔ | |
| 25 | Linear OA(3213, 780, F3, 48) (dual of [780, 567, 49]-code) | [i] | ✔ | |
| 26 | Linear OA(3214, 787, F3, 48) (dual of [787, 573, 49]-code) | [i] | ✔ | |
| 27 | Linear OA(3208, 771, F3, 47) (dual of [771, 563, 48]-code) | [i] | ✔ | |
| 28 | Linear OA(3209, 773, F3, 47) (dual of [773, 564, 48]-code) | [i] | ✔ | |
| 29 | Linear OA(3231, 761, F3, 57) (dual of [761, 530, 58]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 30 | Linear OA(3230, 772, F3, 52) (dual of [772, 542, 53]-code) | [i] | ✔ | |