Information on Result #611701
Linear OA(349, 730, F3, 13) (dual of [730, 681, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(348, 729, F3, 12) (dual of [729, 681, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(354, 736, F3, 13) (dual of [736, 682, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(362, 743, F3, 15) (dual of [743, 681, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(352, 734, F3, 13) (dual of [734, 682, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(353, 740, F3, 13) (dual of [740, 687, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(354, 747, F3, 13) (dual of [747, 693, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(351, 734, F3, 12) (dual of [734, 683, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(352, 743, F3, 12) (dual of [743, 691, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(381, 758, F3, 19) (dual of [758, 677, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(383, 764, F3, 19) (dual of [764, 681, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(381, 762, F3, 18) (dual of [762, 681, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(368, 750, F3, 15) (dual of [750, 682, 16]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 13 | Linear OOA(349, 365, F3, 2, 13) (dual of [(365, 2), 681, 14]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(349, 146, F3, 5, 13) (dual of [(146, 5), 681, 14]-NRT-code) | [i] | ||