Information on Result #611610
Linear OA(331, 729, F3, 8) (dual of [729, 698, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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(338, 736, F3, 10) (dual of [736, 698, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(331, 735, F3, 8) (dual of [735, 704, 9]-code) | [i] | ✔ | |
| 3 | Linear OA(346, 742, F3, 11) (dual of [742, 696, 12]-code) | [i] | ✔ | |
| 4 | Linear OA(347, 745, F3, 11) (dual of [745, 698, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(334, 742, F3, 8) (dual of [742, 708, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(354, 749, F3, 12) (dual of [749, 695, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(353, 747, F3, 12) (dual of [747, 694, 13]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(345, 738, F3, 11) (dual of [738, 693, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(339, 738, F3, 10) (dual of [738, 699, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(333, 738, F3, 8) (dual of [738, 705, 9]-code) | [i] | ✔ | |