Information on Result #704162
Linear OA(336, 728, F3, 9) (dual of [728, 692, 10]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(336, 405, F3, 2, 9) (dual of [(405, 2), 774, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(336, 405, F3, 3, 9) (dual of [(405, 3), 1179, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(336, 405, F3, 4, 9) (dual of [(405, 4), 1584, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(336, 405, F3, 5, 9) (dual of [(405, 5), 1989, 10]-NRT-code) | [i] | ||
| 5 | Digital (27, 36, 405)-net over F3 | [i] | ||
| 6 | Linear OA(345, 743, F3, 11) (dual of [743, 698, 12]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(355, 753, F3, 13) (dual of [753, 698, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(353, 748, F3, 12) (dual of [748, 695, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(360, 752, F3, 14) (dual of [752, 692, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(368, 760, F3, 15) (dual of [760, 692, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(367, 759, F3, 15) (dual of [759, 692, 16]-code) | [i] | ✔ | |
| 12 | Linear OOA(336, 364, F3, 2, 9) (dual of [(364, 2), 692, 10]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(336, 242, F3, 3, 9) (dual of [(242, 3), 690, 10]-NRT-code) | [i] | ||
| 14 | Linear OOA(336, 182, F3, 4, 9) (dual of [(182, 4), 692, 10]-NRT-code) | [i] | ||