Information on Result #704245
Linear OA(354, 728, F3, 13) (dual of [728, 674, 14]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(354, 479, F3, 2, 13) (dual of [(479, 2), 904, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(354, 479, F3, 3, 13) (dual of [(479, 3), 1383, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(354, 479, F3, 4, 13) (dual of [(479, 4), 1862, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(354, 479, F3, 5, 13) (dual of [(479, 5), 2341, 14]-NRT-code) | [i] | ||
| 5 | Digital (41, 54, 479)-net over F3 | [i] | ||
| 6 | Linear OA(372, 752, F3, 17) (dual of [752, 680, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(380, 760, F3, 18) (dual of [760, 680, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(369, 743, F3, 17) (dual of [743, 674, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(379, 753, F3, 19) (dual of [753, 674, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(377, 748, F3, 18) (dual of [748, 671, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(396, 769, F3, 21) (dual of [769, 673, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(394, 763, F3, 21) (dual of [763, 669, 22]-code) | [i] | ✔ | |