Information on Result #704246
Linear OA(367, 728, F3, 17) (dual of [728, 661, 18]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,13}, and designed minimum distance d ≥ |I|+1 = 18
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(367, 391, F3, 2, 17) (dual of [(391, 2), 715, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(367, 391, F3, 3, 17) (dual of [(391, 3), 1106, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(367, 391, F3, 4, 17) (dual of [(391, 4), 1497, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(367, 391, F3, 5, 17) (dual of [(391, 5), 1888, 18]-NRT-code) | [i] | ||
| 5 | Digital (50, 67, 391)-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(371, 750, F3, 17) (dual of [750, 679, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(370, 747, F3, 17) (dual of [747, 677, 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(378, 751, F3, 19) (dual of [751, 673, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(375, 748, F3, 18) (dual of [748, 673, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(377, 748, F3, 19) (dual of [748, 671, 20]-code) | [i] | ✔ | |