Information on Result #718969
Linear OA(934, 728, F9, 13) (dual of [728, 694, 14]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−2,−1,…,10}, and designed minimum distance d ≥ |I|+1 = 14
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(934, 442, F9, 2, 13) (dual of [(442, 2), 850, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(934, 442, F9, 3, 13) (dual of [(442, 3), 1292, 14]-NRT-code) | [i] | ||
| 3 | Digital (21, 34, 442)-net over F9 | [i] | ||
| 4 | Linear OA(939, 746, F9, 13) (dual of [746, 707, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(936, 740, F9, 13) (dual of [740, 704, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(935, 738, F9, 13) (dual of [738, 703, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(938, 738, F9, 14) (dual of [738, 700, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(942, 742, F9, 15) (dual of [742, 700, 16]-code) | [i] | ✔ | |