Information on Result #718931
Linear OA(928, 728, F9, 11) (dual of [728, 700, 12]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,9}, and designed minimum distance d ≥ |I|+1 = 12
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(928, 373, F9, 2, 11) (dual of [(373, 2), 718, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(928, 373, F9, 3, 11) (dual of [(373, 3), 1091, 12]-NRT-code) | [i] | ||
| 3 | Digital (17, 28, 373)-net over F9 | [i] | ||
| 4 | Linear OA(936, 746, F9, 12) (dual of [746, 710, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(942, 755, F9, 13) (dual of [755, 713, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(934, 741, F9, 12) (dual of [741, 707, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(940, 750, F9, 13) (dual of [750, 710, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(938, 745, F9, 13) (dual of [745, 707, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(931, 734, F9, 12) (dual of [734, 703, 13]-code) | [i] | ✔ | |