Information on Result #718901
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 = {82,83,…,92}, 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(934, 749, F9, 11) (dual of [749, 715, 12]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(933, 747, F9, 11) (dual of [747, 714, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(932, 743, F9, 11) (dual of [743, 711, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(932, 744, F9, 11) (dual of [744, 712, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(930, 739, F9, 11) (dual of [739, 709, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(929, 735, F9, 11) (dual of [735, 706, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(963, 769, F9, 19) (dual of [769, 706, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(962, 766, F9, 19) (dual of [766, 704, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(961, 764, F9, 19) (dual of [764, 703, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(960, 760, F9, 19) (dual of [760, 700, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(968, 768, F9, 21) (dual of [768, 700, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(967, 765, F9, 21) (dual of [765, 698, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(966, 763, F9, 21) (dual of [763, 697, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(972, 770, F9, 22) (dual of [770, 698, 23]-code) | [i] | ✔ | |
| 18 | Linear OA(971, 768, F9, 22) (dual of [768, 697, 23]-code) | [i] | ✔ | |
| 19 | Linear OA(976, 774, F9, 23) (dual of [774, 698, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(975, 772, F9, 23) (dual of [772, 697, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(980, 777, F9, 24) (dual of [777, 697, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(984, 781, F9, 25) (dual of [781, 697, 26]-code) | [i] | ✔ | |