Information on Result #719700
Linear OA(982, 728, F9, 31) (dual of [728, 646, 32]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,21}, and designed minimum distance d ≥ |I|+1 = 32
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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(982, 659, F9, 2, 31) (dual of [(659, 2), 1236, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(982, 659, F9, 3, 31) (dual of [(659, 3), 1895, 32]-NRT-code) | [i] | ||
| 3 | Digital (51, 82, 659)-net over F9 | [i] | ||
| 4 | Linear OA(9103, 785, F9, 31) (dual of [785, 682, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(9102, 783, F9, 31) (dual of [783, 681, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(997, 770, F9, 31) (dual of [770, 673, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(996, 768, F9, 31) (dual of [768, 672, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(995, 765, F9, 31) (dual of [765, 670, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(994, 763, F9, 31) (dual of [763, 669, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(9101, 765, F9, 33) (dual of [765, 664, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(9100, 763, F9, 33) (dual of [763, 663, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(9105, 768, F9, 34) (dual of [768, 663, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(9110, 774, F9, 35) (dual of [774, 664, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(9109, 772, F9, 35) (dual of [772, 663, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(9116, 784, F9, 36) (dual of [784, 668, 37]-code) | [i] | ✔ | |
| 16 | Linear OA(9116, 780, F9, 37) (dual of [780, 664, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(9114, 778, F9, 36) (dual of [778, 664, 37]-code) | [i] | ✔ | |
| 18 | Linear OA(9123, 790, F9, 38) (dual of [790, 667, 39]-code) | [i] | ✔ | |
| 19 | Linear OA(9121, 785, F9, 38) (dual of [785, 664, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(9120, 783, F9, 38) (dual of [783, 663, 39]-code) | [i] | ✔ | |