Information on Result #719831
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 = {63,64,…,93}, 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(993, 764, F9, 31) (dual of [764, 671, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(992, 762, F9, 31) (dual of [762, 670, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(991, 759, F9, 31) (dual of [759, 668, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(990, 757, F9, 31) (dual of [757, 667, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(988, 751, F9, 31) (dual of [751, 663, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(987, 748, F9, 31) (dual of [748, 661, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(986, 745, F9, 31) (dual of [745, 659, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(985, 743, F9, 31) (dual of [743, 658, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(9118, 782, F9, 38) (dual of [782, 664, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(9100, 753, F9, 35) (dual of [753, 653, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(9116, 777, F9, 38) (dual of [777, 661, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(9115, 773, F9, 38) (dual of [773, 658, 39]-code) | [i] | ✔ | |
| 16 | Linear OA(9113, 768, F9, 38) (dual of [768, 655, 39]-code) | [i] | ✔ | |
| 17 | Linear OA(9111, 763, F9, 38) (dual of [763, 652, 39]-code) | [i] | ✔ | |
| 18 | Linear OA(9117, 770, F9, 39) (dual of [770, 653, 40]-code) | [i] | ✔ | |
| 19 | Linear OA(9121, 767, F9, 41) (dual of [767, 646, 42]-code) | [i] | ✔ | |
| 20 | Linear OA(9125, 771, F9, 42) (dual of [771, 646, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(9130, 776, F9, 43) (dual of [776, 646, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(9134, 780, F9, 44) (dual of [780, 646, 45]-code) | [i] | ✔ | |
| 23 | Linear OA(9140, 786, F9, 45) (dual of [786, 646, 46]-code) | [i] | ✔ | |
| 24 | Linear OA(9139, 783, F9, 45) (dual of [783, 644, 46]-code) | [i] | ✔ | |
| 25 | Linear OA(9138, 781, F9, 45) (dual of [781, 643, 46]-code) | [i] | ✔ | |