Information on Result #719491
Linear OA(972, 728, F9, 27) (dual of [728, 656, 28]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(987, 748, F9, 27) (dual of [748, 661, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(988, 756, F9, 27) (dual of [756, 668, 28]-code) | [i] | ||
| 3 | Linear OA(989, 758, F9, 27) (dual of [758, 669, 28]-code) | [i] | ||
| 4 | Linear OA(990, 760, F9, 27) (dual of [760, 670, 28]-code) | [i] | ||
| 5 | Linear OA(991, 763, F9, 27) (dual of [763, 672, 28]-code) | [i] | ||
| 6 | Linear OOA(972, 639, F9, 2, 27) (dual of [(639, 2), 1206, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(972, 639, F9, 3, 27) (dual of [(639, 3), 1845, 28]-NRT-code) | [i] | ||
| 8 | Digital (45, 72, 639)-net over F9 | [i] | ||
| 9 | Linear OA(975, 769, F9, 27) (dual of [769, 694, 28]-code) | [i] | Varšamov–Edel Lengthening | |
| 10 | Linear OA(976, 827, F9, 27) (dual of [827, 751, 28]-code) | [i] | ||
| 11 | Linear OA(990, 778, F9, 27) (dual of [778, 688, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 12 | Linear OA(987, 769, F9, 27) (dual of [769, 682, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(9102, 773, F9, 33) (dual of [773, 671, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(9115, 789, F9, 35) (dual of [789, 674, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(9107, 778, F9, 34) (dual of [778, 671, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(9113, 784, F9, 35) (dual of [784, 671, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(9111, 778, F9, 35) (dual of [778, 667, 36]-code) | [i] | ✔ | |
| 18 | Linear OA(9104, 769, F9, 34) (dual of [769, 665, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(997, 759, F9, 33) (dual of [759, 662, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(9110, 775, F9, 35) (dual of [775, 665, 36]-code) | [i] | ✔ | |
| 21 | Linear OA(9108, 769, F9, 35) (dual of [769, 661, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(9102, 764, F9, 34) (dual of [764, 662, 35]-code) | [i] | ✔ | |
| 23 | Linear OA(996, 755, F9, 33) (dual of [755, 659, 34]-code) | [i] | ✔ | |
| 24 | Linear OA(9108, 770, F9, 35) (dual of [770, 662, 36]-code) | [i] | ✔ | |
| 25 | Linear OA(9107, 766, F9, 35) (dual of [766, 659, 36]-code) | [i] | ✔ | |
| 26 | Linear OA(9106, 764, F9, 35) (dual of [764, 658, 36]-code) | [i] | ✔ | |
| 27 | Linear OA(9101, 760, F9, 34) (dual of [760, 659, 35]-code) | [i] | ✔ | |
| 28 | Linear OA(984, 740, F9, 31) (dual of [740, 656, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(9103, 759, F9, 35) (dual of [759, 656, 36]-code) | [i] | ✔ | |
| 30 | Linear OA(988, 744, F9, 32) (dual of [744, 656, 33]-code) | [i] | ✔ | |
| 31 | Linear OA(993, 749, F9, 33) (dual of [749, 656, 34]-code) | [i] | ✔ | |
| 32 | Linear OA(9102, 758, F9, 35) (dual of [758, 656, 36]-code) | [i] | ✔ | |
| 33 | Linear OA(9107, 763, F9, 36) (dual of [763, 656, 37]-code) | [i] | ✔ | |
| 34 | Linear OOA(972, 364, F9, 2, 27) (dual of [(364, 2), 656, 28]-NRT-code) | [i] | OOA Folding | |
| 35 | Linear OOA(972, 242, F9, 3, 27) (dual of [(242, 3), 654, 28]-NRT-code) | [i] | ||