Information on Result #719808
Linear OA(985, 728, F9, 32) (dual of [728, 643, 33]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {69,70,…,100}, and designed minimum distance d ≥ |I|+1 = 33
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 BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(985, 691, F9, 2, 32) (dual of [(691, 2), 1297, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(985, 691, F9, 3, 32) (dual of [(691, 3), 1988, 33]-NRT-code) | [i] | ||
| 3 | Digital (53, 85, 691)-net over F9 | [i] | ||
| 4 | Linear OA(9104, 783, F9, 32) (dual of [783, 679, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(9102, 778, F9, 32) (dual of [778, 676, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(9101, 777, F9, 32) (dual of [777, 676, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(9100, 774, F9, 32) (dual of [774, 674, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(999, 772, F9, 32) (dual of [772, 673, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(998, 768, F9, 32) (dual of [768, 670, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(997, 765, F9, 32) (dual of [765, 668, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(996, 763, F9, 32) (dual of [763, 667, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(9103, 782, F9, 32) (dual of [782, 679, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(998, 771, F9, 32) (dual of [771, 673, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(997, 767, F9, 32) (dual of [767, 670, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(9103, 765, F9, 34) (dual of [765, 662, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(9102, 763, F9, 34) (dual of [763, 661, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(996, 766, F9, 32) (dual of [766, 670, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(9107, 768, F9, 35) (dual of [768, 661, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(992, 754, F9, 32) (dual of [754, 662, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(9113, 774, F9, 37) (dual of [774, 661, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(9118, 780, F9, 38) (dual of [780, 662, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(9117, 778, F9, 38) (dual of [778, 661, 39]-code) | [i] | ✔ | |
| 23 | Linear OA(9112, 773, F9, 37) (dual of [773, 661, 38]-code) | [i] | ✔ | |
| 24 | Linear OA(9124, 788, F9, 39) (dual of [788, 664, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(9123, 785, F9, 39) (dual of [785, 662, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(9122, 783, F9, 39) (dual of [783, 661, 40]-code) | [i] | ✔ | |
| 27 | Linear OA(9116, 777, F9, 38) (dual of [777, 661, 39]-code) | [i] | ✔ | |
| 28 | Linear OA(9130, 794, F9, 40) (dual of [794, 664, 41]-code) | [i] | ✔ | |
| 29 | Linear OA(9129, 791, F9, 40) (dual of [791, 662, 41]-code) | [i] | ✔ | |
| 30 | Linear OA(9128, 789, F9, 40) (dual of [789, 661, 41]-code) | [i] | ✔ | |
| 31 | Linear OA(9121, 782, F9, 39) (dual of [782, 661, 40]-code) | [i] | ✔ | |
| 32 | Linear OA(9114, 772, F9, 38) (dual of [772, 658, 39]-code) | [i] | ✔ | |