Information on Result #720146
Linear OA(997, 728, F9, 37) (dual of [728, 631, 38]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,100}, and designed minimum distance d ≥ |I|+1 = 38
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(997, 701, F9, 2, 37) (dual of [(701, 2), 1305, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(997, 701, F9, 3, 37) (dual of [(701, 3), 2006, 38]-NRT-code) | [i] | ||
| 3 | Digital (60, 97, 701)-net over F9 | [i] | ||
| 4 | Linear OA(9121, 794, F9, 37) (dual of [794, 673, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(9120, 791, F9, 37) (dual of [791, 671, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(9119, 789, F9, 37) (dual of [789, 670, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(9118, 788, F9, 37) (dual of [788, 670, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(9117, 785, F9, 37) (dual of [785, 668, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(9116, 783, F9, 37) (dual of [783, 667, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(9115, 780, F9, 37) (dual of [780, 665, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(9114, 778, F9, 37) (dual of [778, 664, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(9113, 774, F9, 37) (dual of [774, 661, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(9112, 771, F9, 37) (dual of [771, 659, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(9111, 769, F9, 37) (dual of [769, 658, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(9110, 766, F9, 37) (dual of [766, 656, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(9109, 764, F9, 37) (dual of [764, 655, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(9108, 760, F9, 37) (dual of [760, 652, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(9115, 782, F9, 37) (dual of [782, 667, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(9113, 777, F9, 37) (dual of [777, 664, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(9112, 773, F9, 37) (dual of [773, 661, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(9110, 768, F9, 37) (dual of [768, 658, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(9108, 763, F9, 37) (dual of [763, 655, 38]-code) | [i] | ✔ | |
| 23 | Linear OA(9107, 759, F9, 37) (dual of [759, 652, 38]-code) | [i] | ✔ | |
| 24 | Linear OA(9116, 768, F9, 39) (dual of [768, 652, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(9115, 765, F9, 39) (dual of [765, 650, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(9114, 763, F9, 39) (dual of [763, 649, 40]-code) | [i] | ✔ | |
| 27 | Linear OA(9111, 772, F9, 37) (dual of [772, 661, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(9106, 758, F9, 37) (dual of [758, 652, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(9105, 754, F9, 37) (dual of [754, 649, 38]-code) | [i] | ✔ | |
| 30 | Linear OA(9121, 773, F9, 40) (dual of [773, 652, 41]-code) | [i] | ✔ | |
| 31 | Linear OA(9120, 770, F9, 40) (dual of [770, 650, 41]-code) | [i] | ✔ | |
| 32 | Linear OA(9119, 768, F9, 40) (dual of [768, 649, 41]-code) | [i] | ✔ | |
| 33 | Linear OA(9104, 752, F9, 37) (dual of [752, 648, 38]-code) | [i] | ✔ | |
| 34 | Linear OA(9103, 748, F9, 37) (dual of [748, 645, 38]-code) | [i] | ✔ | |
| 35 | Linear OA(9125, 777, F9, 41) (dual of [777, 652, 42]-code) | [i] | ✔ | |
| 36 | Linear OA(9124, 774, F9, 41) (dual of [774, 650, 42]-code) | [i] | ✔ | |
| 37 | Linear OA(9123, 772, F9, 41) (dual of [772, 649, 42]-code) | [i] | ✔ | |
| 38 | Linear OA(9118, 767, F9, 40) (dual of [767, 649, 41]-code) | [i] | ✔ | |
| 39 | Linear OA(9103, 749, F9, 37) (dual of [749, 646, 38]-code) | [i] | ✔ | |
| 40 | Linear OA(9102, 746, F9, 37) (dual of [746, 644, 38]-code) | [i] | ✔ | |
| 41 | Linear OA(9130, 782, F9, 42) (dual of [782, 652, 43]-code) | [i] | ✔ | |
| 42 | Linear OA(9129, 779, F9, 42) (dual of [779, 650, 43]-code) | [i] | ✔ | |
| 43 | Linear OA(9128, 777, F9, 42) (dual of [777, 649, 43]-code) | [i] | ✔ | |
| 44 | Linear OA(9122, 771, F9, 41) (dual of [771, 649, 42]-code) | [i] | ✔ | |
| 45 | Linear OA(9101, 744, F9, 37) (dual of [744, 643, 38]-code) | [i] | ✔ | |
| 46 | Linear OA(9100, 740, F9, 37) (dual of [740, 640, 38]-code) | [i] | ✔ | |
| 47 | Linear OA(9134, 786, F9, 43) (dual of [786, 652, 44]-code) | [i] | ✔ | |
| 48 | Linear OA(9133, 783, F9, 43) (dual of [783, 650, 44]-code) | [i] | ✔ | |
| 49 | Linear OA(9132, 781, F9, 43) (dual of [781, 649, 44]-code) | [i] | ✔ | |
| 50 | Linear OA(9127, 776, F9, 42) (dual of [776, 649, 43]-code) | [i] | ✔ | |
| 51 | Linear OA(9120, 766, F9, 41) (dual of [766, 646, 42]-code) | [i] | ✔ | |
| 52 | Linear OA(9140, 792, F9, 44) (dual of [792, 652, 45]-code) | [i] | ✔ | |
| 53 | Linear OA(9138, 787, F9, 44) (dual of [787, 649, 45]-code) | [i] | ✔ | |
| 54 | Linear OA(9131, 780, F9, 43) (dual of [780, 649, 44]-code) | [i] | ✔ | |
| 55 | Linear OA(9116, 754, F9, 41) (dual of [754, 638, 42]-code) | [i] | ✔ | |