Information on Result #689893
Linear OA(985, 730, F9, 31) (dual of [730, 645, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound)
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(992, 737, F9, 33) (dual of [737, 645, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(986, 737, F9, 31) (dual of [737, 651, 32]-code) | [i] | ✔ | |
| 3 | Linear OA(9103, 746, F9, 37) (dual of [746, 643, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(9104, 749, F9, 37) (dual of [749, 645, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(9102, 746, F9, 36) (dual of [746, 644, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(9100, 740, F9, 35) (dual of [740, 640, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(9101, 746, F9, 35) (dual of [746, 645, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(999, 740, F9, 34) (dual of [740, 641, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(988, 740, F9, 31) (dual of [740, 652, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(989, 746, F9, 31) (dual of [746, 657, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(987, 740, F9, 30) (dual of [740, 653, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(9113, 758, F9, 39) (dual of [758, 645, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(992, 755, F9, 31) (dual of [755, 663, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(9124, 769, F9, 41) (dual of [769, 645, 42]-code) | [i] | ✔ | |
| 15 | Linear OA(9122, 762, F9, 40) (dual of [762, 640, 41]-code) | [i] | ✔ | |
| 16 | Linear OA(996, 760, F9, 31) (dual of [760, 664, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(997, 766, F9, 31) (dual of [766, 669, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(994, 758, F9, 30) (dual of [758, 664, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(995, 764, F9, 30) (dual of [764, 669, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(9133, 778, F9, 43) (dual of [778, 645, 44]-code) | [i] | ✔ | |
| 21 | Linear OA(9131, 771, F9, 42) (dual of [771, 640, 43]-code) | [i] | ✔ | |
| 22 | Linear OA(9100, 770, F9, 31) (dual of [770, 670, 32]-code) | [i] | ✔ | |
| 23 | Linear OA(9101, 776, F9, 31) (dual of [776, 675, 32]-code) | [i] | ✔ | |
| 24 | Linear OA(999, 771, F9, 30) (dual of [771, 672, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(9143, 788, F9, 45) (dual of [788, 645, 46]-code) | [i] | ✔ | |
| 26 | Linear OA(9141, 786, F9, 44) (dual of [786, 645, 45]-code) | [i] | ✔ | |
| 27 | Linear OA(9103, 784, F9, 31) (dual of [784, 681, 32]-code) | [i] | ✔ | |
| 28 | Linear OA(9122, 763, F9, 40) (dual of [763, 641, 41]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 29 | Linear OA(9122, 762, F9, 41) (dual of [762, 640, 42]-code) | [i] | ✔ | |
| 30 | Linear OA(9120, 760, F9, 40) (dual of [760, 640, 41]-code) | [i] | ✔ | |
| 31 | Linear OA(9112, 752, F9, 39) (dual of [752, 640, 40]-code) | [i] | ✔ | |
| 32 | Linear OA(9116, 763, F9, 38) (dual of [763, 647, 39]-code) | [i] | ✔ | |
| 33 | Linear OA(9116, 762, F9, 39) (dual of [762, 646, 40]-code) | [i] | ✔ | |
| 34 | Linear OA(9114, 760, F9, 38) (dual of [760, 646, 39]-code) | [i] | ✔ | |
| 35 | Linear OA(9102, 742, F9, 37) (dual of [742, 640, 38]-code) | [i] | ✔ | |
| 36 | Linear OA(9106, 752, F9, 37) (dual of [752, 646, 38]-code) | [i] | ✔ | |
| 37 | Linear OA(9103, 749, F9, 35) (dual of [749, 646, 36]-code) | [i] | ✔ | |
| 38 | Linear OA(991, 749, F9, 31) (dual of [749, 658, 32]-code) | [i] | ✔ | |
| 39 | Linear OA(996, 762, F9, 31) (dual of [762, 666, 32]-code) | [i] | ✔ | |
| 40 | Linear OA(995, 760, F9, 31) (dual of [760, 665, 32]-code) | [i] | ✔ | |
| 41 | Linear OA(994, 758, F9, 31) (dual of [758, 664, 32]-code) | [i] | ✔ | |