Information on Result #615888
Linear OA(997, 730, F9, 37) (dual of [730, 633, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(996, 729, F9, 36) (dual of [729, 633, 37]-code) | [i] | Truncation | |
| 2 | Linear OA(998, 741, F9, 37) (dual of [741, 643, 38]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(999, 772, F9, 37) (dual of [772, 673, 38]-code) | [i] | ||
| 4 | Linear OA(9114, 748, F9, 37) (dual of [748, 634, 38]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(9104, 737, F9, 39) (dual of [737, 633, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(9100, 739, F9, 37) (dual of [739, 639, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(9112, 740, F9, 41) (dual of [740, 628, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(9113, 746, F9, 41) (dual of [746, 633, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(9111, 740, F9, 40) (dual of [740, 629, 41]-code) | [i] | ✔ | |
| 10 | Linear OA(9103, 746, F9, 37) (dual of [746, 643, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(9104, 749, F9, 37) (dual of [749, 645, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(9102, 746, F9, 36) (dual of [746, 644, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(9100, 740, F9, 35) (dual of [740, 640, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(9101, 746, F9, 35) (dual of [746, 645, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(999, 740, F9, 34) (dual of [740, 641, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(9122, 755, F9, 43) (dual of [755, 633, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(9107, 758, F9, 37) (dual of [758, 651, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(9104, 755, F9, 35) (dual of [755, 651, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(9133, 766, F9, 45) (dual of [766, 633, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(9131, 764, F9, 44) (dual of [764, 633, 45]-code) | [i] | ✔ | |
| 21 | Linear OA(9112, 769, F9, 37) (dual of [769, 657, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(9110, 762, F9, 36) (dual of [762, 652, 37]-code) | [i] | ✔ | |
| 23 | Linear OA(9108, 760, F9, 35) (dual of [760, 652, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(9109, 766, F9, 35) (dual of [766, 657, 36]-code) | [i] | ✔ | |
| 25 | Linear OA(9106, 758, F9, 34) (dual of [758, 652, 35]-code) | [i] | ✔ | |
| 26 | Linear OA(9107, 764, F9, 34) (dual of [764, 657, 35]-code) | [i] | ✔ | |
| 27 | Linear OA(9143, 776, F9, 47) (dual of [776, 633, 48]-code) | [i] | ✔ | |
| 28 | Linear OA(9115, 778, F9, 37) (dual of [778, 663, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(9113, 771, F9, 36) (dual of [771, 658, 37]-code) | [i] | ✔ | |
| 30 | Linear OA(9111, 771, F9, 34) (dual of [771, 660, 35]-code) | [i] | ✔ | |
| 31 | Linear OA(9119, 788, F9, 37) (dual of [788, 669, 38]-code) | [i] | ✔ | |
| 32 | Linear OA(9117, 786, F9, 36) (dual of [786, 669, 37]-code) | [i] | ✔ | |
| 33 | Linear OA(9115, 784, F9, 35) (dual of [784, 669, 36]-code) | [i] | ✔ | |
| 34 | Linear OA(9132, 762, F9, 45) (dual of [762, 630, 46]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 35 | Linear OA(9131, 760, F9, 45) (dual of [760, 629, 46]-code) | [i] | ✔ | |
| 36 | Linear OA(9130, 758, F9, 45) (dual of [758, 628, 46]-code) | [i] | ✔ | |
| 37 | Linear OA(9121, 749, F9, 43) (dual of [749, 628, 44]-code) | [i] | ✔ | |
| 38 | Linear OA(9129, 766, F9, 43) (dual of [766, 637, 44]-code) | [i] | ✔ | |
| 39 | Linear OA(9128, 764, F9, 43) (dual of [764, 636, 44]-code) | [i] | ✔ | |
| 40 | Linear OA(9127, 762, F9, 43) (dual of [762, 635, 44]-code) | [i] | ✔ | |
| 41 | Linear OA(9126, 760, F9, 43) (dual of [760, 634, 44]-code) | [i] | ✔ | |
| 42 | Linear OA(9118, 753, F9, 41) (dual of [753, 635, 42]-code) | [i] | ✔ | |
| 43 | Linear OA(9117, 751, F9, 41) (dual of [751, 634, 42]-code) | [i] | ✔ | |
| 44 | Linear OA(9108, 742, F9, 39) (dual of [742, 634, 40]-code) | [i] | ✔ | |
| 45 | Linear OA(9102, 742, F9, 37) (dual of [742, 640, 38]-code) | [i] | ✔ | |
| 46 | Linear OA(9106, 752, F9, 37) (dual of [752, 646, 38]-code) | [i] | ✔ | |
| 47 | Linear OA(9103, 749, F9, 35) (dual of [749, 646, 36]-code) | [i] | ✔ | |
| 48 | Linear OA(9108, 762, F9, 35) (dual of [762, 654, 36]-code) | [i] | ✔ | |
| 49 | Linear OA(9110, 763, F9, 36) (dual of [763, 653, 37]-code) | [i] | ✔ | |
| 50 | Linear OA(9107, 760, F9, 35) (dual of [760, 653, 36]-code) | [i] | ✔ | |
| 51 | Linear OA(9110, 762, F9, 37) (dual of [762, 652, 38]-code) | [i] | ✔ | |
| 52 | Linear OA(9108, 760, F9, 36) (dual of [760, 652, 37]-code) | [i] | ✔ | |
| 53 | Linear OA(9106, 758, F9, 35) (dual of [758, 652, 36]-code) | [i] | ✔ | |
| 54 | Linear OOA(997, 365, F9, 2, 37) (dual of [(365, 2), 633, 38]-NRT-code) | [i] | OOA Folding | |