Information on Result #615564
Linear OA(981, large, F9, 12) (dual of [large, large−81, 13]-code), using the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(981, large, F9, 11) (dual of [large, large−81, 12]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(981, large, F9, 10) (dual of [large, large−81, 11]-code) | [i] | ||
| 3 | Linear OA(981, large, F9, 9) (dual of [large, large−81, 10]-code) | [i] | ||
| 4 | Linear OA(981, large, F9, 8) (dual of [large, large−81, 9]-code) | [i] | ||
| 5 | Linear OA(981, large, F9, 7) (dual of [large, large−81, 8]-code) | [i] | ||
| 6 | Linear OA(981, large, F9, 6) (dual of [large, large−81, 7]-code) | [i] | ||
| 7 | Linear OA(981, large, F9, 5) (dual of [large, large−81, 6]-code) | [i] | ||
| 8 | Linear OA(981, large, F9, 4) (dual of [large, large−81, 5]-code) | [i] | ||
| 9 | Linear OA(981, large, F9, 3) (dual of [large, large−81, 4]-code) | [i] | ||
| 10 | Linear OA(982, large, F9, 12) (dual of [large, large−82, 13]-code) | [i] | Code Embedding in Larger Space | |
| 11 | Linear OA(983, large, F9, 12) (dual of [large, large−83, 13]-code) | [i] | ||
| 12 | Linear OA(984, large, F9, 12) (dual of [large, large−84, 13]-code) | [i] | ||
| 13 | Linear OA(985, large, F9, 12) (dual of [large, large−85, 13]-code) | [i] | ||
| 14 | Linear OA(986, large, F9, 12) (dual of [large, large−86, 13]-code) | [i] | ||
| 15 | Linear OA(987, large, F9, 12) (dual of [large, large−87, 13]-code) | [i] | ||
| 16 | Linear OA(988, large, F9, 12) (dual of [large, large−88, 13]-code) | [i] | ||
| 17 | Linear OA(990, large, F9, 12) (dual of [large, large−90, 13]-code) | [i] | ||
| 18 | Linear OA(991, large, F9, 12) (dual of [large, large−91, 13]-code) | [i] | ||
| 19 | Linear OA(992, large, F9, 12) (dual of [large, large−92, 13]-code) | [i] | ||
| 20 | Linear OA(993, large, F9, 12) (dual of [large, large−93, 13]-code) | [i] | ||
| 21 | Linear OA(994, large, F9, 12) (dual of [large, large−94, 13]-code) | [i] | ||
| 22 | Linear OA(995, large, F9, 12) (dual of [large, large−95, 13]-code) | [i] | ||
| 23 | Linear OA(996, large, F9, 12) (dual of [large, large−96, 13]-code) | [i] | ||
| 24 | Linear OA(998, large, F9, 12) (dual of [large, large−98, 13]-code) | [i] | ||
| 25 | Linear OA(999, large, F9, 12) (dual of [large, large−99, 13]-code) | [i] | ||
| 26 | Linear OA(9100, large, F9, 12) (dual of [large, large−100, 13]-code) | [i] | ||
| 27 | Linear OA(9101, large, F9, 12) (dual of [large, large−101, 13]-code) | [i] | ||
| 28 | Linear OA(9102, large, F9, 12) (dual of [large, large−102, 13]-code) | [i] | ||
| 29 | Linear OA(9103, large, F9, 12) (dual of [large, large−103, 13]-code) | [i] | ||
| 30 | Linear OA(9104, large, F9, 12) (dual of [large, large−104, 13]-code) | [i] | ||
| 31 | Linear OA(9106, large, F9, 12) (dual of [large, large−106, 13]-code) | [i] | ||
| 32 | Linear OA(9107, large, F9, 12) (dual of [large, large−107, 13]-code) | [i] | ||
| 33 | Linear OA(9108, large, F9, 12) (dual of [large, large−108, 13]-code) | [i] | ||
| 34 | Linear OA(9109, large, F9, 12) (dual of [large, large−109, 13]-code) | [i] | ||
| 35 | Linear OA(9110, large, F9, 12) (dual of [large, large−110, 13]-code) | [i] | ||
| 36 | Linear OA(9111, large, F9, 12) (dual of [large, large−111, 13]-code) | [i] | ||
| 37 | Linear OA(9112, large, F9, 12) (dual of [large, large−112, 13]-code) | [i] | ||
| 38 | Linear OA(9114, large, F9, 12) (dual of [large, large−114, 13]-code) | [i] | ||
| 39 | Linear OA(9115, large, F9, 12) (dual of [large, large−115, 13]-code) | [i] | ||
| 40 | Linear OA(9116, large, F9, 12) (dual of [large, large−116, 13]-code) | [i] | ||
| 41 | Linear OA(9117, large, F9, 12) (dual of [large, large−117, 13]-code) | [i] | ||
| 42 | Linear OA(9118, large, F9, 12) (dual of [large, large−118, 13]-code) | [i] | ||
| 43 | Linear OA(9119, large, F9, 12) (dual of [large, large−119, 13]-code) | [i] | ||
| 44 | Linear OA(9120, large, F9, 12) (dual of [large, large−120, 13]-code) | [i] | ||
| 45 | Linear OA(9122, large, F9, 12) (dual of [large, large−122, 13]-code) | [i] | ||
| 46 | Linear OA(9123, large, F9, 12) (dual of [large, large−123, 13]-code) | [i] | ||
| 47 | Linear OA(9124, large, F9, 12) (dual of [large, large−124, 13]-code) | [i] | ||
| 48 | Linear OA(9125, large, F9, 12) (dual of [large, large−125, 13]-code) | [i] | ||
| 49 | Linear OA(9126, large, F9, 12) (dual of [large, large−126, 13]-code) | [i] | ||
| 50 | Linear OA(9127, large, F9, 12) (dual of [large, large−127, 13]-code) | [i] | ||
| 51 | Linear OA(9130, large, F9, 12) (dual of [large, large−130, 13]-code) | [i] | ||
| 52 | Linear OA(9131, large, F9, 12) (dual of [large, large−131, 13]-code) | [i] | ||
| 53 | Linear OA(9132, large, F9, 12) (dual of [large, large−132, 13]-code) | [i] | ||
| 54 | Linear OA(9133, large, F9, 12) (dual of [large, large−133, 13]-code) | [i] | ||
| 55 | Linear OA(9134, large, F9, 12) (dual of [large, large−134, 13]-code) | [i] | ||
| 56 | Linear OA(9135, large, F9, 12) (dual of [large, large−135, 13]-code) | [i] | ||
| 57 | Linear OA(9136, large, F9, 12) (dual of [large, large−136, 13]-code) | [i] | ||
| 58 | Linear OA(9138, large, F9, 12) (dual of [large, large−138, 13]-code) | [i] | ||
| 59 | Linear OA(9139, large, F9, 12) (dual of [large, large−139, 13]-code) | [i] | ||
| 60 | Linear OA(9140, large, F9, 12) (dual of [large, large−140, 13]-code) | [i] | ||
| 61 | Linear OA(9141, large, F9, 12) (dual of [large, large−141, 13]-code) | [i] | ||
| 62 | Linear OA(9142, large, F9, 12) (dual of [large, large−142, 13]-code) | [i] | ||
| 63 | Linear OA(9143, large, F9, 12) (dual of [large, large−143, 13]-code) | [i] | ||
| 64 | Linear OA(9144, large, F9, 12) (dual of [large, large−144, 13]-code) | [i] | ||
| 65 | Linear OA(9146, large, F9, 12) (dual of [large, large−146, 13]-code) | [i] | ||
| 66 | Linear OA(9147, large, F9, 12) (dual of [large, large−147, 13]-code) | [i] | ||
| 67 | Linear OA(9148, large, F9, 12) (dual of [large, large−148, 13]-code) | [i] | ||
| 68 | Linear OA(9149, large, F9, 12) (dual of [large, large−149, 13]-code) | [i] | ||
| 69 | Linear OA(9150, large, F9, 12) (dual of [large, large−150, 13]-code) | [i] | ||
| 70 | Linear OOA(981, large, F9, 2, 12) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 71 | Linear OOA(981, large, F9, 3, 12) | [i] | ||
| 72 | Digital (69, 81, large)-net over F9 | [i] | ||
| 73 | Linear OOA(981, 4194301, F9, 2, 12) (dual of [(4194301, 2), 8388521, 13]-NRT-code) | [i] | OOA Folding | |
| 74 | Linear OOA(981, 2796201, F9, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code) | [i] | ||
| 75 | Linear OOA(981, 1398100, F9, 12, 12) (dual of [(1398100, 12), 16777119, 13]-NRT-code) | [i] | OA Folding and Stacking | |