Information on Result #614887
Linear OA(889, large, F8, 13) (dual of [large, large−89, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14
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(889, large, F8, 12) (dual of [large, large−89, 13]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(889, large, F8, 11) (dual of [large, large−89, 12]-code) | [i] | ||
| 3 | Linear OA(889, large, F8, 10) (dual of [large, large−89, 11]-code) | [i] | ||
| 4 | Linear OA(889, large, F8, 9) (dual of [large, large−89, 10]-code) | [i] | ||
| 5 | Linear OA(889, large, F8, 8) (dual of [large, large−89, 9]-code) | [i] | ||
| 6 | Linear OA(889, large, F8, 7) (dual of [large, large−89, 8]-code) | [i] | ||
| 7 | Linear OA(889, large, F8, 6) (dual of [large, large−89, 7]-code) | [i] | ||
| 8 | Linear OA(889, large, F8, 5) (dual of [large, large−89, 6]-code) | [i] | ||
| 9 | Linear OA(889, large, F8, 4) (dual of [large, large−89, 5]-code) | [i] | ||
| 10 | Linear OA(889, large, F8, 3) (dual of [large, large−89, 4]-code) | [i] | ||
| 11 | Linear OA(890, large, F8, 13) (dual of [large, large−90, 14]-code) | [i] | Code Embedding in Larger Space | |
| 12 | Linear OA(891, large, F8, 13) (dual of [large, large−91, 14]-code) | [i] | ||
| 13 | Linear OA(892, large, F8, 13) (dual of [large, large−92, 14]-code) | [i] | ||
| 14 | Linear OA(893, large, F8, 13) (dual of [large, large−93, 14]-code) | [i] | ||
| 15 | Linear OA(894, large, F8, 13) (dual of [large, large−94, 14]-code) | [i] | ||
| 16 | Linear OA(895, large, F8, 13) (dual of [large, large−95, 14]-code) | [i] | ||
| 17 | Linear OA(896, large, F8, 13) (dual of [large, large−96, 14]-code) | [i] | ||
| 18 | Linear OA(898, large, F8, 13) (dual of [large, large−98, 14]-code) | [i] | ||
| 19 | Linear OA(899, large, F8, 13) (dual of [large, large−99, 14]-code) | [i] | ||
| 20 | Linear OA(8100, large, F8, 13) (dual of [large, large−100, 14]-code) | [i] | ||
| 21 | Linear OA(8101, large, F8, 13) (dual of [large, large−101, 14]-code) | [i] | ||
| 22 | Linear OA(8102, large, F8, 13) (dual of [large, large−102, 14]-code) | [i] | ||
| 23 | Linear OA(8103, large, F8, 13) (dual of [large, large−103, 14]-code) | [i] | ||
| 24 | Linear OA(8104, large, F8, 13) (dual of [large, large−104, 14]-code) | [i] | ||
| 25 | Linear OA(8106, large, F8, 13) (dual of [large, large−106, 14]-code) | [i] | ||
| 26 | Linear OA(8107, large, F8, 13) (dual of [large, large−107, 14]-code) | [i] | ||
| 27 | Linear OA(8108, large, F8, 13) (dual of [large, large−108, 14]-code) | [i] | ||
| 28 | Linear OA(8109, large, F8, 13) (dual of [large, large−109, 14]-code) | [i] | ||
| 29 | Linear OA(8110, large, F8, 13) (dual of [large, large−110, 14]-code) | [i] | ||
| 30 | Linear OA(8111, large, F8, 13) (dual of [large, large−111, 14]-code) | [i] | ||
| 31 | Linear OA(8114, large, F8, 13) (dual of [large, large−114, 14]-code) | [i] | ||
| 32 | Linear OA(8115, large, F8, 13) (dual of [large, large−115, 14]-code) | [i] | ||
| 33 | Linear OA(8116, large, F8, 13) (dual of [large, large−116, 14]-code) | [i] | ||
| 34 | Linear OA(8117, large, F8, 13) (dual of [large, large−117, 14]-code) | [i] | ||
| 35 | Linear OA(8118, large, F8, 13) (dual of [large, large−118, 14]-code) | [i] | ||
| 36 | Linear OA(8119, large, F8, 13) (dual of [large, large−119, 14]-code) | [i] | ||
| 37 | Linear OA(8120, large, F8, 13) (dual of [large, large−120, 14]-code) | [i] | ||
| 38 | Linear OA(8122, large, F8, 13) (dual of [large, large−122, 14]-code) | [i] | ||
| 39 | Linear OA(8123, large, F8, 13) (dual of [large, large−123, 14]-code) | [i] | ||
| 40 | Linear OA(8124, large, F8, 13) (dual of [large, large−124, 14]-code) | [i] | ||
| 41 | Linear OA(8125, large, F8, 13) (dual of [large, large−125, 14]-code) | [i] | ||
| 42 | Linear OA(8126, large, F8, 13) (dual of [large, large−126, 14]-code) | [i] | ||
| 43 | Linear OA(8127, large, F8, 13) (dual of [large, large−127, 14]-code) | [i] | ||
| 44 | Linear OA(8128, large, F8, 13) (dual of [large, large−128, 14]-code) | [i] | ||
| 45 | Linear OA(8130, large, F8, 13) (dual of [large, large−130, 14]-code) | [i] | ||
| 46 | Linear OA(8131, large, F8, 13) (dual of [large, large−131, 14]-code) | [i] | ||
| 47 | Linear OA(8132, large, F8, 13) (dual of [large, large−132, 14]-code) | [i] | ||
| 48 | Linear OA(8133, large, F8, 13) (dual of [large, large−133, 14]-code) | [i] | ||
| 49 | Linear OA(8134, large, F8, 13) (dual of [large, large−134, 14]-code) | [i] | ||
| 50 | Linear OA(8135, large, F8, 13) (dual of [large, large−135, 14]-code) | [i] | ||
| 51 | Linear OA(8136, large, F8, 13) (dual of [large, large−136, 14]-code) | [i] | ||
| 52 | Linear OA(8138, large, F8, 13) (dual of [large, large−138, 14]-code) | [i] | ||
| 53 | Linear OA(8139, large, F8, 13) (dual of [large, large−139, 14]-code) | [i] | ||
| 54 | Linear OA(8140, large, F8, 13) (dual of [large, large−140, 14]-code) | [i] | ||
| 55 | Linear OA(8141, large, F8, 13) (dual of [large, large−141, 14]-code) | [i] | ||
| 56 | Linear OA(8142, large, F8, 13) (dual of [large, large−142, 14]-code) | [i] | ||
| 57 | Linear OA(8143, large, F8, 13) (dual of [large, large−143, 14]-code) | [i] | ||
| 58 | Linear OA(8144, large, F8, 13) (dual of [large, large−144, 14]-code) | [i] | ||
| 59 | Linear OA(8146, large, F8, 13) (dual of [large, large−146, 14]-code) | [i] | ||
| 60 | Linear OA(8147, large, F8, 13) (dual of [large, large−147, 14]-code) | [i] | ||
| 61 | Linear OA(8148, large, F8, 13) (dual of [large, large−148, 14]-code) | [i] | ||
| 62 | Linear OA(8149, large, F8, 13) (dual of [large, large−149, 14]-code) | [i] | ||
| 63 | Linear OA(8150, large, F8, 13) (dual of [large, large−150, 14]-code) | [i] | ||
| 64 | Linear OA(8151, large, F8, 13) (dual of [large, large−151, 14]-code) | [i] | ||
| 65 | Linear OA(8152, large, F8, 13) (dual of [large, large−152, 14]-code) | [i] | ||
| 66 | Linear OA(8154, large, F8, 13) (dual of [large, large−154, 14]-code) | [i] | ||
| 67 | Linear OA(8155, large, F8, 13) (dual of [large, large−155, 14]-code) | [i] | ||
| 68 | Linear OA(8156, large, F8, 13) (dual of [large, large−156, 14]-code) | [i] | ||
| 69 | Linear OA(8157, large, F8, 13) (dual of [large, large−157, 14]-code) | [i] | ||
| 70 | Linear OA(8158, large, F8, 13) (dual of [large, large−158, 14]-code) | [i] | ||
| 71 | Linear OA(8159, large, F8, 13) (dual of [large, large−159, 14]-code) | [i] | ||
| 72 | Linear OA(8160, large, F8, 13) (dual of [large, large−160, 14]-code) | [i] | ||
| 73 | Linear OA(8162, large, F8, 13) (dual of [large, large−162, 14]-code) | [i] | ||
| 74 | Linear OA(8163, large, F8, 13) (dual of [large, large−163, 14]-code) | [i] | ||
| 75 | Linear OA(8164, large, F8, 13) (dual of [large, large−164, 14]-code) | [i] | ||
| 76 | Linear OA(8165, large, F8, 13) (dual of [large, large−165, 14]-code) | [i] | ||
| 77 | Linear OA(8166, large, F8, 13) (dual of [large, large−166, 14]-code) | [i] | ||
| 78 | Linear OA(8167, large, F8, 13) (dual of [large, large−167, 14]-code) | [i] | ||
| 79 | Linear OA(8170, large, F8, 13) (dual of [large, large−170, 14]-code) | [i] | ||
| 80 | Linear OA(8171, large, F8, 13) (dual of [large, large−171, 14]-code) | [i] | ||
| 81 | Linear OA(8172, large, F8, 13) (dual of [large, large−172, 14]-code) | [i] | ||
| 82 | Linear OA(8173, large, F8, 13) (dual of [large, large−173, 14]-code) | [i] | ||
| 83 | Linear OOA(889, large, F8, 2, 13) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 84 | Linear OOA(889, large, F8, 3, 13) | [i] | ||
| 85 | Digital (76, 89, large)-net over F8 | [i] | ||
| 86 | Linear OOA(889, 4194301, F8, 2, 13) (dual of [(4194301, 2), 8388513, 14]-NRT-code) | [i] | OOA Folding | |
| 87 | Linear OOA(889, 2796201, F8, 3, 13) (dual of [(2796201, 3), 8388514, 14]-NRT-code) | [i] | ||
| 88 | Linear OOA(889, 1398100, F8, 13, 13) (dual of [(1398100, 13), 18175211, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |