Information on Result #614849
Linear OA(857, large, F8, 9) (dual of [large, large−57, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10
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(857, large, F8, 8) (dual of [large, large−57, 9]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(857, large, F8, 7) (dual of [large, large−57, 8]-code) | [i] | ||
| 3 | Linear OA(857, large, F8, 6) (dual of [large, large−57, 7]-code) | [i] | ||
| 4 | Linear OA(857, large, F8, 5) (dual of [large, large−57, 6]-code) | [i] | ||
| 5 | Linear OA(857, large, F8, 4) (dual of [large, large−57, 5]-code) | [i] | ||
| 6 | Linear OA(857, large, F8, 3) (dual of [large, large−57, 4]-code) | [i] | ||
| 7 | Linear OA(858, large, F8, 9) (dual of [large, large−58, 10]-code) | [i] | Code Embedding in Larger Space | |
| 8 | Linear OA(859, large, F8, 9) (dual of [large, large−59, 10]-code) | [i] | ||
| 9 | Linear OA(860, large, F8, 9) (dual of [large, large−60, 10]-code) | [i] | ||
| 10 | Linear OA(861, large, F8, 9) (dual of [large, large−61, 10]-code) | [i] | ||
| 11 | Linear OA(862, large, F8, 9) (dual of [large, large−62, 10]-code) | [i] | ||
| 12 | Linear OA(863, large, F8, 9) (dual of [large, large−63, 10]-code) | [i] | ||
| 13 | Linear OA(864, large, F8, 9) (dual of [large, large−64, 10]-code) | [i] | ||
| 14 | Linear OA(866, large, F8, 9) (dual of [large, large−66, 10]-code) | [i] | ||
| 15 | Linear OA(867, large, F8, 9) (dual of [large, large−67, 10]-code) | [i] | ||
| 16 | Linear OA(868, large, F8, 9) (dual of [large, large−68, 10]-code) | [i] | ||
| 17 | Linear OA(869, large, F8, 9) (dual of [large, large−69, 10]-code) | [i] | ||
| 18 | Linear OA(870, large, F8, 9) (dual of [large, large−70, 10]-code) | [i] | ||
| 19 | Linear OA(871, large, F8, 9) (dual of [large, large−71, 10]-code) | [i] | ||
| 20 | Linear OA(872, large, F8, 9) (dual of [large, large−72, 10]-code) | [i] | ||
| 21 | Linear OA(874, large, F8, 9) (dual of [large, large−74, 10]-code) | [i] | ||
| 22 | Linear OA(875, large, F8, 9) (dual of [large, large−75, 10]-code) | [i] | ||
| 23 | Linear OA(876, large, F8, 9) (dual of [large, large−76, 10]-code) | [i] | ||
| 24 | Linear OA(877, large, F8, 9) (dual of [large, large−77, 10]-code) | [i] | ||
| 25 | Linear OA(878, large, F8, 9) (dual of [large, large−78, 10]-code) | [i] | ||
| 26 | Linear OA(879, large, F8, 9) (dual of [large, large−79, 10]-code) | [i] | ||
| 27 | Linear OA(880, large, F8, 9) (dual of [large, large−80, 10]-code) | [i] | ||
| 28 | Linear OA(882, large, F8, 9) (dual of [large, large−82, 10]-code) | [i] | ||
| 29 | Linear OA(883, large, F8, 9) (dual of [large, large−83, 10]-code) | [i] | ||
| 30 | Linear OA(884, large, F8, 9) (dual of [large, large−84, 10]-code) | [i] | ||
| 31 | Linear OA(885, large, F8, 9) (dual of [large, large−85, 10]-code) | [i] | ||
| 32 | Linear OA(886, large, F8, 9) (dual of [large, large−86, 10]-code) | [i] | ||
| 33 | Linear OA(887, large, F8, 9) (dual of [large, large−87, 10]-code) | [i] | ||
| 34 | Linear OA(888, large, F8, 9) (dual of [large, large−88, 10]-code) | [i] | ||
| 35 | Linear OA(890, large, F8, 9) (dual of [large, large−90, 10]-code) | [i] | ||
| 36 | Linear OA(891, large, F8, 9) (dual of [large, large−91, 10]-code) | [i] | ||
| 37 | Linear OA(892, large, F8, 9) (dual of [large, large−92, 10]-code) | [i] | ||
| 38 | Linear OA(893, large, F8, 9) (dual of [large, large−93, 10]-code) | [i] | ||
| 39 | Linear OA(894, large, F8, 9) (dual of [large, large−94, 10]-code) | [i] | ||
| 40 | Linear OA(895, large, F8, 9) (dual of [large, large−95, 10]-code) | [i] | ||
| 41 | Linear OA(896, large, F8, 9) (dual of [large, large−96, 10]-code) | [i] | ||
| 42 | Linear OA(898, large, F8, 9) (dual of [large, large−98, 10]-code) | [i] | ||
| 43 | Linear OA(899, large, F8, 9) (dual of [large, large−99, 10]-code) | [i] | ||
| 44 | Linear OA(8100, large, F8, 9) (dual of [large, large−100, 10]-code) | [i] | ||
| 45 | Linear OA(8101, large, F8, 9) (dual of [large, large−101, 10]-code) | [i] | ||
| 46 | Linear OA(8102, large, F8, 9) (dual of [large, large−102, 10]-code) | [i] | ||
| 47 | Linear OA(8103, large, F8, 9) (dual of [large, large−103, 10]-code) | [i] | ||
| 48 | Linear OA(8104, large, F8, 9) (dual of [large, large−104, 10]-code) | [i] | ||
| 49 | Linear OA(8106, large, F8, 9) (dual of [large, large−106, 10]-code) | [i] | ||
| 50 | Linear OA(8107, large, F8, 9) (dual of [large, large−107, 10]-code) | [i] | ||
| 51 | Linear OA(8108, large, F8, 9) (dual of [large, large−108, 10]-code) | [i] | ||
| 52 | Linear OA(8109, large, F8, 9) (dual of [large, large−109, 10]-code) | [i] | ||
| 53 | Linear OA(8110, large, F8, 9) (dual of [large, large−110, 10]-code) | [i] | ||
| 54 | Linear OA(8111, large, F8, 9) (dual of [large, large−111, 10]-code) | [i] | ||
| 55 | Linear OA(8114, large, F8, 9) (dual of [large, large−114, 10]-code) | [i] | ||
| 56 | Linear OA(8115, large, F8, 9) (dual of [large, large−115, 10]-code) | [i] | ||
| 57 | Linear OA(8116, large, F8, 9) (dual of [large, large−116, 10]-code) | [i] | ||
| 58 | Linear OA(8117, large, F8, 9) (dual of [large, large−117, 10]-code) | [i] | ||
| 59 | Linear OA(8118, large, F8, 9) (dual of [large, large−118, 10]-code) | [i] | ||
| 60 | Linear OA(8119, large, F8, 9) (dual of [large, large−119, 10]-code) | [i] | ||
| 61 | Linear OA(8120, large, F8, 9) (dual of [large, large−120, 10]-code) | [i] | ||
| 62 | Linear OA(8122, large, F8, 9) (dual of [large, large−122, 10]-code) | [i] | ||
| 63 | Linear OA(8123, large, F8, 9) (dual of [large, large−123, 10]-code) | [i] | ||
| 64 | Linear OA(8124, large, F8, 9) (dual of [large, large−124, 10]-code) | [i] | ||
| 65 | Linear OA(8125, large, F8, 9) (dual of [large, large−125, 10]-code) | [i] | ||
| 66 | Linear OA(8126, large, F8, 9) (dual of [large, large−126, 10]-code) | [i] | ||
| 67 | Linear OA(8127, large, F8, 9) (dual of [large, large−127, 10]-code) | [i] | ||
| 68 | Linear OA(8128, large, F8, 9) (dual of [large, large−128, 10]-code) | [i] | ||
| 69 | Linear OA(8130, large, F8, 9) (dual of [large, large−130, 10]-code) | [i] | ||
| 70 | Linear OA(8131, large, F8, 9) (dual of [large, large−131, 10]-code) | [i] | ||
| 71 | Linear OA(8132, large, F8, 9) (dual of [large, large−132, 10]-code) | [i] | ||
| 72 | Linear OA(8133, large, F8, 9) (dual of [large, large−133, 10]-code) | [i] | ||
| 73 | Linear OA(8134, large, F8, 9) (dual of [large, large−134, 10]-code) | [i] | ||
| 74 | Linear OA(8135, large, F8, 9) (dual of [large, large−135, 10]-code) | [i] | ||
| 75 | Linear OA(8136, large, F8, 9) (dual of [large, large−136, 10]-code) | [i] | ||
| 76 | Linear OA(8138, large, F8, 9) (dual of [large, large−138, 10]-code) | [i] | ||
| 77 | Linear OA(8139, large, F8, 9) (dual of [large, large−139, 10]-code) | [i] | ||
| 78 | Linear OA(8140, large, F8, 9) (dual of [large, large−140, 10]-code) | [i] | ||
| 79 | Linear OA(8141, large, F8, 9) (dual of [large, large−141, 10]-code) | [i] | ||
| 80 | Linear OA(8142, large, F8, 9) (dual of [large, large−142, 10]-code) | [i] | ||
| 81 | Linear OA(8143, large, F8, 9) (dual of [large, large−143, 10]-code) | [i] | ||
| 82 | Linear OA(8144, large, F8, 9) (dual of [large, large−144, 10]-code) | [i] | ||
| 83 | Linear OA(8146, large, F8, 9) (dual of [large, large−146, 10]-code) | [i] | ||
| 84 | Linear OA(8147, large, F8, 9) (dual of [large, large−147, 10]-code) | [i] | ||
| 85 | Linear OA(8148, large, F8, 9) (dual of [large, large−148, 10]-code) | [i] | ||
| 86 | Linear OA(8149, large, F8, 9) (dual of [large, large−149, 10]-code) | [i] | ||
| 87 | Linear OA(8150, large, F8, 9) (dual of [large, large−150, 10]-code) | [i] | ||
| 88 | Linear OA(8151, large, F8, 9) (dual of [large, large−151, 10]-code) | [i] | ||
| 89 | Linear OA(8152, large, F8, 9) (dual of [large, large−152, 10]-code) | [i] | ||
| 90 | Linear OA(8154, large, F8, 9) (dual of [large, large−154, 10]-code) | [i] | ||
| 91 | Linear OA(8155, large, F8, 9) (dual of [large, large−155, 10]-code) | [i] | ||
| 92 | Linear OA(8156, large, F8, 9) (dual of [large, large−156, 10]-code) | [i] | ||
| 93 | Linear OA(8157, large, F8, 9) (dual of [large, large−157, 10]-code) | [i] | ||
| 94 | Linear OA(8158, large, F8, 9) (dual of [large, large−158, 10]-code) | [i] | ||
| 95 | Linear OA(8159, large, F8, 9) (dual of [large, large−159, 10]-code) | [i] | ||
| 96 | Linear OA(8160, large, F8, 9) (dual of [large, large−160, 10]-code) | [i] | ||
| 97 | Linear OA(8162, large, F8, 9) (dual of [large, large−162, 10]-code) | [i] | ||
| 98 | Linear OA(8163, large, F8, 9) (dual of [large, large−163, 10]-code) | [i] | ||
| 99 | Linear OA(8164, large, F8, 9) (dual of [large, large−164, 10]-code) | [i] | ||
| 100 | Linear OA(8165, large, F8, 9) (dual of [large, large−165, 10]-code) | [i] | ||
| 101 | Linear OA(8166, large, F8, 9) (dual of [large, large−166, 10]-code) | [i] | ||
| 102 | Linear OA(8167, large, F8, 9) (dual of [large, large−167, 10]-code) | [i] | ||
| 103 | Linear OA(8170, large, F8, 9) (dual of [large, large−170, 10]-code) | [i] | ||
| 104 | Linear OA(8171, large, F8, 9) (dual of [large, large−171, 10]-code) | [i] | ||
| 105 | Linear OA(8172, large, F8, 9) (dual of [large, large−172, 10]-code) | [i] | ||
| 106 | Linear OA(8173, large, F8, 9) (dual of [large, large−173, 10]-code) | [i] | ||
| 107 | Linear OOA(857, 8101031, F8, 2, 9) (dual of [(8101031, 2), 16202005, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 108 | Linear OOA(857, 8101031, F8, 3, 9) (dual of [(8101031, 3), 24303036, 10]-NRT-code) | [i] | ||
| 109 | Digital (48, 57, 8101031)-net over F8 | [i] | ||
| 110 | Linear OOA(857, 4194301, F8, 2, 9) (dual of [(4194301, 2), 8388545, 10]-NRT-code) | [i] | OOA Folding | |
| 111 | Linear OOA(857, 2796201, F8, 3, 9) (dual of [(2796201, 3), 8388546, 10]-NRT-code) | [i] | ||
| 112 | Linear OOA(857, 2097150, F8, 9, 9) (dual of [(2097150, 9), 18874293, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |