Information on Result #614949
Linear OA(8121, large, F8, 18) (dual of [large, large−121, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19
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(8121, large, F8, 17) (dual of [large, large−121, 18]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8121, large, F8, 16) (dual of [large, large−121, 17]-code) | [i] | ||
| 3 | Linear OA(8121, large, F8, 15) (dual of [large, large−121, 16]-code) | [i] | ||
| 4 | Linear OA(8121, large, F8, 14) (dual of [large, large−121, 15]-code) | [i] | ||
| 5 | Linear OA(8121, large, F8, 13) (dual of [large, large−121, 14]-code) | [i] | ||
| 6 | Linear OA(8121, large, F8, 12) (dual of [large, large−121, 13]-code) | [i] | ||
| 7 | Linear OA(8121, large, F8, 11) (dual of [large, large−121, 12]-code) | [i] | ||
| 8 | Linear OA(8121, large, F8, 10) (dual of [large, large−121, 11]-code) | [i] | ||
| 9 | Linear OA(8121, large, F8, 9) (dual of [large, large−121, 10]-code) | [i] | ||
| 10 | Linear OA(8121, large, F8, 8) (dual of [large, large−121, 9]-code) | [i] | ||
| 11 | Linear OA(8121, large, F8, 7) (dual of [large, large−121, 8]-code) | [i] | ||
| 12 | Linear OA(8121, large, F8, 6) (dual of [large, large−121, 7]-code) | [i] | ||
| 13 | Linear OA(8121, large, F8, 5) (dual of [large, large−121, 6]-code) | [i] | ||
| 14 | Linear OA(8121, large, F8, 4) (dual of [large, large−121, 5]-code) | [i] | ||
| 15 | Linear OA(8121, large, F8, 3) (dual of [large, large−121, 4]-code) | [i] | ||
| 16 | Linear OA(8122, large, F8, 18) (dual of [large, large−122, 19]-code) | [i] | Code Embedding in Larger Space | |
| 17 | Linear OA(8123, large, F8, 18) (dual of [large, large−123, 19]-code) | [i] | ||
| 18 | Linear OA(8124, large, F8, 18) (dual of [large, large−124, 19]-code) | [i] | ||
| 19 | Linear OA(8125, large, F8, 18) (dual of [large, large−125, 19]-code) | [i] | ||
| 20 | Linear OA(8126, large, F8, 18) (dual of [large, large−126, 19]-code) | [i] | ||
| 21 | Linear OA(8127, large, F8, 18) (dual of [large, large−127, 19]-code) | [i] | ||
| 22 | Linear OA(8128, large, F8, 18) (dual of [large, large−128, 19]-code) | [i] | ||
| 23 | Linear OA(8130, large, F8, 18) (dual of [large, large−130, 19]-code) | [i] | ||
| 24 | Linear OA(8131, large, F8, 18) (dual of [large, large−131, 19]-code) | [i] | ||
| 25 | Linear OA(8132, large, F8, 18) (dual of [large, large−132, 19]-code) | [i] | ||
| 26 | Linear OA(8133, large, F8, 18) (dual of [large, large−133, 19]-code) | [i] | ||
| 27 | Linear OA(8134, large, F8, 18) (dual of [large, large−134, 19]-code) | [i] | ||
| 28 | Linear OA(8135, large, F8, 18) (dual of [large, large−135, 19]-code) | [i] | ||
| 29 | Linear OA(8136, large, F8, 18) (dual of [large, large−136, 19]-code) | [i] | ||
| 30 | Linear OA(8138, large, F8, 18) (dual of [large, large−138, 19]-code) | [i] | ||
| 31 | Linear OA(8139, large, F8, 18) (dual of [large, large−139, 19]-code) | [i] | ||
| 32 | Linear OA(8140, large, F8, 18) (dual of [large, large−140, 19]-code) | [i] | ||
| 33 | Linear OA(8141, large, F8, 18) (dual of [large, large−141, 19]-code) | [i] | ||
| 34 | Linear OA(8142, large, F8, 18) (dual of [large, large−142, 19]-code) | [i] | ||
| 35 | Linear OA(8143, large, F8, 18) (dual of [large, large−143, 19]-code) | [i] | ||
| 36 | Linear OA(8144, large, F8, 18) (dual of [large, large−144, 19]-code) | [i] | ||
| 37 | Linear OA(8146, large, F8, 18) (dual of [large, large−146, 19]-code) | [i] | ||
| 38 | Linear OA(8147, large, F8, 18) (dual of [large, large−147, 19]-code) | [i] | ||
| 39 | Linear OA(8148, large, F8, 18) (dual of [large, large−148, 19]-code) | [i] | ||
| 40 | Linear OA(8149, large, F8, 18) (dual of [large, large−149, 19]-code) | [i] | ||
| 41 | Linear OA(8150, large, F8, 18) (dual of [large, large−150, 19]-code) | [i] | ||
| 42 | Linear OA(8151, large, F8, 18) (dual of [large, large−151, 19]-code) | [i] | ||
| 43 | Linear OA(8152, large, F8, 18) (dual of [large, large−152, 19]-code) | [i] | ||
| 44 | Linear OA(8154, large, F8, 18) (dual of [large, large−154, 19]-code) | [i] | ||
| 45 | Linear OA(8155, large, F8, 18) (dual of [large, large−155, 19]-code) | [i] | ||
| 46 | Linear OA(8156, large, F8, 18) (dual of [large, large−156, 19]-code) | [i] | ||
| 47 | Linear OA(8157, large, F8, 18) (dual of [large, large−157, 19]-code) | [i] | ||
| 48 | Linear OA(8158, large, F8, 18) (dual of [large, large−158, 19]-code) | [i] | ||
| 49 | Linear OA(8159, large, F8, 18) (dual of [large, large−159, 19]-code) | [i] | ||
| 50 | Linear OA(8160, large, F8, 18) (dual of [large, large−160, 19]-code) | [i] | ||
| 51 | Linear OA(8162, large, F8, 18) (dual of [large, large−162, 19]-code) | [i] | ||
| 52 | Linear OA(8163, large, F8, 18) (dual of [large, large−163, 19]-code) | [i] | ||
| 53 | Linear OA(8164, large, F8, 18) (dual of [large, large−164, 19]-code) | [i] | ||
| 54 | Linear OA(8165, large, F8, 18) (dual of [large, large−165, 19]-code) | [i] | ||
| 55 | Linear OA(8166, large, F8, 18) (dual of [large, large−166, 19]-code) | [i] | ||
| 56 | Linear OA(8167, large, F8, 18) (dual of [large, large−167, 19]-code) | [i] | ||
| 57 | Linear OA(8170, large, F8, 18) (dual of [large, large−170, 19]-code) | [i] | ||
| 58 | Linear OA(8171, large, F8, 18) (dual of [large, large−171, 19]-code) | [i] | ||
| 59 | Linear OA(8172, large, F8, 18) (dual of [large, large−172, 19]-code) | [i] | ||
| 60 | Linear OA(8173, large, F8, 18) (dual of [large, large−173, 19]-code) | [i] | ||
| 61 | Linear OOA(8121, 5762552, F8, 2, 18) (dual of [(5762552, 2), 11524983, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 62 | Linear OOA(8121, 5762552, F8, 3, 18) (dual of [(5762552, 3), 17287535, 19]-NRT-code) | [i] | ||
| 63 | Digital (103, 121, 5762552)-net over F8 | [i] | ||
| 64 | Linear OOA(8121, 4194301, F8, 2, 18) (dual of [(4194301, 2), 8388481, 19]-NRT-code) | [i] | OOA Folding | |
| 65 | Linear OOA(8121, 2796201, F8, 3, 18) (dual of [(2796201, 3), 8388482, 19]-NRT-code) | [i] | ||
| 66 | Linear OOA(8121, 932067, F8, 18, 18) (dual of [(932067, 18), 16777085, 19]-NRT-code) | [i] | OA Folding and Stacking | |