Information on Result #1050855
Linear OOA(8117, 4194301, F81, 4, 5) (dual of [(4194301, 4), 16777187, 6]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OA(8117, large, F81, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, 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 OOA(8118, 4194301, F81, 4, 5) (dual of [(4194301, 4), 16777186, 6]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8119, 4194383, F81, 4, 5) (dual of [(4194383, 4), 16777513, 6]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(8156, 4194302, F81, 4, 10) (dual of [(4194302, 4), 16777152, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(8159, 4194464, F81, 4, 10) (dual of [(4194464, 4), 16777797, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(8160, 4194500, F81, 4, 10) (dual of [(4194500, 4), 16777940, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(8161, 4200780, F81, 4, 10) (dual of [(4200780, 4), 16803059, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(8163, 4200944, F81, 4, 10) (dual of [(4200944, 4), 16803713, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(8164, 4207582, F81, 4, 10) (dual of [(4207582, 4), 16830264, 11]-NRT-code) | [i] | ||
| 9 | Linear OOA(8165, 4213742, F81, 4, 10) (dual of [(4213742, 4), 16854903, 11]-NRT-code) | [i] | ||
| 10 | Linear OOA(8166, 4220222, F81, 4, 10) (dual of [(4220222, 4), 16880822, 11]-NRT-code) | [i] | ||
| 11 | Linear OOA(8167, 4725742, F81, 4, 10) (dual of [(4725742, 4), 18902901, 11]-NRT-code) | [i] | ||
| 12 | Linear OOA(8168, 4725748, F81, 4, 10) (dual of [(4725748, 4), 18902924, 11]-NRT-code) | [i] | ||
| 13 | Linear OOA(8169, 4732462, F81, 4, 10) (dual of [(4732462, 4), 18929779, 11]-NRT-code) | [i] | ||
| 14 | Linear OOA(8170, 5270302, F81, 4, 10) (dual of [(5270302, 4), 21081138, 11]-NRT-code) | [i] | ||
| 15 | Linear OOA(8171, 8388602, F81, 4, 10) (dual of [(8388602, 4), 33554337, 11]-NRT-code) | [i] | ||
| 16 | Linear OOA(8173, large, F81, 4, 10) | [i] | ||
| 17 | Linear OOA(8160, 4194302, F81, 4, 11) (dual of [(4194302, 4), 16777148, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(8163, 4194464, F81, 4, 11) (dual of [(4194464, 4), 16777793, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(8164, 4194500, F81, 4, 11) (dual of [(4194500, 4), 16777936, 12]-NRT-code) | [i] | ||
| 20 | Linear OOA(8165, 4200780, F81, 4, 11) (dual of [(4200780, 4), 16803055, 12]-NRT-code) | [i] | ||
| 21 | Linear OOA(8167, 4200944, F81, 4, 11) (dual of [(4200944, 4), 16803709, 12]-NRT-code) | [i] | ||
| 22 | Linear OOA(8168, 4207582, F81, 4, 11) (dual of [(4207582, 4), 16830260, 12]-NRT-code) | [i] | ||
| 23 | Linear OOA(8169, 4213742, F81, 4, 11) (dual of [(4213742, 4), 16854899, 12]-NRT-code) | [i] | ||
| 24 | Linear OOA(8170, 4220222, F81, 4, 11) (dual of [(4220222, 4), 16880818, 12]-NRT-code) | [i] | ||
| 25 | Linear OOA(8171, 4725742, F81, 4, 11) (dual of [(4725742, 4), 18902897, 12]-NRT-code) | [i] | ||
| 26 | Linear OOA(8172, 4725748, F81, 4, 11) (dual of [(4725748, 4), 18902920, 12]-NRT-code) | [i] | ||
| 27 | Linear OOA(8173, 4732462, F81, 4, 11) (dual of [(4732462, 4), 18929775, 12]-NRT-code) | [i] | ||
| 28 | Linear OOA(8174, 5270302, F81, 4, 11) (dual of [(5270302, 4), 21081134, 12]-NRT-code) | [i] | ||
| 29 | Linear OOA(8175, 8388602, F81, 4, 11) (dual of [(8388602, 4), 33554333, 12]-NRT-code) | [i] | ||
| 30 | Linear OOA(8177, large, F81, 4, 11) | [i] | ||
| 31 | Linear OOA(8161, 4194382, F81, 4, 11) (dual of [(4194382, 4), 16777467, 12]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 32 | Linear OOA(8162, 4200862, F81, 4, 11) (dual of [(4200862, 4), 16803386, 12]-NRT-code) | [i] | ||
| 33 | Linear OOA(8163, 4210618, F81, 4, 11) (dual of [(4210618, 4), 16842409, 12]-NRT-code) | [i] | ||
| 34 | Linear OOA(8157, 4194382, F81, 4, 10) (dual of [(4194382, 4), 16777471, 11]-NRT-code) | [i] | ||
| 35 | Linear OOA(8158, 4200862, F81, 4, 10) (dual of [(4200862, 4), 16803390, 11]-NRT-code) | [i] | ||
| 36 | Linear OOA(8159, 4210618, F81, 4, 10) (dual of [(4210618, 4), 16842413, 11]-NRT-code) | [i] | ||
| 37 | Linear OOA(8117, 4194301, F81, 5, 5) (dual of [(4194301, 5), 20971488, 6]-NRT-code) | [i] | Appending kth Column | |