Information on Result #944889
Linear OOA(25610, 4194301, F256, 3, 4) (dual of [(4194301, 3), 12582893, 5]-NRT-code), using OA 2-folding and stacking based on linear OA(25610, 8388602, F256, 4) (dual of [8388602, 8388592, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(25610, large, F256, 4) (dual of [large, large−10, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [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(25632, 5592402, F256, 3, 8) (dual of [(5592402, 3), 16777174, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25635, 5592404, F256, 3, 8) (dual of [(5592404, 3), 16777177, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(25636, 5592916, F256, 3, 8) (dual of [(5592916, 3), 16778712, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(25637, 5592918, F256, 3, 8) (dual of [(5592918, 3), 16778717, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(25638, 5657682, F256, 3, 8) (dual of [(5657682, 3), 16973008, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(25639, 5657940, F256, 3, 8) (dual of [(5657940, 3), 16973781, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(25640, 5723984, F256, 3, 8) (dual of [(5723984, 3), 17171912, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(25641, 8355968, F256, 3, 8) (dual of [(8355968, 3), 25067863, 9]-NRT-code) | [i] | ||
| 9 | Linear OOA(25642, large, F256, 3, 8) | [i] | ||
| 10 | Linear OOA(25635, 5592402, F256, 3, 9) (dual of [(5592402, 3), 16777171, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(25638, 5592404, F256, 3, 9) (dual of [(5592404, 3), 16777174, 10]-NRT-code) | [i] | ||
| 12 | Linear OOA(25639, 5592916, F256, 3, 9) (dual of [(5592916, 3), 16778709, 10]-NRT-code) | [i] | ||
| 13 | Linear OOA(25640, 5592918, F256, 3, 9) (dual of [(5592918, 3), 16778714, 10]-NRT-code) | [i] | ||
| 14 | Linear OOA(25641, 5657682, F256, 3, 9) (dual of [(5657682, 3), 16973005, 10]-NRT-code) | [i] | ||
| 15 | Linear OOA(25642, 5657940, F256, 3, 9) (dual of [(5657940, 3), 16973778, 10]-NRT-code) | [i] | ||
| 16 | Linear OOA(25643, 5723984, F256, 3, 9) (dual of [(5723984, 3), 17171909, 10]-NRT-code) | [i] | ||
| 17 | Linear OOA(25644, 5723986, F256, 3, 9) (dual of [(5723986, 3), 17171914, 10]-NRT-code) | [i] | ||
| 18 | Linear OOA(25645, large, F256, 3, 9) | [i] | ||
| 19 | Linear OOA(25668, large, F256, 3, 13) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 20 | Linear OOA(25665, large, F256, 3, 12) | [i] | ||
| 21 | Linear OOA(25666, large, F256, 3, 13) | [i] | ||
| 22 | Linear OOA(25663, large, F256, 3, 12) | [i] | ||
| 23 | Linear OOA(25663, large, F256, 3, 13) | [i] | ||
| 24 | Linear OOA(25660, large, F256, 3, 12) | [i] | ||
| 25 | Linear OOA(25640, 5723739, F256, 3, 9) (dual of [(5723739, 3), 17171177, 10]-NRT-code) | [i] | ||