Information on Result #1547237
Linear OOA(543, large, F5, 3, 6), using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(543, large, F5, 6) (dual of [large, large−43, 7]-code), using
- 2 times code embedding in larger space [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
Mode: 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 OOA(543, large, F5, 3, 5) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(546, large, F5, 3, 6) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(549, large, F5, 3, 6) | [i] | ||
| 4 | Linear OOA(555, large, F5, 3, 6) | [i] | ||
| 5 | Linear OOA(558, large, F5, 3, 6) | [i] | ||
| 6 | Linear OOA(561, large, F5, 3, 6) | [i] | ||
| 7 | Linear OOA(564, large, F5, 3, 6) | [i] | ||
| 8 | Linear OOA(544, large, F5, 3, 6) | [i] | OOA Duplication | |
| 9 | Linear OOA(545, large, F5, 3, 6) | [i] | ||
| 10 | Linear OOA(543, 8388602, F5, 9, 6) (dual of [(8388602, 9), 75497375, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |