Information on Result #1551455
Linear OOA(742, large, F7, 3, 6), using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(742, large, F7, 6) (dual of [large, large−42, 7]-code), using
- trace code [i] based on linear OA(4921, 5764801, F49, 6) (dual of [5764801, 5764780, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(742, large, F7, 3, 5) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(745, large, F7, 3, 6) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(748, large, F7, 3, 6) | [i] | ||
| 4 | Linear OOA(751, large, F7, 3, 6) | [i] | ||
| 5 | Linear OOA(754, large, F7, 3, 6) | [i] | ||
| 6 | Linear OOA(757, large, F7, 3, 6) | [i] | ||
| 7 | Linear OOA(760, large, F7, 3, 6) | [i] | ||
| 8 | Linear OOA(743, large, F7, 3, 6) | [i] | OOA Duplication | |
| 9 | Linear OOA(744, large, F7, 3, 6) | [i] | ||
| 10 | Linear OOA(742, 8388602, F7, 9, 6) (dual of [(8388602, 9), 75497376, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |