Information on Result #1567631
Linear OOA(25658, large, F256, 3, 18), using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(25658, large, F256, 18) (dual of [large, large−58, 19]-code), using
- strength reduction [i] based on linear OA(25658, large, F256, 20) (dual of [large, large−58, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [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(25658, large, F256, 3, 17) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(25658, large, F256, 3, 16) | [i] | ||
| 3 | Linear OOA(25658, large, F256, 3, 15) | [i] | ||
| 4 | Linear OOA(25658, large, F256, 3, 14) | [i] | ||
| 5 | Linear OOA(25658, large, F256, 3, 13) | [i] | ||
| 6 | Linear OOA(25658, large, F256, 3, 12) | [i] | ||
| 7 | Linear OOA(25664, large, F256, 3, 18) | [i] | NRT-Code Embedding in Larger Space | |
| 8 | Linear OOA(25667, large, F256, 3, 18) | [i] | ||
| 9 | Linear OOA(25659, large, F256, 3, 18) | [i] | OOA Duplication | |
| 10 | Linear OOA(25660, large, F256, 3, 18) | [i] | ||
| 11 | Linear OOA(25658, 4194301, F256, 5, 18) (dual of [(4194301, 5), 20971447, 19]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(25658, 4194301, F256, 6, 18) (dual of [(4194301, 6), 25165748, 19]-NRT-code) | [i] | ||