Information on Result #1567618
Linear OOA(25657, 7158763, F256, 3, 18) (dual of [(7158763, 3), 21476232, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25657, 7158763, F256, 18) (dual of [7158763, 7158706, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(25657, large, F256, 18) (dual of [large, large−57, 19]-code), using
- 5 times code embedding in larger space [i] based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 5 times code embedding in larger space [i] based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
Mode: 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(25657, 3579381, F256, 5, 18) (dual of [(3579381, 5), 17896848, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25657, 3579381, F256, 6, 18) (dual of [(3579381, 6), 21476229, 19]-NRT-code) | [i] | ||