Information on Result #2292390
Linear OA(25659, large, F256, 19) (dual of [large, large−59, 20]-code), using 4 times code embedding in larger space based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
Mode: Constructive and 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(25659, 4631828, F256, 2, 19) (dual of [(4631828, 2), 9263597, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25659, 4631828, F256, 3, 19) (dual of [(4631828, 3), 13895425, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(25659, 4631828, F256, 4, 19) (dual of [(4631828, 4), 18527253, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(25659, 4631828, F256, 5, 19) (dual of [(4631828, 5), 23159081, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(25659, 4631828, F256, 6, 19) (dual of [(4631828, 6), 27790909, 20]-NRT-code) | [i] | ||
| 6 | Digital (40, 59, 4631828)-net over F256 | [i] | ||