Information on Result #2292209
Linear OA(25630, large, F256, 10) (dual of [large, large−30, 11]-code), using 2 times code embedding in larger space based on linear OA(25628, large, F256, 10) (dual of [large, large−28, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [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(25630, 7925371, F256, 2, 10) (dual of [(7925371, 2), 15850712, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25630, 7925371, F256, 3, 10) (dual of [(7925371, 3), 23776083, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(25630, 7925371, F256, 4, 10) (dual of [(7925371, 4), 31701454, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(25630, 7925371, F256, 5, 10) (dual of [(7925371, 5), 39626825, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(25630, 7925371, F256, 6, 10) (dual of [(7925371, 6), 47552196, 11]-NRT-code) | [i] | ||
| 6 | Digital (20, 30, 7925371)-net over F256 | [i] | ||