Information on Result #2219187
Linear OA(25640, large, F256, 13) (dual of [large, large−40, 14]-code), using strength reduction based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [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(25640, 6649347, F256, 2, 13) (dual of [(6649347, 2), 13298654, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25640, 6649347, F256, 3, 13) (dual of [(6649347, 3), 19948001, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(25640, 6649347, F256, 4, 13) (dual of [(6649347, 4), 26597348, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(25640, 6649347, F256, 5, 13) (dual of [(6649347, 5), 33246695, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(25640, 6649347, F256, 6, 13) (dual of [(6649347, 6), 39896042, 14]-NRT-code) | [i] | ||
| 6 | Digital (27, 40, 6649347)-net over F256 | [i] | ||