Information on Result #2292179
Linear OA(25626, large, F256, 9) (dual of [large, large−26, 10]-code), using 1 times code embedding in larger space based on linear OA(25625, large, F256, 9) (dual of [large, large−25, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [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(25626, 5287316, F256, 2, 9) (dual of [(5287316, 2), 10574606, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25626, 5287316, F256, 3, 9) (dual of [(5287316, 3), 15861922, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(25626, 5287316, F256, 4, 9) (dual of [(5287316, 4), 21149238, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(25626, 5287316, F256, 5, 9) (dual of [(5287316, 5), 26436554, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(25626, 5287316, F256, 6, 9) (dual of [(5287316, 6), 31723870, 10]-NRT-code) | [i] | ||
| 6 | Digital (17, 26, 5287316)-net over F256 | [i] | ||