Information on Result #621597
Linear OA(25612, 1285, F256, 7) (dual of [1285, 1273, 8]-code), using the BCH-code C(I) with length 1285 | 2562−1, defining interval I = {1,52,103,…,307}, and designed minimum distance d ≥ |I|+1 = 8
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(25641, 66822, F256, 15) (dual of [66822, 66781, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25639, 66821, F256, 14) (dual of [66821, 66782, 15]-code) | [i] | ||
| 3 | Linear OA(25641, 66823, F256, 15) (dual of [66823, 66782, 16]-code) | [i] | ||
| 4 | Linear OA(25639, 66823, F256, 14) (dual of [66823, 66784, 15]-code) | [i] | ||
| 5 | Linear OOA(25612, 1285, F256, 2, 7) (dual of [(1285, 2), 2558, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(25612, 1285, F256, 3, 7) (dual of [(1285, 3), 3843, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(25612, 1285, F256, 4, 7) (dual of [(1285, 4), 5128, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(25612, 1285, F256, 5, 7) (dual of [(1285, 5), 6413, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(25612, 1285, F256, 6, 7) (dual of [(1285, 6), 7698, 8]-NRT-code) | [i] | ||
| 10 | Linear OOA(25612, 642, F256, 2, 7) (dual of [(642, 2), 1272, 8]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(25612, 428, F256, 3, 7) (dual of [(428, 3), 1272, 8]-NRT-code) | [i] | ||