Information on Result #1071505
Linear OOA(25627, 16384, F256, 4, 14) (dual of [(16384, 4), 65509, 15]-NRT-code), using OOA 4-folding based on linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
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 OOA(25634, 16641, F256, 4, 14) (dual of [(16641, 4), 66530, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25635, 16642, F256, 4, 14) (dual of [(16642, 4), 66533, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(25636, 16643, F256, 4, 14) (dual of [(16643, 4), 66536, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(25637, 16898, F256, 4, 14) (dual of [(16898, 4), 67555, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(25638, 16899, F256, 4, 14) (dual of [(16899, 4), 67558, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(25639, 17154, F256, 4, 14) (dual of [(17154, 4), 68577, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(25639, 17155, F256, 4, 14) (dual of [(17155, 4), 68581, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(25627, 16384, F256, 5, 14) (dual of [(16384, 5), 81893, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 9 | Linear OOA(25627, 16384, F256, 6, 14) (dual of [(16384, 6), 98277, 15]-NRT-code) | [i] | ||
| 10 | Digital (13, 27, 16384)-net over F256 | [i] | ||