Information on Result #1071482
Linear OOA(25625, 16384, F256, 4, 13) (dual of [(16384, 4), 65511, 14]-NRT-code), using OOA 4-folding based on linear OA(25625, 65536, F256, 13) (dual of [65536, 65511, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(25631, 16641, F256, 4, 13) (dual of [(16641, 4), 66533, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25632, 16642, F256, 4, 13) (dual of [(16642, 4), 66536, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(25633, 16643, F256, 4, 13) (dual of [(16643, 4), 66539, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(25634, 16898, F256, 4, 13) (dual of [(16898, 4), 67558, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(25635, 16899, F256, 4, 13) (dual of [(16899, 4), 67561, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(25625, 16384, F256, 5, 13) (dual of [(16384, 5), 81895, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(25625, 16384, F256, 6, 13) (dual of [(16384, 6), 98279, 14]-NRT-code) | [i] | ||
| 8 | Digital (12, 25, 16384)-net over F256 | [i] | ||