Information on Result #1106945
Linear OOA(25651, 13107, F256, 5, 26) (dual of [(13107, 5), 65484, 27]-NRT-code), using OOA 5-folding based on linear OA(25651, 65535, F256, 26) (dual of [65535, 65484, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(25664, 13364, F256, 5, 26) (dual of [(13364, 5), 66756, 27]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25665, 13365, F256, 5, 26) (dual of [(13365, 5), 66760, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(25666, 13366, F256, 5, 26) (dual of [(13366, 5), 66764, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(25667, 13367, F256, 5, 26) (dual of [(13367, 5), 66768, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(25668, 13368, F256, 5, 26) (dual of [(13368, 5), 66772, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(25651, 11256, F256, 6, 26) (dual of [(11256, 6), 67485, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Digital (25, 51, 11256)-net over F256 | [i] | ||