Information on Result #1106815
Linear OOA(25637, 13107, F256, 5, 19) (dual of [(13107, 5), 65498, 20]-NRT-code), using OOA 5-folding based on linear OA(25637, 65535, F256, 19) (dual of [65535, 65498, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(25637, 65536, F256, 19) (dual of [65536, 65499, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(25646, 13364, F256, 5, 19) (dual of [(13364, 5), 66774, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25647, 13365, F256, 5, 19) (dual of [(13365, 5), 66778, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(25648, 13366, F256, 5, 19) (dual of [(13366, 5), 66782, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(25649, 13367, F256, 5, 19) (dual of [(13367, 5), 66786, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(25650, 13621, F256, 5, 19) (dual of [(13621, 5), 68055, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(25651, 13622, F256, 5, 19) (dual of [(13622, 5), 68059, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(25652, 13623, F256, 5, 19) (dual of [(13623, 5), 68063, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(25653, 13877, F256, 5, 19) (dual of [(13877, 5), 69332, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(25653, 13878, F256, 5, 19) (dual of [(13878, 5), 69337, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(25637, 13107, F256, 6, 19) (dual of [(13107, 6), 78605, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 11 | Digital (18, 37, 13107)-net over F256 | [i] | ||