Information on Result #1106799
Linear OOA(25635, 13107, F256, 5, 18) (dual of [(13107, 5), 65500, 19]-NRT-code), using OOA 5-folding based on linear OA(25635, 65535, F256, 18) (dual of [65535, 65500, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(25644, 13364, F256, 5, 18) (dual of [(13364, 5), 66776, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25645, 13365, F256, 5, 18) (dual of [(13365, 5), 66780, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(25646, 13366, F256, 5, 18) (dual of [(13366, 5), 66784, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(25647, 13367, F256, 5, 18) (dual of [(13367, 5), 66788, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(25648, 13621, F256, 5, 18) (dual of [(13621, 5), 68057, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(25649, 13622, F256, 5, 18) (dual of [(13622, 5), 68061, 19]-NRT-code) | [i] | ||
| 7 | Linear OOA(25650, 13623, F256, 5, 18) (dual of [(13623, 5), 68065, 19]-NRT-code) | [i] | ||
| 8 | Linear OOA(25651, 13877, F256, 5, 18) (dual of [(13877, 5), 69334, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(25651, 13878, F256, 5, 18) (dual of [(13878, 5), 69339, 19]-NRT-code) | [i] | ||
| 10 | Linear OOA(25635, 13107, F256, 6, 18) (dual of [(13107, 6), 78607, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 11 | Digital (17, 35, 13107)-net over F256 | [i] | ||