Information on Result #993633
Linear OOA(25628, 21847, F256, 3, 14) (dual of [(21847, 3), 65513, 15]-NRT-code), using OOA 3-folding based on linear OA(25628, 65541, F256, 14) (dual of [65541, 65513, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] 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]
- linear OA(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(25668, 5592832, F256, 3, 14) (dual of [(5592832, 3), 16778428, 15]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25628, 18618, F256, 4, 14) (dual of [(18618, 4), 74444, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(25628, 18618, F256, 5, 14) (dual of [(18618, 5), 93062, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(25628, 18618, F256, 6, 14) (dual of [(18618, 6), 111680, 15]-NRT-code) | [i] | ||
| 5 | Digital (14, 28, 18618)-net over F256 | [i] | ||