Information on Result #1071558
Linear OOA(25632, 16385, F256, 4, 16) (dual of [(16385, 4), 65508, 17]-NRT-code), using OOA 4-folding based on linear OA(25632, 65540, F256, 16) (dual of [65540, 65508, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(25632, 65541, F256, 16) (dual of [65541, 65509, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 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(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
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
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(25632, 16385, F256, 5, 16) (dual of [(16385, 5), 81893, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25632, 16385, F256, 6, 16) (dual of [(16385, 6), 98278, 17]-NRT-code) | [i] | ||
| 3 | Digital (16, 32, 16385)-net over F256 | [i] | ||