Information on Result #869475
Linear OOA(3249, 16385, F32, 2, 17) (dual of [(16385, 2), 32721, 18]-NRT-code), using OOA 2-folding based on linear OA(3249, 32770, F32, 17) (dual of [32770, 32721, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3249, 32771, F32, 17) (dual of [32771, 32722, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(3249, 32768, F32, 17) (dual of [32768, 32719, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3246, 32768, F32, 16) (dual of [32768, 32722, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [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(3257, 16418, F32, 2, 17) (dual of [(16418, 2), 32779, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3258, 16429, F32, 2, 17) (dual of [(16429, 2), 32800, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(3260, 16449, F32, 2, 17) (dual of [(16449, 2), 32838, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(3261, 16451, F32, 2, 17) (dual of [(16451, 2), 32841, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(3262, 16462, F32, 2, 17) (dual of [(16462, 2), 32862, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(3263, 16473, F32, 2, 17) (dual of [(16473, 2), 32883, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(3263, 16484, F32, 2, 17) (dual of [(16484, 2), 32905, 18]-NRT-code) | [i] | ||
| 8 | Digital (32, 49, 16385)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |