Information on Result #870459
Linear OOA(3288, 16385, F32, 2, 30) (dual of [(16385, 2), 32682, 31]-NRT-code), using OOA 2-folding based on linear OA(3288, 32770, F32, 30) (dual of [32770, 32682, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3288, 32771, F32, 30) (dual of [32771, 32683, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(3288, 32768, F32, 30) (dual of [32768, 32680, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(3285, 32768, F32, 29) (dual of [32768, 32683, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(29) ⊂ Ce(28) [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(32103, 16418, F32, 2, 30) (dual of [(16418, 2), 32733, 31]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(32104, 16429, F32, 2, 30) (dual of [(16429, 2), 32754, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(32106, 16449, F32, 2, 30) (dual of [(16449, 2), 32792, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(32108, 16461, F32, 2, 30) (dual of [(16461, 2), 32814, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(32110, 16483, F32, 2, 30) (dual of [(16483, 2), 32856, 31]-NRT-code) | [i] | ||