Information on Result #870460
Linear OOA(3289, 16387, F32, 2, 30) (dual of [(16387, 2), 32685, 31]-NRT-code), using OOA 2-folding based on linear OA(3289, 32774, F32, 30) (dual of [32774, 32685, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3289, 32775, F32, 30) (dual of [32775, 32686, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(27) [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(3282, 32768, F32, 28) (dual of [32768, 32686, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(29) ⊂ Ce(27) [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(32105, 16431, F32, 2, 30) (dual of [(16431, 2), 32757, 31]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(32107, 16451, F32, 2, 30) (dual of [(16451, 2), 32795, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(32109, 16463, F32, 2, 30) (dual of [(16463, 2), 32817, 31]-NRT-code) | [i] | ||