Information on Result #869123
Linear OOA(3225, 16385, F32, 2, 9) (dual of [(16385, 2), 32745, 10]-NRT-code), using OOA 2-folding based on linear OA(3225, 32770, F32, 9) (dual of [32770, 32745, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(3225, 32771, F32, 9) (dual of [32771, 32746, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(3225, 32768, F32, 9) (dual of [32768, 32743, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(3222, 32768, F32, 8) (dual of [32768, 32746, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(8) ⊂ Ce(7) [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(3229, 16418, F32, 2, 9) (dual of [(16418, 2), 32807, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3230, 16429, F32, 2, 9) (dual of [(16429, 2), 32828, 10]-NRT-code) | [i] | ||
| 3 | OOA(32108, 4210686, S32, 2, 18) | [i] | ||
| 4 | Digital (16, 25, 16385)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |