Information on Result #869267
Linear OOA(3237, 16385, F32, 2, 13) (dual of [(16385, 2), 32733, 14]-NRT-code), using OOA 2-folding based on linear OA(3237, 32770, F32, 13) (dual of [32770, 32733, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3237, 32771, F32, 13) (dual of [32771, 32734, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(3237, 32768, F32, 13) (dual of [32768, 32731, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(3234, 32768, F32, 12) (dual of [32768, 32734, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12) ⊂ Ce(11) [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(3243, 16418, F32, 2, 13) (dual of [(16418, 2), 32793, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3244, 16429, F32, 2, 13) (dual of [(16429, 2), 32814, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(3246, 16451, F32, 2, 13) (dual of [(16451, 2), 32856, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(3247, 16462, F32, 2, 13) (dual of [(16462, 2), 32877, 14]-NRT-code) | [i] | ||
| 5 | Digital (24, 37, 16385)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |