Information on Result #869672
Linear OOA(3258, 16385, F32, 2, 20) (dual of [(16385, 2), 32712, 21]-NRT-code), using OOA 2-folding based on linear OA(3258, 32770, F32, 20) (dual of [32770, 32712, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3258, 32771, F32, 20) (dual of [32771, 32713, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(3258, 32768, F32, 20) (dual of [32768, 32710, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3255, 32768, F32, 19) (dual of [32768, 32713, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [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(3268, 16418, F32, 2, 20) (dual of [(16418, 2), 32768, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3269, 16429, F32, 2, 20) (dual of [(16429, 2), 32789, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(3271, 16449, F32, 2, 20) (dual of [(16449, 2), 32827, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(3273, 16461, F32, 2, 20) (dual of [(16461, 2), 32849, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(3274, 16462, F32, 2, 20) (dual of [(16462, 2), 32850, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(3275, 16483, F32, 2, 20) (dual of [(16483, 2), 32891, 21]-NRT-code) | [i] | ||
| 7 | Digital (38, 58, 16385)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |