Information on Result #870608
Linear OOA(3293, 16383, F32, 2, 32) (dual of [(16383, 2), 32673, 33]-NRT-code), using OOA 2-folding based on linear OA(3293, 32766, F32, 32) (dual of [32766, 32673, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(3293, 32767, F32, 32) (dual of [32767, 32674, 33]-code), using
- 1 times truncation [i] based on linear OA(3294, 32768, F32, 33) (dual of [32768, 32674, 34]-code), using
- an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- 1 times truncation [i] based on linear OA(3294, 32768, F32, 33) (dual of [32768, 32674, 34]-code), using
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(32109, 16416, F32, 2, 32) (dual of [(16416, 2), 32723, 33]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(32110, 16427, F32, 2, 32) (dual of [(16427, 2), 32744, 33]-NRT-code) | [i] | ||
| 3 | Digital (61, 93, 16383)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |