Information on Result #869187
Linear OOA(3231, 16385, F32, 2, 11) (dual of [(16385, 2), 32739, 12]-NRT-code), using OOA 2-folding based on linear OA(3231, 32770, F32, 11) (dual of [32770, 32739, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(3231, 32771, F32, 11) (dual of [32771, 32740, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(3231, 32768, F32, 11) (dual of [32768, 32737, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(3228, 32768, F32, 10) (dual of [32768, 32740, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(10) ⊂ Ce(9) [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(3236, 16418, F32, 2, 11) (dual of [(16418, 2), 32800, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3237, 16429, F32, 2, 11) (dual of [(16429, 2), 32821, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(3240, 16914, F32, 2, 11) (dual of [(16914, 2), 33788, 12]-NRT-code) | [i] | ||
| 4 | Digital (20, 31, 16385)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |