Information on Result #696877
Linear OA(3235, 32775, F32, 12) (dual of [32775, 32740, 13]-code), using construction X applied to Ce(11) ⊂ Ce(9) based on
- 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(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(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 | OA(1644, 32775, S16, 12) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(3242, 32819, F32, 12) (dual of [32819, 32777, 13]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OOA(3235, 19144, F32, 2, 12) (dual of [(19144, 2), 38253, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (23, 35, 19144)-net over F32 | [i] | ||
| 5 | Linear OOA(3235, 16387, F32, 2, 12) (dual of [(16387, 2), 32739, 13]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3235, 5462, F32, 12, 12) (dual of [(5462, 12), 65509, 13]-NRT-code) | [i] | OA Folding and Stacking | |