Information on Result #696876
Linear OA(3241, 32775, F32, 14) (dual of [32775, 32734, 15]-code), using construction X applied to Ce(13) ⊂ Ce(11) based on
- linear OA(3240, 32768, F32, 14) (dual of [32768, 32728, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(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(1652, 32775, S16, 14) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(3249, 32819, F32, 14) (dual of [32819, 32770, 15]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OOA(3241, 17743, F32, 2, 14) (dual of [(17743, 2), 35445, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (27, 41, 17743)-net over F32 | [i] | ||
| 5 | Linear OOA(3241, 16387, F32, 2, 14) (dual of [(16387, 2), 32733, 15]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3241, 4682, F32, 14, 14) (dual of [(4682, 14), 65507, 15]-NRT-code) | [i] | OA Folding and Stacking | |