Information on Result #696847
Linear OA(3237, 32771, F32, 13) (dual of [32771, 32734, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) based on
- linear OA(3237, 32768, F32, 13) (dual of [32768, 32731, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(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
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(1647, 32771, S16, 13) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(3243, 32804, F32, 13) (dual of [32804, 32761, 14]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(3244, 32815, F32, 13) (dual of [32815, 32771, 14]-code) | [i] | ||
| 4 | Linear OA(3245, 32817, F32, 13) (dual of [32817, 32772, 14]-code) | [i] | ||
| 5 | Linear OA(3246, 32837, F32, 13) (dual of [32837, 32791, 14]-code) | [i] | ||
| 6 | Linear OA(3247, 32868, F32, 13) (dual of [32868, 32821, 14]-code) | [i] | ||
| 7 | Linear OA(3248, 33798, F32, 13) (dual of [33798, 33750, 14]-code) | [i] | ||
| 8 | Linear OOA(3237, 16385, F32, 2, 13) (dual of [(16385, 2), 32733, 14]-NRT-code) | [i] | OOA Folding | |