Information on Result #979186
Linear OOA(866, 10924, F8, 3, 15) (dual of [(10924, 3), 32706, 16]-NRT-code), using OOA 3-folding based on linear OA(866, 32772, F8, 15) (dual of [32772, 32706, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(866, 32773, F8, 15) (dual of [32773, 32707, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(866, 32768, F8, 15) (dual of [32768, 32702, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(861, 32768, F8, 14) (dual of [32768, 32707, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [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(874, 10938, F8, 3, 15) (dual of [(10938, 3), 32740, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(875, 10941, F8, 3, 15) (dual of [(10941, 3), 32748, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(876, 10948, F8, 3, 15) (dual of [(10948, 3), 32768, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(877, 10949, F8, 3, 15) (dual of [(10949, 3), 32770, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(878, 10952, F8, 3, 15) (dual of [(10952, 3), 32778, 16]-NRT-code) | [i] | ||