Information on Result #979125
Linear OOA(861, 10924, F8, 3, 14) (dual of [(10924, 3), 32711, 15]-NRT-code), using OOA 3-folding based on linear OA(861, 32772, F8, 14) (dual of [32772, 32711, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(861, 32773, F8, 14) (dual of [32773, 32712, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- 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(856, 32768, F8, 13) (dual of [32768, 32712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(13) ⊂ Ce(12) [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(869, 10938, F8, 3, 14) (dual of [(10938, 3), 32745, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(870, 10941, F8, 3, 14) (dual of [(10941, 3), 32753, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(871, 10948, F8, 3, 14) (dual of [(10948, 3), 32773, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(872, 10949, F8, 3, 14) (dual of [(10949, 3), 32775, 15]-NRT-code) | [i] | ||