Information on Result #979449
Linear OOA(881, 10924, F8, 3, 19) (dual of [(10924, 3), 32691, 20]-NRT-code), using OOA 3-folding based on linear OA(881, 32772, F8, 19) (dual of [32772, 32691, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(881, 32773, F8, 19) (dual of [32773, 32692, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(881, 32768, F8, 19) (dual of [32768, 32687, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(876, 32768, F8, 18) (dual of [32768, 32692, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(18) ⊂ Ce(17) [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(891, 10938, F8, 3, 19) (dual of [(10938, 3), 32723, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(892, 10941, F8, 3, 19) (dual of [(10941, 3), 32731, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(893, 10948, F8, 3, 19) (dual of [(10948, 3), 32751, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(894, 10949, F8, 3, 19) (dual of [(10949, 3), 32753, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(895, 10952, F8, 3, 19) (dual of [(10952, 3), 32761, 20]-NRT-code) | [i] | ||