Information on Result #979180
Linear OOA(858, 2732, F8, 3, 15) (dual of [(2732, 3), 8138, 16]-NRT-code), using OOA 3-folding based on linear OA(858, 8196, F8, 15) (dual of [8196, 8138, 16]-code), using
- trace code [i] based on linear OA(6429, 4098, F64, 15) (dual of [4098, 4069, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(6429, 4096, F64, 15) (dual of [4096, 4067, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(6427, 4096, F64, 14) (dual of [4096, 4069, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 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(859, 2732, F8, 3, 15) (dual of [(2732, 3), 8137, 16]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(865, 2741, F8, 3, 15) (dual of [(2741, 3), 8158, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |