Information on Result #1410845
Linear OOA(3142, 2016, F3, 2, 28) (dual of [(2016, 2), 3890, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3142, 2016, F3, 28) (dual of [2016, 1874, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3142, 2231, F3, 28) (dual of [2231, 2089, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
- linear OA(3127, 2187, F3, 28) (dual of [2187, 2060, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(392, 2187, F3, 20) (dual of [2187, 2095, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(315, 44, F3, 7) (dual of [44, 29, 8]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
Mode: 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(3142, 1008, F3, 3, 28) (dual of [(1008, 3), 2882, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3142, 1008, F3, 4, 28) (dual of [(1008, 4), 3890, 29]-NRT-code) | [i] | ||