Information on Result #2486485
Linear OOA(3156, 88601, F3, 2, 20) (dual of [(88601, 2), 177046, 21]-NRT-code), using 31 times duplication based on linear OOA(3155, 88601, F3, 2, 20) (dual of [(88601, 2), 177047, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3155, 177202, F3, 20) (dual of [177202, 177047, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(3144, 177147, F3, 20) (dual of [177147, 177003, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3100, 177147, F3, 14) (dual of [177147, 177047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(311, 55, F3, 5) (dual of [55, 44, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(19) ⊂ 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(3156, 75332, F3, 3, 20) (dual of [(75332, 3), 225840, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3156, 75332, F3, 4, 20) (dual of [(75332, 4), 301172, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(3156, 75332, F3, 5, 20) (dual of [(75332, 5), 376504, 21]-NRT-code) | [i] | ||
| 4 | Digital (136, 156, 75332)-net over F3 | [i] | ||