Information on Result #812667
Linear OOA(356, 88579, F3, 2, 8) (dual of [(88579, 2), 177102, 9]-NRT-code), using OOA 2-folding based on linear OA(356, 177158, F3, 8) (dual of [177158, 177102, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(356, 177147, F3, 8) (dual of [177147, 177091, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(345, 177147, F3, 7) (dual of [177147, 177102, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(30, 11, F3, 0) (dual of [11, 11, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(356, 88579, F3, 3, 8) (dual of [(88579, 3), 265681, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(356, 88579, F3, 4, 8) (dual of [(88579, 4), 354260, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(356, 88579, F3, 5, 8) (dual of [(88579, 5), 442839, 9]-NRT-code) | [i] | ||
| 4 | Digital (48, 56, 88579)-net over F3 | [i] | ||