Information on Result #812669
Linear OOA(360, 88586, F3, 2, 8) (dual of [(88586, 2), 177112, 9]-NRT-code), using OOA 2-folding based on linear OA(360, 177172, F3, 8) (dual of [177172, 177112, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(360, 177173, F3, 8) (dual of [177173, 177113, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [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(334, 177147, F3, 5) (dual of [177147, 177113, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(34, 26, F3, 2) (dual of [26, 22, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [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(360, 88586, F3, 3, 8) (dual of [(88586, 3), 265698, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(360, 88586, F3, 4, 8) (dual of [(88586, 4), 354284, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(360, 88586, F3, 5, 8) (dual of [(88586, 5), 442870, 9]-NRT-code) | [i] | ||
| 4 | Digital (52, 60, 88586)-net over F3 | [i] | ||