Information on Result #815000
Linear OOA(3185, 9853, F3, 2, 30) (dual of [(9853, 2), 19521, 31]-NRT-code), using OOA 2-folding based on linear OA(3185, 19706, F3, 30) (dual of [19706, 19521, 31]-code), using
- construction X applied to C([0,15]) ⊂ C([0,13]) [i] based on
- linear OA(3181, 19684, F3, 31) (dual of [19684, 19503, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3163, 19684, F3, 27) (dual of [19684, 19521, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(34, 22, F3, 2) (dual of [22, 18, 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
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(3185, 9332, F3, 3, 30) (dual of [(9332, 3), 27811, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3185, 9332, F3, 4, 30) (dual of [(9332, 4), 37143, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(3185, 9332, F3, 5, 30) (dual of [(9332, 5), 46475, 31]-NRT-code) | [i] | ||
| 4 | Digital (155, 185, 9332)-net over F3 | [i] | ||