Information on Result #612032
Linear OA(3158, 6576, F3, 27) (dual of [6576, 6418, 28]-code), using construction X applied to C([0,13]) ⊂ C([1,13]) based on
- linear OA(3145, 6562, F3, 27) (dual of [6562, 6417, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(3144, 6562, F3, 13) (dual of [6562, 6418, 14]-code), using the narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(313, 14, F3, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,3)), using
- dual of repetition code with length 14 [i]
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(3158, 5022, F3, 2, 27) (dual of [(5022, 2), 9886, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3158, 5022, F3, 3, 27) (dual of [(5022, 3), 14908, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(3158, 5022, F3, 4, 27) (dual of [(5022, 4), 19930, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(3158, 5022, F3, 5, 27) (dual of [(5022, 5), 24952, 28]-NRT-code) | [i] | ||
| 5 | Digital (131, 158, 5022)-net over F3 | [i] | ||