Information on Result #611705
Linear OA(363, 2195, F3, 13) (dual of [2195, 2132, 14]-code), using construction X applied to C([0,6]) ⊂ C([1,6]) based on
- linear OA(357, 2188, F3, 13) (dual of [2188, 2131, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(356, 2188, F3, 6) (dual of [2188, 2132, 7]-code), using the narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(36, 7, F3, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,3)), using
- dual of repetition code with length 7 [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(363, 1190, F3, 2, 13) (dual of [(1190, 2), 2317, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(363, 1190, F3, 3, 13) (dual of [(1190, 3), 3507, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(363, 1190, F3, 4, 13) (dual of [(1190, 4), 4697, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(363, 1190, F3, 5, 13) (dual of [(1190, 5), 5887, 14]-NRT-code) | [i] | ||
| 5 | Digital (50, 63, 1190)-net over F3 | [i] | ||