Information on Result #611699
Linear OA(346, 250, F3, 13) (dual of [250, 204, 14]-code), using construction X applied to C([0,6]) ⊂ C([1,6]) based on
- linear OA(341, 244, F3, 13) (dual of [244, 203, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(340, 244, F3, 7) (dual of [244, 204, 8]-code), using the narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [1,6], and minimum distance d ≥ |{1,2,…,6}| + |{−7,0}| = 8 (simple Roos-bound) [i]
- linear OA(35, 6, F3, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,3)), using
- dual of repetition code with length 6 [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(346, 211, F3, 2, 13) (dual of [(211, 2), 376, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(346, 211, F3, 3, 13) (dual of [(211, 3), 587, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(346, 211, F3, 4, 13) (dual of [(211, 4), 798, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(346, 211, F3, 5, 13) (dual of [(211, 5), 1009, 14]-NRT-code) | [i] | ||
| 5 | Digital (33, 46, 211)-net over F3 | [i] | ||