Information on Result #675298
Linear OA(3228, 6566, F3, 43) (dual of [6566, 6338, 44]-code), using construction X applied to C([0,21]) ⊂ C([0,19]) based on
- linear OA(3225, 6562, F3, 43) (dual of [6562, 6337, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(3209, 6562, F3, 39) (dual of [6562, 6353, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(33, 4, F3, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,3) or 4-cap in PG(2,3)), using
- dual of repetition code with length 4 [i]
- oval in PG(2, 3) [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(3228, 3497, F3, 2, 43) (dual of [(3497, 2), 6766, 44]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3228, 3497, F3, 3, 43) (dual of [(3497, 3), 10263, 44]-NRT-code) | [i] | ||
| 3 | Linear OOA(3228, 3497, F3, 4, 43) (dual of [(3497, 4), 13760, 44]-NRT-code) | [i] | ||
| 4 | Linear OOA(3228, 3497, F3, 5, 43) (dual of [(3497, 5), 17257, 44]-NRT-code) | [i] | ||
| 5 | Digital (185, 228, 3497)-net over F3 | [i] | ||