Information on Result #675303
Linear OA(3228, 6575, F3, 42) (dual of [6575, 6347, 43]-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, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [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, 3984, F3, 2, 42) (dual of [(3984, 2), 7740, 43]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3228, 3984, F3, 3, 42) (dual of [(3984, 3), 11724, 43]-NRT-code) | [i] | ||
| 3 | Linear OOA(3228, 3984, F3, 4, 42) (dual of [(3984, 4), 15708, 43]-NRT-code) | [i] | ||
| 4 | Linear OOA(3228, 3984, F3, 5, 42) (dual of [(3984, 5), 19692, 43]-NRT-code) | [i] | ||
| 5 | Digital (186, 228, 3984)-net over F3 | [i] | ||