Information on Result #675357
Linear OA(3236, 6603, F3, 43) (dual of [6603, 6367, 44]-code), using construction X applied to C([0,21]) ⊂ C([0,18]) 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(3193, 6562, F3, 37) (dual of [6562, 6369, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(311, 41, F3, 5) (dual of [41, 30, 6]-code), using
- (u, u+v)-construction [i] based on
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- (u, u+v)-construction [i] based on
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(3236, 4342, F3, 2, 43) (dual of [(4342, 2), 8448, 44]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3236, 4342, F3, 3, 43) (dual of [(4342, 3), 12790, 44]-NRT-code) | [i] | ||
| 3 | Linear OOA(3236, 4342, F3, 4, 43) (dual of [(4342, 4), 17132, 44]-NRT-code) | [i] | ||
| 4 | Linear OOA(3236, 4342, F3, 5, 43) (dual of [(4342, 5), 21474, 44]-NRT-code) | [i] | ||
| 5 | Digital (193, 236, 4342)-net over F3 | [i] | ||
| 6 | Linear OOA(3236, 2201, F3, 3, 43) (dual of [(2201, 3), 6367, 44]-NRT-code) | [i] | OOA Folding | |