Information on Result #675388
Linear OA(3156, 6603, F3, 27) (dual of [6603, 6447, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,10]) based on
- linear OA(3145, 6562, F3, 27) (dual of [6562, 6417, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(3113, 6562, F3, 21) (dual of [6562, 6449, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(3156, 4597, F3, 2, 27) (dual of [(4597, 2), 9038, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3156, 4597, F3, 3, 27) (dual of [(4597, 3), 13635, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(3156, 4597, F3, 4, 27) (dual of [(4597, 4), 18232, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(3156, 4597, F3, 5, 27) (dual of [(4597, 5), 22829, 28]-NRT-code) | [i] | ||
| 5 | Digital (129, 156, 4597)-net over F3 | [i] | ||