Information on Result #814150
Linear OOA(3128, 3280, F3, 2, 24) (dual of [(3280, 2), 6432, 25]-NRT-code), using OOA 2-folding based on linear OA(3128, 6560, F3, 24) (dual of [6560, 6432, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3128, 6561, F3, 24) (dual of [6561, 6433, 25]-code), using
- 1 times truncation [i] based on linear OA(3129, 6562, F3, 25) (dual of [6562, 6433, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(3129, 6562, F3, 25) (dual of [6562, 6433, 26]-code), using
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(3128, 3144, F3, 3, 24) (dual of [(3144, 3), 9304, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3128, 3144, F3, 4, 24) (dual of [(3144, 4), 12448, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(3128, 3144, F3, 5, 24) (dual of [(3144, 5), 15592, 25]-NRT-code) | [i] | ||
| 4 | Digital (104, 128, 3144)-net over F3 | [i] | ||