Information on Result #952478
Linear OOA(3140, 1594322, F3, 3, 15) (dual of [(1594322, 3), 4782826, 16]-NRT-code), using OOA 3-folding based on linear OA(3140, 4782966, F3, 15) (dual of [4782966, 4782826, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3140, 4782968, F3, 15) (dual of [4782968, 4782828, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(3140, 1594322, F3, 4, 15) (dual of [(1594322, 4), 6377148, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3140, 1594322, F3, 5, 15) (dual of [(1594322, 5), 7971470, 16]-NRT-code) | [i] | ||
| 3 | Digital (125, 140, 1594322)-net over F3 | [i] | ||