Information on Result #814590
Linear OOA(3162, 9841, F3, 2, 27) (dual of [(9841, 2), 19520, 28]-NRT-code), using OOA 2-folding based on linear OA(3162, 19682, F3, 27) (dual of [19682, 19520, 28]-code), using
- 1 times truncation [i] based on linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(3162, 7410, F3, 3, 27) (dual of [(7410, 3), 22068, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(3162, 7410, F3, 4, 27) (dual of [(7410, 4), 29478, 28]-NRT-code) | [i] | ||
3 | Linear OOA(3162, 7410, F3, 5, 27) (dual of [(7410, 5), 36888, 28]-NRT-code) | [i] | ||
4 | Digital (135, 162, 7410)-net over F3 | [i] |