Information on Result #815523
Linear OOA(3199, 9841, F3, 2, 34) (dual of [(9841, 2), 19483, 35]-NRT-code), using OOA 2-folding based on linear OA(3199, 19682, F3, 34) (dual of [19682, 19483, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(3199, 19683, F3, 34) (dual of [19683, 19484, 35]-code), using
- an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(3199, 6654, F3, 3, 34) (dual of [(6654, 3), 19763, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3199, 6654, F3, 4, 34) (dual of [(6654, 4), 26417, 35]-NRT-code) | [i] | ||
| 3 | Linear OOA(3199, 6654, F3, 5, 34) (dual of [(6654, 5), 33071, 35]-NRT-code) | [i] | ||
| 4 | Digital (165, 199, 6654)-net over F3 | [i] | ||