Information on Result #816259
Linear OOA(3209, 3280, F3, 2, 40) (dual of [(3280, 2), 6351, 41]-NRT-code), using OOA 2-folding based on linear OA(3209, 6560, F3, 40) (dual of [6560, 6351, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(3209, 6561, F3, 40) (dual of [6561, 6352, 41]-code), using
- an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [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(3209, 3280, F3, 3, 40) (dual of [(3280, 3), 9631, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3209, 3280, F3, 4, 40) (dual of [(3280, 4), 12911, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(3209, 3280, F3, 5, 40) (dual of [(3280, 5), 16191, 41]-NRT-code) | [i] | ||
| 4 | Digital (169, 209, 3280)-net over F3 | [i] | ||