Information on Result #1304980
Linear OA(3159, 771, F3, 39) (dual of [771, 612, 40]-code), using 37 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 0, 0, 0, 1, 6 times 0, 1, 9 times 0, 1, 13 times 0) based on linear OA(3153, 728, F3, 39) (dual of [728, 575, 40]-code), using
- the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
Mode: 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(3159, 766, F3, 2, 39) (dual of [(766, 2), 1373, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3159, 766, F3, 3, 39) (dual of [(766, 3), 2139, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(3159, 766, F3, 4, 39) (dual of [(766, 4), 2905, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(3159, 766, F3, 5, 39) (dual of [(766, 5), 3671, 40]-NRT-code) | [i] | ||
| 5 | Digital (120, 159, 766)-net over F3 | [i] | ||