Information on Result #661883
Linear OA(3229, 6582, F3, 40) (dual of [6582, 6353, 41]-code), using (u, u+v)-construction based on
- linear OA(320, 21, F3, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,3)), using
- dual of repetition code with length 21 [i]
- 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(3229, 5440, F3, 2, 40) (dual of [(5440, 2), 10651, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3229, 5440, F3, 3, 40) (dual of [(5440, 3), 16091, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(3229, 5440, F3, 4, 40) (dual of [(5440, 4), 21531, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(3229, 5440, F3, 5, 40) (dual of [(5440, 5), 26971, 41]-NRT-code) | [i] | ||
| 5 | Digital (189, 229, 5440)-net over F3 | [i] | ||