Information on Result #661947
Linear OA(3159, 6576, F3, 28) (dual of [6576, 6417, 29]-code), using (u, u+v)-construction based on
- linear OA(314, 15, F3, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,3)), using
- dual of repetition code with length 15 [i]
- linear OA(3145, 6561, F3, 28) (dual of [6561, 6416, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, 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(3159, 4160, F3, 2, 28) (dual of [(4160, 2), 8161, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3159, 4160, F3, 3, 28) (dual of [(4160, 3), 12321, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(3159, 4160, F3, 4, 28) (dual of [(4160, 4), 16481, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(3159, 4160, F3, 5, 28) (dual of [(4160, 5), 20641, 29]-NRT-code) | [i] | ||
| 5 | Digital (131, 159, 4160)-net over F3 | [i] | ||