Information on Result #661936
Linear OA(3167, 6576, F3, 29) (dual of [6576, 6409, 30]-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(3153, 6561, F3, 29) (dual of [6561, 6408, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(3167, 4660, F3, 2, 29) (dual of [(4660, 2), 9153, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3167, 4660, F3, 3, 29) (dual of [(4660, 3), 13813, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(3167, 4660, F3, 4, 29) (dual of [(4660, 4), 18473, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(3167, 4660, F3, 5, 29) (dual of [(4660, 5), 23133, 30]-NRT-code) | [i] | ||
| 5 | Digital (138, 167, 4660)-net over F3 | [i] | ||