Information on Result #612328
Linear OA(3249, 6561, F3, 47) (dual of [6561, 6312, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47
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(3249, 3712, F3, 2, 47) (dual of [(3712, 2), 7175, 48]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3249, 3712, F3, 3, 47) (dual of [(3712, 3), 10887, 48]-NRT-code) | [i] | ||
| 3 | Linear OOA(3249, 3712, F3, 4, 47) (dual of [(3712, 4), 14599, 48]-NRT-code) | [i] | ||
| 4 | Linear OOA(3249, 3712, F3, 5, 47) (dual of [(3712, 5), 18311, 48]-NRT-code) | [i] | ||
| 5 | Digital (202, 249, 3712)-net over F3 | [i] | ||
| 6 | Linear OA(3249, 6569, F3, 47) (dual of [6569, 6320, 48]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |