Information on Result #612310
Linear OA(3241, 6562, F3, 45) (dual of [6562, 6321, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound)
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(3241, 3845, F3, 2, 45) (dual of [(3845, 2), 7449, 46]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3241, 3845, F3, 3, 45) (dual of [(3845, 3), 11294, 46]-NRT-code) | [i] | ||
| 3 | Linear OOA(3241, 3845, F3, 4, 45) (dual of [(3845, 4), 15139, 46]-NRT-code) | [i] | ||
| 4 | Linear OOA(3241, 3845, F3, 5, 45) (dual of [(3845, 5), 18984, 46]-NRT-code) | [i] | ||
| 5 | Digital (196, 241, 3845)-net over F3 | [i] | ||
| 6 | Linear OA(3242, 6579, F3, 45) (dual of [6579, 6337, 46]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(3249, 6590, F3, 45) (dual of [6590, 6341, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(3249, 6602, F3, 44) (dual of [6602, 6353, 45]-code) | [i] | ✔ | |