Information on Result #675804
Linear OA(3233, 2216, F3, 49) (dual of [2216, 1983, 50]-code), using construction X applied to C([0,24]) ⊂ C([0,21]) based on
- linear OA(3225, 2188, F3, 49) (dual of [2188, 1963, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(3197, 2188, F3, 43) (dual of [2188, 1991, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
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(3233, 2037, F3, 2, 49) (dual of [(2037, 2), 3841, 50]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3233, 2037, F3, 3, 49) (dual of [(2037, 3), 5878, 50]-NRT-code) | [i] | ||
| 3 | Linear OOA(3233, 2037, F3, 4, 49) (dual of [(2037, 4), 7915, 50]-NRT-code) | [i] | ||
| 4 | Linear OOA(3233, 2037, F3, 5, 49) (dual of [(2037, 5), 9952, 50]-NRT-code) | [i] | ||
| 5 | Digital (184, 233, 2037)-net over F3 | [i] | ||
| 6 | Linear OOA(3233, 1108, F3, 2, 49) (dual of [(1108, 2), 1983, 50]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3233, 554, F3, 4, 49) (dual of [(554, 4), 1983, 50]-NRT-code) | [i] | ||
| 8 | Linear OOA(3233, 443, F3, 5, 49) (dual of [(443, 5), 1982, 50]-NRT-code) | [i] | ||