Information on Result #737034
Linear OA(3221, 2226, F3, 45) (dual of [2226, 2005, 46]-code), using construction X applied to C([0,22]) ⊂ C([0,19]) based on
- linear OA(3211, 2188, F3, 45) (dual of [2188, 1977, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(3183, 2188, F3, 39) (dual of [2188, 2005, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(310, 38, F3, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-code), using
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 OA(3223, 2228, F3, 45) (dual of [2228, 2005, 46]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3224, 2229, F3, 45) (dual of [2229, 2005, 46]-code) | [i] | ||
| 3 | Linear OOA(3221, 1113, F3, 2, 45) (dual of [(1113, 2), 2005, 46]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3221, 742, F3, 3, 45) (dual of [(742, 3), 2005, 46]-NRT-code) | [i] | ||
| 5 | Linear OOA(3221, 445, F3, 5, 45) (dual of [(445, 5), 2004, 46]-NRT-code) | [i] | ||