Information on Result #737053
Linear OA(3228, 2225, F3, 47) (dual of [2225, 1997, 48]-code), using construction X applied to Ce(46) ⊂ Ce(40) based on
- linear OA(3218, 2187, F3, 47) (dual of [2187, 1969, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3190, 2187, F3, 41) (dual of [2187, 1997, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(3230, 2227, F3, 47) (dual of [2227, 1997, 48]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3229, 2227, F3, 47) (dual of [2227, 1998, 48]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(3230, 2229, F3, 47) (dual of [2229, 1999, 48]-code) | [i] | ||
| 4 | Linear OOA(3228, 1112, F3, 2, 47) (dual of [(1112, 2), 1996, 48]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3228, 556, F3, 4, 47) (dual of [(556, 4), 1996, 48]-NRT-code) | [i] | ||
| 6 | Linear OOA(3228, 445, F3, 5, 47) (dual of [(445, 5), 1997, 48]-NRT-code) | [i] | ||