Information on Result #737058
Linear OA(3186, 2225, F3, 38) (dual of [2225, 2039, 39]-code), using construction X applied to Ce(37) ⊂ Ce(31) based on
- linear OA(3176, 2187, F3, 38) (dual of [2187, 2011, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3148, 2187, F3, 32) (dual of [2187, 2039, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [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(3188, 2227, F3, 38) (dual of [2227, 2039, 39]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3188, 2228, F3, 38) (dual of [2228, 2040, 39]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(3189, 2230, F3, 38) (dual of [2230, 2041, 39]-code) | [i] | ||
| 4 | Linear OOA(3186, 1112, F3, 2, 38) (dual of [(1112, 2), 2038, 39]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3186, 556, F3, 4, 38) (dual of [(556, 4), 2038, 39]-NRT-code) | [i] | ||
| 6 | Linear OOA(3186, 445, F3, 5, 38) (dual of [(445, 5), 2039, 39]-NRT-code) | [i] | ||