Information on Result #2266670
Linear OA(3187, 2240, F3, 37) (dual of [2240, 2053, 38]-code), using 2 times code embedding in larger space based on linear OA(3185, 2238, F3, 37) (dual of [2238, 2053, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(28) [i] based on
- linear OA(3169, 2187, F3, 37) (dual of [2187, 2018, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3134, 2187, F3, 29) (dual of [2187, 2053, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(316, 51, F3, 7) (dual of [51, 35, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-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 OOA(3187, 560, F3, 4, 37) (dual of [(560, 4), 2053, 38]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3187, 448, F3, 5, 37) (dual of [(448, 5), 2053, 38]-NRT-code) | [i] | ||