Information on Result #737086
Linear OA(3197, 2236, F3, 39) (dual of [2236, 2039, 40]-code), using construction X applied to Ce(39) ⊂ Ce(31) based on
- linear OA(3183, 2187, F3, 40) (dual of [2187, 2004, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [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(314, 49, F3, 6) (dual of [49, 35, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-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(3197, 1118, F3, 2, 39) (dual of [(1118, 2), 2039, 40]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3197, 745, F3, 3, 39) (dual of [(745, 3), 2038, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(3197, 559, F3, 4, 39) (dual of [(559, 4), 2039, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(3197, 447, F3, 5, 39) (dual of [(447, 5), 2038, 40]-NRT-code) | [i] | ||