Information on Result #695307
Linear OA(2785, 19728, F27, 25) (dual of [19728, 19643, 26]-code), using construction X applied to Ce(24) ⊂ Ce(13) based on
- linear OA(2773, 19683, F27, 25) (dual of [19683, 19610, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2740, 19683, F27, 14) (dual of [19683, 19643, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2712, 45, F27, 10) (dual of [45, 33, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2712, 48, F27, 10) (dual of [48, 36, 11]-code), using
- extended algebraic-geometric code AGe(F,37P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OA(2712, 48, F27, 10) (dual of [48, 36, 11]-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(2785, 9864, F27, 2, 25) (dual of [(9864, 2), 19643, 26]-NRT-code) | [i] | OOA Folding | |