Information on Result #695288
Linear OA(2797, 19725, F27, 30) (dual of [19725, 19628, 31]-code), using construction X applied to Ce(29) ⊂ Ce(18) based on
- linear OA(2785, 19683, F27, 30) (dual of [19683, 19598, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2755, 19683, F27, 19) (dual of [19683, 19628, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2712, 42, F27, 10) (dual of [42, 30, 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(2797, 9862, F27, 2, 30) (dual of [(9862, 2), 19627, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2797, 1315, F27, 30, 30) (dual of [(1315, 30), 39353, 31]-NRT-code) | [i] | OA Folding and Stacking | |