Information on Result #695258
Linear OA(2794, 19716, F27, 30) (dual of [19716, 19622, 31]-code), using construction X applied to Ce(29) ⊂ Ce(20) 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(2761, 19683, F27, 21) (dual of [19683, 19622, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(279, 33, F27, 8) (dual of [33, 24, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(279, 38, F27, 8) (dual of [38, 29, 9]-code), using
- extended algebraic-geometric code AGe(F,29P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(279, 38, F27, 8) (dual of [38, 29, 9]-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(2794, 19716, F27, 2, 30) (dual of [(19716, 2), 39338, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (64, 94, 19716)-net over F27 | [i] | ||
| 3 | Linear OOA(2794, 9858, F27, 2, 30) (dual of [(9858, 2), 19622, 31]-NRT-code) | [i] | OOA Folding | |