Information on Result #733413
Linear OA(2773, 19754, F27, 20) (dual of [19754, 19681, 21]-code), using (u, u+v)-construction based on
- linear OA(2715, 68, F27, 10) (dual of [68, 53, 11]-code), using
- extended algebraic-geometric code AGe(F,57P) [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, using
- linear OA(2758, 19686, F27, 20) (dual of [19686, 19628, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(2758, 19683, F27, 20) (dual of [19683, 19625, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
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(2773, 9877, F27, 2, 20) (dual of [(9877, 2), 19681, 21]-NRT-code) | [i] | OOA Folding | |