Information on Result #695017
Linear OA(2787, 19716, F27, 27) (dual of [19716, 19629, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,9]) based on
- linear OA(2779, 19684, F27, 27) (dual of [19684, 19605, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(2755, 19684, F27, 19) (dual of [19684, 19629, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(278, 32, F27, 7) (dual of [32, 24, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(278, 38, F27, 7) (dual of [38, 30, 8]-code), using
- extended algebraic-geometric code AGe(F,30P) [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(278, 38, F27, 7) (dual of [38, 30, 8]-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(2787, 9858, F27, 2, 27) (dual of [(9858, 2), 19629, 28]-NRT-code) | [i] | OOA Folding | |