Information on Result #695062
Linear OA(2787, 19734, F27, 25) (dual of [19734, 19647, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,6]) based on
- linear OA(2773, 19684, F27, 25) (dual of [19684, 19611, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2737, 19684, F27, 13) (dual of [19684, 19647, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(2714, 50, F27, 11) (dual of [50, 36, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2714, 52, F27, 11) (dual of [52, 38, 12]-code), using
- extended algebraic-geometric code AGe(F,40P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2714, 52, F27, 11) (dual of [52, 38, 12]-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, 9867, F27, 2, 25) (dual of [(9867, 2), 19647, 26]-NRT-code) | [i] | OOA Folding | |