Information on Result #695049
Linear OA(2778, 19725, F27, 23) (dual of [19725, 19647, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,6]) based on
- linear OA(2767, 19684, F27, 23) (dual of [19684, 19617, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(2711, 41, F27, 9) (dual of [41, 30, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2711, 48, F27, 9) (dual of [48, 37, 10]-code), using
- extended algebraic-geometric code AGe(F,38P) [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(2711, 48, F27, 9) (dual of [48, 37, 10]-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(2778, 9862, F27, 2, 23) (dual of [(9862, 2), 19646, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2778, 1793, F27, 23, 23) (dual of [(1793, 23), 41161, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |