Information on Result #695023
Linear OA(2775, 19716, F27, 23) (dual of [19716, 19641, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,7]) 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(2743, 19684, F27, 15) (dual of [19684, 19641, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(2775, 9858, F27, 2, 23) (dual of [(9858, 2), 19641, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2775, 1792, F27, 23, 23) (dual of [(1792, 23), 41141, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |