Information on Result #694975
Linear OA(2714, 19691, F27, 5) (dual of [19691, 19677, 6]-code), using construction X applied to C([0,2]) ⊂ C([0,1]) based on
- linear OA(2713, 19684, F27, 5) (dual of [19684, 19671, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(277, 19684, F27, 3) (dual of [19684, 19677, 4]-code or 19684-cap in PG(6,27)), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,1], and minimum distance d ≥ |{−1,0,1}|+1 = 4 (BCH-bound) [i]
- linear OA(271, 7, F27, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2714, 9845, F27, 5, 5) (dual of [(9845, 5), 49211, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |