Information on Result #694729
Linear OA(2734, 531451, F27, 9) (dual of [531451, 531417, 10]-code), using construction X applied to C([0,4]) ⊂ C([0,3]) based on
- linear OA(2733, 531442, F27, 9) (dual of [531442, 531409, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(2725, 531442, F27, 7) (dual of [531442, 531417, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(271, 9, F27, 1) (dual of [9, 8, 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(2734, 132862, F27, 9, 9) (dual of [(132862, 9), 1195724, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |