Information on Result #695001
Linear OA(2754, 19707, F27, 17) (dual of [19707, 19653, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,5]) based on
- linear OA(2749, 19684, F27, 17) (dual of [19684, 19635, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(2731, 19684, F27, 11) (dual of [19684, 19653, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(275, 23, F27, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,27)), using
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), using
- Reed–Solomon code RS(22,27) [i]
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), 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(2754, 19707, F27, 2, 17) (dual of [(19707, 2), 39360, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (37, 54, 19707)-net over F27 | [i] | ||
| 3 | Linear OOA(2754, 9853, F27, 2, 17) (dual of [(9853, 2), 19652, 18]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2754, 2463, F27, 17, 17) (dual of [(2463, 17), 41817, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |