Information on Result #695112
Linear OA(27101, 19690, F27, 35) (dual of [19690, 19589, 36]-code), using construction X applied to Ce(34) ⊂ Ce(32) based on
- linear OA(27100, 19683, F27, 35) (dual of [19683, 19583, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2794, 19683, F27, 33) (dual of [19683, 19589, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(27101, 10995, F27, 2, 35) (dual of [(10995, 2), 21889, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (66, 101, 10995)-net over F27 | [i] | ||
| 3 | Linear OOA(27101, 9845, F27, 2, 35) (dual of [(9845, 2), 19589, 36]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(27101, 1158, F27, 35, 35) (dual of [(1158, 35), 40429, 36]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |