Information on Result #695109
Linear OA(27110, 19690, F27, 38) (dual of [19690, 19580, 39]-code), using construction X applied to Ce(37) ⊂ Ce(35) based on
- linear OA(27109, 19683, F27, 38) (dual of [19683, 19574, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(27103, 19683, F27, 36) (dual of [19683, 19580, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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(27110, 11829, F27, 2, 38) (dual of [(11829, 2), 23548, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (72, 110, 11829)-net over F27 | [i] | ||
| 3 | Linear OOA(27110, 9845, F27, 2, 38) (dual of [(9845, 2), 19580, 39]-NRT-code) | [i] | OOA Folding | |