Information on Result #695128
Linear OA(2729, 19690, F27, 10) (dual of [19690, 19661, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) based on
- linear OA(2728, 19683, F27, 10) (dual of [19683, 19655, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2722, 19683, F27, 8) (dual of [19683, 19661, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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 OA(2736, 20393, F27, 10) (dual of [20393, 20357, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2729, 14804, F27, 2, 10) (dual of [(14804, 2), 29579, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (19, 29, 14804)-net over F27 | [i] | ||
| 4 | Linear OOA(2729, 9845, F27, 2, 10) (dual of [(9845, 2), 19661, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2729, 3938, F27, 10, 10) (dual of [(3938, 10), 39351, 11]-NRT-code) | [i] | OA Folding and Stacking | |