Information on Result #865099
Linear OOA(2731, 9843, F27, 2, 11) (dual of [(9843, 2), 19655, 12]-NRT-code), using OOA 2-folding based on linear OA(2731, 19686, F27, 11) (dual of [19686, 19655, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(2731, 19683, F27, 11) (dual of [19683, 19652, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- 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(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-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(2736, 9871, F27, 2, 11) (dual of [(9871, 2), 19706, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2737, 9881, F27, 2, 11) (dual of [(9881, 2), 19725, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(2740, 10222, F27, 2, 11) (dual of [(10222, 2), 20404, 12]-NRT-code) | [i] | ||
| 4 | Digital (20, 31, 9843)-net over F27 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |