Information on Result #695122
Linear OA(2765, 19690, F27, 22) (dual of [19690, 19625, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- linear OA(2764, 19683, F27, 22) (dual of [19683, 19619, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2758, 19683, F27, 20) (dual of [19683, 19625, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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 | OA(2781, 19790, S27, 22) | [i] | (u, u+v)-Construction | |
| 2 | OA(2783, 19806, S27, 22) | [i] | ||
| 3 | Linear OOA(2765, 12144, F27, 2, 22) (dual of [(12144, 2), 24223, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (43, 65, 12144)-net over F27 | [i] | ||
| 5 | Linear OOA(2765, 9845, F27, 2, 22) (dual of [(9845, 2), 19625, 23]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2765, 1790, F27, 22, 22) (dual of [(1790, 22), 39315, 23]-NRT-code) | [i] | OA Folding and Stacking | |