Information on Result #695063
Linear OA(27109, 19686, F27, 38) (dual of [19686, 19577, 39]-code), using construction X applied to Ce(37) ⊂ Ce(36) 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(27106, 19683, F27, 37) (dual of [19683, 19577, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(27109, 9843, F27, 2, 38) (dual of [(9843, 2), 19577, 39]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(27109, 1036, F27, 38, 38) (dual of [(1036, 38), 39259, 39]-NRT-code) | [i] | OA Folding and Stacking | |