Information on Result #695067
Linear OA(2797, 19686, F27, 34) (dual of [19686, 19589, 35]-code), using construction X applied to Ce(33) ⊂ Ce(32) based on
- linear OA(2797, 19683, F27, 34) (dual of [19683, 19586, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2794, 19683, F27, 33) (dual of [19683, 19589, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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 | OA(9146, 19686, S9, 34) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(2797, 9843, F27, 2, 34) (dual of [(9843, 2), 19589, 35]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2797, 1158, F27, 34, 34) (dual of [(1158, 34), 39275, 35]-NRT-code) | [i] | OA Folding and Stacking | |