Information on Result #695103
Linear OA(2719, 19686, F27, 7) (dual of [19686, 19667, 8]-code), using construction X applied to Ce(6) ⊂ Ce(5) based on
- linear OA(2719, 19683, F27, 7) (dual of [19683, 19664, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(2716, 19683, F27, 6) (dual of [19683, 19667, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(929, 19686, S9, 7) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(2722, 19714, F27, 7) (dual of [19714, 19692, 8]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2723, 20416, F27, 7) (dual of [20416, 20393, 8]-code) | [i] | ||
| 4 | Linear OA(2724, 21394, F27, 7) (dual of [21394, 21370, 8]-code) | [i] | ||
| 5 | Linear OOA(2719, 9843, F27, 2, 7) (dual of [(9843, 2), 19667, 8]-NRT-code) | [i] | OOA Folding | |