Information on Result #695101
Linear OA(2722, 19686, F27, 8) (dual of [19686, 19664, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
- linear OA(2722, 19683, F27, 8) (dual of [19683, 19661, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- 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(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(933, 19686, S9, 8) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(2726, 19714, F27, 8) (dual of [19714, 19688, 9]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2727, 19724, F27, 8) (dual of [19724, 19697, 9]-code) | [i] | ||
| 4 | Linear OA(2728, 20388, F27, 8) (dual of [20388, 20360, 9]-code) | [i] | ||
| 5 | Linear OOA(2722, 9843, F27, 2, 8) (dual of [(9843, 2), 19664, 9]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2722, 4921, F27, 8, 8) (dual of [(4921, 8), 39346, 9]-NRT-code) | [i] | OA Folding and Stacking | |