Information on Result #900419
Linear OOA(2724, 11551, F27, 2, 7) (dual of [(11551, 2), 23078, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(275, 1708, F27, 2, 3) (dual of [(1708, 2), 3411, 4]-NRT-code), using
- linear OOA(2719, 9843, F27, 2, 7) (dual of [(9843, 2), 19667, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2719, 19686, F27, 7) (dual of [19686, 19667, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] 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
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- OOA 2-folding [i] based on linear OA(2719, 19686, F27, 7) (dual of [19686, 19667, 8]-code), 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(2790, 4205852, F27, 2, 14) (dual of [(4205852, 2), 8411614, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2795, 4205852, F27, 2, 15) (dual of [(4205852, 2), 8411609, 16]-NRT-code) | [i] | ||