Information on Result #733631
Linear OA(2723, 20416, F27, 7) (dual of [20416, 20393, 8]-code), using (u, u+v)-construction based on
- linear OA(274, 730, F27, 3) (dual of [730, 726, 4]-code or 730-cap in PG(3,27)), using
- 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
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(2723, 10208, F27, 2, 7) (dual of [(10208, 2), 20393, 8]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2723, 6805, F27, 7, 7) (dual of [(6805, 7), 47612, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |