Information on Result #733527
Linear OA(2753, 19742, F27, 15) (dual of [19742, 19689, 16]-code), using (u, u+v)-construction based on
- linear OA(2710, 56, F27, 7) (dual of [56, 46, 8]-code), using
- linear OA(2743, 19686, F27, 15) (dual of [19686, 19643, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(2743, 19683, F27, 15) (dual of [19683, 19640, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2740, 19683, F27, 14) (dual of [19683, 19643, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(14) ⊂ Ce(13) [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(2753, 9871, F27, 2, 15) (dual of [(9871, 2), 19689, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2753, 2820, F27, 15, 15) (dual of [(2820, 15), 42247, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |