Information on Result #696468
Linear OA(2717, 107, F27, 10) (dual of [107, 90, 11]-code), using construction X applied to Ce(9) ⊂ Ce(8) based on
- linear OA(2717, 105, F27, 10) (dual of [105, 88, 11]-code), using an extension Ce(9) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2715, 105, F27, 9) (dual of [105, 90, 10]-code), using an extension Ce(8) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 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 | Linear OA(2758, 839, F27, 21) (dual of [839, 781, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2778, 19793, F27, 21) (dual of [19793, 19715, 22]-code) | [i] | ||
| 3 | Linear OA(2798, 531552, F27, 21) (dual of [531552, 531454, 22]-code) | [i] | ||
| 4 | Linear OA(2756, 839, F27, 20) (dual of [839, 783, 21]-code) | [i] | ||
| 5 | Linear OA(2775, 19793, F27, 20) (dual of [19793, 19718, 21]-code) | [i] | ||
| 6 | Linear OA(2794, 531552, F27, 20) (dual of [531552, 531458, 21]-code) | [i] | ||
| 7 | Linear OOA(2717, 53, F27, 2, 10) (dual of [(53, 2), 89, 11]-NRT-code) | [i] | OOA Folding | |