Information on Result #696469
Linear OA(2715, 106, F27, 9) (dual of [106, 91, 10]-code), using construction X applied to Ce(8) ⊂ Ce(7) based on
- 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(2714, 105, F27, 8) (dual of [105, 91, 9]-code), using an extension Ce(7) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(270, 1, F27, 0) (dual of [1, 1, 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(2752, 838, F27, 19) (dual of [838, 786, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2770, 19792, F27, 19) (dual of [19792, 19722, 20]-code) | [i] | ||
| 3 | Linear OA(2788, 531551, F27, 19) (dual of [531551, 531463, 20]-code) | [i] | ||
| 4 | Linear OA(2750, 838, F27, 18) (dual of [838, 788, 19]-code) | [i] | ||
| 5 | Linear OA(2767, 19792, F27, 18) (dual of [19792, 19725, 19]-code) | [i] | ||
| 6 | Linear OA(2784, 531551, F27, 18) (dual of [531551, 531467, 19]-code) | [i] | ||
| 7 | Linear OOA(2715, 53, F27, 2, 9) (dual of [(53, 2), 91, 10]-NRT-code) | [i] | OOA Folding | |