Information on Result #696465
Linear OA(2722, 106, F27, 13) (dual of [106, 84, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) based on
- linear OA(2722, 105, F27, 13) (dual of [105, 83, 14]-code), using an extension Ce(12) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2721, 105, F27, 12) (dual of [105, 84, 13]-code), using an extension Ce(11) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(2774, 834, F27, 27) (dual of [834, 760, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2775, 838, F27, 27) (dual of [838, 763, 28]-code) | [i] | ||
| 3 | Linear OA(27100, 19788, F27, 27) (dual of [19788, 19688, 28]-code) | [i] | ||
| 4 | Linear OA(27101, 19792, F27, 27) (dual of [19792, 19691, 28]-code) | [i] | ||
| 5 | Linear OA(2773, 838, F27, 26) (dual of [838, 765, 27]-code) | [i] | ||
| 6 | Linear OA(2798, 19792, F27, 26) (dual of [19792, 19694, 27]-code) | [i] | ||
| 7 | Linear OA(2799, 19796, F27, 26) (dual of [19796, 19697, 27]-code) | [i] | ||
| 8 | Linear OA(2723, 121, F27, 13) (dual of [121, 98, 14]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OOA(2722, 53, F27, 2, 13) (dual of [(53, 2), 84, 14]-NRT-code) | [i] | OOA Folding | |