Information on Result #696477
Linear OA(2723, 109, F27, 13) (dual of [109, 86, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) 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(2719, 105, F27, 11) (dual of [105, 86, 12]-code), using an extension Ce(10) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(271, 4, F27, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-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(2775, 837, F27, 27) (dual of [837, 762, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(27101, 19791, F27, 27) (dual of [19791, 19690, 28]-code) | [i] | ||
| 3 | Linear OA(2774, 841, F27, 26) (dual of [841, 767, 27]-code) | [i] | ||
| 4 | Linear OA(2799, 19795, F27, 26) (dual of [19795, 19696, 27]-code) | [i] | ||
| 5 | Linear OOA(2723, 54, F27, 2, 13) (dual of [(54, 2), 85, 14]-NRT-code) | [i] | OOA Folding | |