Information on Result #695120
Linear OA(2777, 19690, F27, 26) (dual of [19690, 19613, 27]-code), using construction X applied to Ce(25) ⊂ Ce(23) based on
- linear OA(2776, 19683, F27, 26) (dual of [19683, 19607, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2770, 19683, F27, 24) (dual of [19683, 19613, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(271, 7, F27, 1) (dual of [7, 6, 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(2797, 19772, F27, 26) (dual of [19772, 19675, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2799, 19796, F27, 26) (dual of [19796, 19697, 27]-code) | [i] | ||
| 3 | OA(2797, 19806, S27, 26) | [i] | ||
| 4 | Linear OOA(2777, 12842, F27, 2, 26) (dual of [(12842, 2), 25607, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (51, 77, 12842)-net over F27 | [i] | ||
| 6 | Linear OOA(2777, 9845, F27, 2, 26) (dual of [(9845, 2), 19613, 27]-NRT-code) | [i] | OOA Folding | |