Information on Result #667660
Linear OA(2734, 19721, F27, 10) (dual of [19721, 19687, 11]-code), using (u, u+v)-construction based on
- linear OA(276, 38, F27, 5) (dual of [38, 32, 6]-code), using
- extended algebraic-geometric code AGe(F,32P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OA(2728, 19683, F27, 10) (dual of [19683, 19655, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
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 OOA(2734, 3944, F27, 10, 10) (dual of [(3944, 10), 39406, 11]-NRT-code) | [i] | OA Folding and Stacking | |