Information on Result #695261
Linear OA(2784, 19715, F27, 26) (dual of [19715, 19631, 27]-code), using construction X applied to Ce(25) ⊂ Ce(17) 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(2752, 19683, F27, 18) (dual of [19683, 19631, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(278, 32, F27, 7) (dual of [32, 24, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(278, 38, F27, 7) (dual of [38, 30, 8]-code), using
- extended algebraic-geometric code AGe(F,30P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(278, 38, F27, 7) (dual of [38, 30, 8]-code), 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 OOA(2784, 9857, F27, 2, 26) (dual of [(9857, 2), 19630, 27]-NRT-code) | [i] | OOA Folding | |