Information on Result #695275
Linear OA(2785, 19719, F27, 26) (dual of [19719, 19634, 27]-code), using construction X applied to Ce(25) ⊂ Ce(16) 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(2749, 19683, F27, 17) (dual of [19683, 19634, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(279, 36, F27, 8) (dual of [36, 27, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(279, 38, F27, 8) (dual of [38, 29, 9]-code), using
- extended algebraic-geometric code AGe(F,29P) [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(279, 38, F27, 8) (dual of [38, 29, 9]-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(2785, 9859, F27, 2, 26) (dual of [(9859, 2), 19633, 27]-NRT-code) | [i] | OOA Folding | |