Information on Result #865926
Linear OOA(2780, 9860, F27, 2, 24) (dual of [(9860, 2), 19640, 25]-NRT-code), using OOA 2-folding based on linear OA(2780, 19720, F27, 24) (dual of [19720, 19640, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2780, 19721, F27, 24) (dual of [19721, 19641, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(13) [i] based on
- 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(2740, 19683, F27, 14) (dual of [19683, 19643, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2710, 38, F27, 9) (dual of [38, 28, 10]-code), using
- extended algebraic-geometric code AGe(F,28P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- construction X applied to Ce(23) ⊂ Ce(13) [i] based on
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
None.