Information on Result #1822090
OA(2759, 19790, S27, 16), using (u, u+v)-construction based on
- OA(2712, 100, S27, 8), using
- discarding parts of the base [i] based on linear OA(819, 100, F81, 8) (dual of [100, 91, 9]-code), using
- extended algebraic-geometric code AGe(F,91P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- discarding parts of the base [i] based on linear OA(819, 100, F81, 8) (dual of [100, 91, 9]-code), using
- linear OA(2747, 19690, F27, 16) (dual of [19690, 19643, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(2746, 19683, F27, 16) (dual of [19683, 19637, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(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
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
Mode: Constructive.
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.