Information on Result #1822008
OA(2797, 19806, S27, 26), using (u, u+v)-construction based on
- OA(2720, 116, S27, 13), using
- discarding parts of the base [i] based on linear OA(8115, 116, F81, 13) (dual of [116, 101, 14]-code), using
- extended algebraic-geometric code AGe(F,102P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- discarding parts of the base [i] based on linear OA(8115, 116, F81, 13) (dual of [116, 101, 14]-code), using
- linear OA(2777, 19690, F27, 26) (dual of [19690, 19613, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] 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(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(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(25) ⊂ Ce(23) [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.