Information on Result #1821995
OA(27100, 19787, S27, 28), using (u, u+v)-construction based on
- OA(2720, 100, S27, 14), using
- discarding parts of the base [i] based on linear OA(8115, 100, F81, 14) (dual of [100, 85, 15]-code), using
- extended algebraic-geometric code AGe(F,85P) [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(8115, 100, F81, 14) (dual of [100, 85, 15]-code), using
- linear OA(2780, 19687, F27, 28) (dual of [19687, 19607, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 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(271, 4, F27, 1) (dual of [4, 3, 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(27) ⊂ Ce(25) [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.