Information on Result #1822055
OA(2796, 531545, S27, 21), using (u, u+v)-construction based on
- OA(2715, 100, S27, 10), using
- discarding parts of the base [i] based on linear OA(8111, 100, F81, 10) (dual of [100, 89, 11]-code), using
- extended algebraic-geometric code AGe(F,89P) [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(8111, 100, F81, 10) (dual of [100, 89, 11]-code), using
- linear OA(2781, 531445, F27, 21) (dual of [531445, 531364, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(2781, 531441, F27, 21) (dual of [531441, 531360, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2777, 531441, F27, 20) (dual of [531441, 531364, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(19) [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.