Information on Result #1822048
OA(27102, 531550, S27, 22), using (u, u+v)-construction based on
- OA(2716, 100, S27, 11), using
- discarding parts of the base [i] based on linear OA(8112, 100, F81, 11) (dual of [100, 88, 12]-code), using
- extended algebraic-geometric code AGe(F,88P) [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(8112, 100, F81, 11) (dual of [100, 88, 12]-code), using
- linear OA(2786, 531450, F27, 22) (dual of [531450, 531364, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(2785, 531441, F27, 22) (dual of [531441, 531356, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(271, 9, F27, 1) (dual of [9, 8, 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(21) ⊂ 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.