Information on Result #1822071
OA(2787, 531545, S27, 19), using (u, u+v)-construction based on
- OA(2714, 100, S27, 9), using
- discarding parts of the base [i] based on linear OA(8110, 100, F81, 9) (dual of [100, 90, 10]-code), using
- extended algebraic-geometric code AGe(F,90P) [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(8110, 100, F81, 9) (dual of [100, 90, 10]-code), using
- linear OA(2773, 531445, F27, 19) (dual of [531445, 531372, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(2773, 531441, F27, 19) (dual of [531441, 531368, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2769, 531441, F27, 18) (dual of [531441, 531372, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(18) ⊂ Ce(17) [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.