Information on Result #670378
Linear OA(8171, 531559, F81, 20) (dual of [531559, 531488, 21]-code), using (u, u+v)-construction based on
- linear OA(8113, 118, F81, 10) (dual of [118, 105, 11]-code), using
- construction X applied to AG(F,104P) ⊂ AG(F,106P) [i] based on
- linear OA(8112, 115, F81, 10) (dual of [115, 103, 11]-code), using algebraic-geometric code AG(F,104P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(8110, 115, F81, 8) (dual of [115, 105, 9]-code), using algebraic-geometric code AG(F,106P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,104P) ⊂ AG(F,106P) [i] based on
- linear OA(8158, 531441, F81, 20) (dual of [531441, 531383, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
Mode: Constructive and linear.
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.