Information on Result #668760
Linear OA(3295, 1048643, F32, 21) (dual of [1048643, 1048548, 22]-code), using (u, u+v)-construction based on
- linear OA(3214, 66, F32, 10) (dual of [66, 52, 11]-code), using
- construction X applied to AG(F,52P) ⊂ AG(F,54P) [i] based on
- linear OA(3213, 63, F32, 10) (dual of [63, 50, 11]-code), using algebraic-geometric code AG(F,52P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3211, 63, F32, 8) (dual of [63, 52, 9]-code), using algebraic-geometric code AG(F,54P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,52P) ⊂ AG(F,54P) [i] based on
- linear OA(3281, 1048577, F32, 21) (dual of [1048577, 1048496, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [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.