Information on Result #668857
Linear OA(3261, 32835, F32, 17) (dual of [32835, 32774, 18]-code), using (u, u+v)-construction based on
- linear OA(3212, 66, F32, 8) (dual of [66, 54, 9]-code), using
- construction X applied to AG(F,54P) ⊂ AG(F,56P) [i] based on
- 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, using
- linear OA(329, 63, F32, 6) (dual of [63, 54, 7]-code), using algebraic-geometric code AG(F,56P) [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,54P) ⊂ AG(F,56P) [i] based on
- linear OA(3249, 32769, F32, 17) (dual of [32769, 32720, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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.