Information on Result #668470
Linear OA(3280, 1091, F32, 31) (dual of [1091, 1011, 32]-code), using (u, u+v)-construction based on
- linear OA(3219, 66, F32, 15) (dual of [66, 47, 16]-code), using
- construction X applied to AG(F,47P) ⊂ AG(F,49P) [i] based on
- linear OA(3218, 63, F32, 15) (dual of [63, 45, 16]-code), using algebraic-geometric code AG(F,47P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3216, 63, F32, 13) (dual of [63, 47, 14]-code), using algebraic-geometric code AG(F,49P) [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,47P) ⊂ AG(F,49P) [i] based on
- linear OA(3261, 1025, F32, 31) (dual of [1025, 964, 32]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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.