Information on Result #668511
Linear OA(3273, 1071, F32, 29) (dual of [1071, 998, 30]-code), using (u, u+v)-construction based on
- linear OA(3216, 46, F32, 14) (dual of [46, 30, 15]-code), using
- construction X applied to AG(F,28P) ⊂ AG(F,30P) [i] based on
- linear OA(3215, 43, F32, 14) (dual of [43, 28, 15]-code), using algebraic-geometric code AG(F,28P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(3213, 43, F32, 12) (dual of [43, 30, 13]-code), using algebraic-geometric code AG(F,30P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44 (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,28P) ⊂ AG(F,30P) [i] based on
- linear OA(3257, 1025, F32, 29) (dual of [1025, 968, 30]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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.