Information on Result #668583
Linear OA(32100, 32869, F32, 27) (dual of [32869, 32769, 28]-code), using (u, u+v)-construction based on
- linear OA(3221, 100, F32, 13) (dual of [100, 79, 14]-code), using
- construction X applied to AG(F,83P) ⊂ AG(F,85P) [i] based on
- linear OA(3220, 97, F32, 13) (dual of [97, 77, 14]-code), using algebraic-geometric code AG(F,83P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- linear OA(3218, 97, F32, 11) (dual of [97, 79, 12]-code), using algebraic-geometric code AG(F,85P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98 (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,83P) ⊂ AG(F,85P) [i] based on
- linear OA(3279, 32769, F32, 27) (dual of [32769, 32690, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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.