Information on Result #668701
Linear OA(32106, 1048655, F32, 23) (dual of [1048655, 1048549, 24]-code), using (u, u+v)-construction based on
- linear OA(3217, 78, F32, 11) (dual of [78, 61, 12]-code), using
- construction X applied to AG(F,63P) ⊂ AG(F,65P) [i] based on
- linear OA(3216, 75, F32, 11) (dual of [75, 59, 12]-code), using algebraic-geometric code AG(F,63P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- linear OA(3214, 75, F32, 9) (dual of [75, 61, 10]-code), using algebraic-geometric code AG(F,65P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76 (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,63P) ⊂ AG(F,65P) [i] based on
- linear OA(3289, 1048577, F32, 23) (dual of [1048577, 1048488, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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.