Information on Result #668316
Linear OA(32106, 1124, F32, 41) (dual of [1124, 1018, 42]-code), using (u, u+v)-construction based on
- linear OA(3228, 100, F32, 20) (dual of [100, 72, 21]-code), using
- construction X applied to AG(F,76P) ⊂ AG(F,78P) [i] based on
- linear OA(3227, 97, F32, 20) (dual of [97, 70, 21]-code), using algebraic-geometric code AG(F,76P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- linear OA(3225, 97, F32, 18) (dual of [97, 72, 19]-code), using algebraic-geometric code AG(F,78P) [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,76P) ⊂ AG(F,78P) [i] based on
- linear OA(3278, 1024, F32, 41) (dual of [1024, 946, 42]-code), using
- an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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.