Information on Result #697785
Linear OA(3281, 1072, F32, 33) (dual of [1072, 991, 34]-code), using construction X applied to Ce(32) ⊂ Ce(16) based on
- linear OA(3263, 1024, F32, 33) (dual of [1024, 961, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3233, 1024, F32, 17) (dual of [1024, 991, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3218, 48, F32, 15) (dual of [48, 30, 16]-code), using
- discarding factors / shortening the dual code 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
- discarding factors / shortening the dual code based on linear OA(3218, 63, F32, 15) (dual of [63, 45, 16]-code), using
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.