Information on Result #697821
Linear OA(32101, 1080, F32, 42) (dual of [1080, 979, 43]-code), using construction X applied to Ce(41) ⊂ Ce(22) based on
- linear OA(3280, 1024, F32, 42) (dual of [1024, 944, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3245, 1024, F32, 23) (dual of [1024, 979, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3221, 56, F32, 18) (dual of [56, 35, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3221, 63, F32, 18) (dual of [63, 42, 19]-code), using
- algebraic-geometric code AG(F,44P) [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(3221, 63, F32, 18) (dual of [63, 42, 19]-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.