Information on Result #697835
Linear OA(32105, 1086, F32, 43) (dual of [1086, 981, 44]-code), using construction X applied to Ce(42) ⊂ Ce(21) based on
- linear OA(3282, 1024, F32, 43) (dual of [1024, 942, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3243, 1024, F32, 22) (dual of [1024, 981, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3223, 62, F32, 20) (dual of [62, 39, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3223, 63, F32, 20) (dual of [63, 40, 21]-code), using
- algebraic-geometric code AG(F,42P) [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(3223, 63, F32, 20) (dual of [63, 40, 21]-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.