Information on Result #697833
Linear OA(32109, 1086, F32, 45) (dual of [1086, 977, 46]-code), using construction X applied to Ce(44) ⊂ Ce(23) based on
- linear OA(3286, 1024, F32, 45) (dual of [1024, 938, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3247, 1024, F32, 24) (dual of [1024, 977, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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.