Information on Result #697823
Linear OA(3297, 1080, F32, 40) (dual of [1080, 983, 41]-code), using construction X applied to Ce(39) ⊂ Ce(20) based on
- linear OA(3276, 1024, F32, 40) (dual of [1024, 948, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3241, 1024, F32, 21) (dual of [1024, 983, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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.