Information on Result #697808
Linear OA(32104, 1077, F32, 44) (dual of [1077, 973, 45]-code), using construction X applied to Ce(43) ⊂ Ce(25) based on
- linear OA(3284, 1024, F32, 44) (dual of [1024, 940, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3251, 1024, F32, 26) (dual of [1024, 973, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3220, 53, F32, 17) (dual of [53, 33, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3220, 63, F32, 17) (dual of [63, 43, 18]-code), using
- algebraic-geometric code AG(F,45P) [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(3220, 63, F32, 17) (dual of [63, 43, 18]-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.