Information on Result #697815
Linear OA(3290, 1077, F32, 37) (dual of [1077, 987, 38]-code), using construction X applied to Ce(36) ⊂ Ce(18) based on
- linear OA(3270, 1024, F32, 37) (dual of [1024, 954, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3237, 1024, F32, 19) (dual of [1024, 987, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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.