Information on Result #697741
Linear OA(3295, 1066, F32, 42) (dual of [1066, 971, 43]-code), using construction X applied to Ce(41) ⊂ Ce(26) based on
- linear OA(3280, 1024, F32, 42) (dual of [1024, 944, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3253, 1024, F32, 27) (dual of [1024, 971, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(3215, 42, F32, 14) (dual of [42, 27, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3215, 43, F32, 14) (dual of [43, 28, 15]-code), using
- algebraic-geometric code AG(F,28P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- discarding factors / shortening the dual code based on linear OA(3215, 43, F32, 14) (dual of [43, 28, 15]-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.