Information on Result #697781
Linear OA(3283, 1070, F32, 35) (dual of [1070, 987, 36]-code), using construction X applied to Ce(34) ⊂ Ce(18) based on
- linear OA(3266, 1024, F32, 35) (dual of [1024, 958, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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(3217, 46, F32, 15) (dual of [46, 29, 16]-code), using
- construction X applied to AG(F,27P) ⊂ AG(F,29P) [i] based on
- linear OA(3216, 43, F32, 15) (dual of [43, 27, 16]-code), using algebraic-geometric code AG(F,27P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(3214, 43, F32, 13) (dual of [43, 29, 14]-code), using algebraic-geometric code AG(F,29P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,27P) ⊂ AG(F,29P) [i] based on
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.