Information on Result #697754
Linear OA(32110, 1070, F32, 49) (dual of [1070, 960, 50]-code), using construction X applied to Ce(48) ⊂ Ce(33) based on
- linear OA(3294, 1024, F32, 49) (dual of [1024, 930, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(3264, 1024, F32, 34) (dual of [1024, 960, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3216, 46, F32, 14) (dual of [46, 30, 15]-code), using
- construction X applied to AG(F,28P) ⊂ AG(F,30P) [i] 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
- linear OA(3213, 43, F32, 12) (dual of [43, 30, 13]-code), using algebraic-geometric code AG(F,30P) [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,28P) ⊂ AG(F,30P) [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.