Information on Result #1199544
Digital (40, 57, 4104)-net over F32, using net defined by OOA based on linear OOA(3257, 4104, F32, 18, 17) (dual of [(4104, 18), 73815, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3257, 16417, F32, 2, 17) (dual of [(16417, 2), 32777, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3257, 16418, F32, 2, 17) (dual of [(16418, 2), 32779, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(328, 33, F32, 2, 8) (dual of [(33, 2), 58, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;58,32) [i]
- linear OOA(3249, 16385, F32, 2, 17) (dual of [(16385, 2), 32721, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3249, 32770, F32, 17) (dual of [32770, 32721, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3249, 32771, F32, 17) (dual of [32771, 32722, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(3249, 32768, F32, 17) (dual of [32768, 32719, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3246, 32768, F32, 16) (dual of [32768, 32722, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(3249, 32771, F32, 17) (dual of [32771, 32722, 18]-code), using
- OOA 2-folding [i] based on linear OA(3249, 32770, F32, 17) (dual of [32770, 32721, 18]-code), using
- linear OOA(328, 33, F32, 2, 8) (dual of [(33, 2), 58, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3257, 16418, F32, 2, 17) (dual of [(16418, 2), 32779, 18]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.