Information on Result #1199524
Digital (24, 41, 136)-net over F32, using net defined by OOA based on linear OOA(3241, 136, F32, 18, 17) (dual of [(136, 18), 2407, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3241, 545, F32, 2, 17) (dual of [(545, 2), 1049, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3241, 546, F32, 2, 17) (dual of [(546, 2), 1051, 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(3233, 513, F32, 2, 17) (dual of [(513, 2), 993, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3233, 1026, F32, 17) (dual of [1026, 993, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(3233, 1024, F32, 17) (dual of [1024, 991, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3231, 1024, F32, 16) (dual of [1024, 993, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 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
- OOA 2-folding [i] based on linear OA(3233, 1026, F32, 17) (dual of [1026, 993, 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(3241, 546, F32, 2, 17) (dual of [(546, 2), 1051, 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.