Information on Result #1199732
Digital (48, 68, 3283)-net over F32, using net defined by OOA based on linear OOA(3268, 3283, F32, 22, 20) (dual of [(3283, 22), 72158, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(3268, 16416, F32, 2, 20) (dual of [(16416, 2), 32764, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3268, 16418, F32, 2, 20) (dual of [(16418, 2), 32768, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3210, 33, F32, 2, 10) (dual of [(33, 2), 56, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;56,32) [i]
- linear OOA(3258, 16385, F32, 2, 20) (dual of [(16385, 2), 32712, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3258, 32770, F32, 20) (dual of [32770, 32712, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3258, 32771, F32, 20) (dual of [32771, 32713, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(3258, 32768, F32, 20) (dual of [32768, 32710, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3255, 32768, F32, 19) (dual of [32768, 32713, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(3258, 32771, F32, 20) (dual of [32771, 32713, 21]-code), using
- OOA 2-folding [i] based on linear OA(3258, 32770, F32, 20) (dual of [32770, 32712, 21]-code), using
- linear OOA(3210, 33, F32, 2, 10) (dual of [(33, 2), 56, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3268, 16418, F32, 2, 20) (dual of [(16418, 2), 32768, 21]-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.