MinT - Information on Result #1199970

Information on Result #1199970

Digital (48, 73, 2730)-net over F₃₂, using net defined by OOA based on linear OOA(32⁷³, 2730, F₃₂, 25, 25) (dual of [(2730, 25), 68177, 26]-NRT-code), using

OOA 12-folding and stacking with additional row [i] based on linear OA(32⁷³, 32761, F₃₂, 25) (dual of [32761, 32688, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(32⁷³, 32768, F₃₂, 25) (dual of [32768, 32695, 26]-code), using
  - an extension C_e(24) of the primitive narrow-sense BCH-code C(I) with length 32767Â = 32³âˆ’1, defining interval IÂ =Â [1,24], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 25 [i]

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

The following results depend on this result:

	Result		This result only	Method
1	Digital (60, 85, 2763)-net over F₃₂	[i]		(u,Â u+v)-Construction for Nets
2	Digital (61, 86, 2774)-net over F₃₂	[i]
3	Digital (63, 88, 2794)-net over F₃₂	[i]
4	Digital (65, 90, 2806)-net over F₃₂	[i]
5	Digital (67, 92, 2828)-net over F₃₂	[i]
6	Digital (69, 94, 2834)-net over F₃₂	[i]
7	Digital (70, 95, 2838)-net over F₃₂	[i]
8	Digital (71, 96, 2901)-net over F₃₂	[i]