MinT - Information on Result #1199694

Information on Result #1199694

Digital (54, 73, 116508)-net over F₃₂, using net defined by OOA based on linear OOA(32⁷³, 116508, F₃₂, 19, 19) (dual of [(116508, 19), 2213579, 20]-NRT-code), using

OOA 9-folding and stacking with additional row [i] based on linear OA(32⁷³, 1048573, F₃₂, 19) (dual of [1048573, 1048500, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(32⁷³, 1048576, F₃₂, 19) (dual of [1048576, 1048503, 20]-code), using
  - an extension C_e(18) of the primitive narrow-sense BCH-code C(I) with length 1048575Â = 32⁴âˆ’1, defining interval IÂ =Â [1,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [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		Method
1	Digital (63, 82, 116541)-net over F₃₂	[i]	(u,Â u+v)-Construction for Nets
2	Digital (64, 83, 116552)-net over F₃₂	[i]
3	Digital (66, 85, 116572)-net over F₃₂	[i]
4	Digital (67, 86, 116574)-net over F₃₂	[i]
5	Digital (68, 87, 116585)-net over F₃₂	[i]
6	Digital (69, 88, 116596)-net over F₃₂	[i]
7	Digital (70, 89, 116606)-net over F₃₂	[i]
8	Digital (71, 90, 116764)-net over F₃₂	[i]
9	Digital (70, 89, 116607)-net over F₃₂	[i]