MinT - Information on Result #1203794

Information on Result #1203794

Digital (18, 37, 1820)-net over F₁₂₈, using net defined by OOA based on linear OOA(128³⁷, 1820, F₁₂₈, 19, 19) (dual of [(1820, 19), 34543, 20]-NRT-code), using

OOA 9-folding and stacking with additional row [i] based on linear OA(128³⁷, 16381, F₁₂₈, 19) (dual of [16381, 16344, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(128³⁷, 16384, F₁₂₈, 19) (dual of [16384, 16347, 20]-code), using
  - an extension C_e(18) of the primitive narrow-sense BCH-code C(I) with length 16383Â = 128²âˆ’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 (27, 46, 1949)-net over F₁₂₈	[i]	(u,Â u+v)-Construction for Nets
2	Digital (28, 47, 1970)-net over F₁₂₈	[i]
3	Digital (30, 49, 2012)-net over F₁₂₈	[i]
4	Digital (31, 50, 2078)-net over F₁₂₈	[i]
5	Digital (32, 51, 2099)-net over F₁₂₈	[i]
6	Digital (33, 52, 2120)-net over F₁₂₈	[i]
7	Digital (34, 53, 2206)-net over F₁₂₈	[i]
8	Digital (34, 53, 2207)-net over F₁₂₈	[i]