MinT - Information on Result #1203226

Information on Result #1203226

Digital (24, 33, 2097150)-net over F₁₂₈, using net defined by OOA based on linear OOA(128³³, 2097150, F₁₂₈, 9, 9) (dual of [(2097150, 9), 18874317, 10]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OA(128³³, 8388601, F₁₂₈, 9) (dual of [8388601, 8388568, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(128³³, large, F₁₂₈, 9) (dual of [large, large−33, 10]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 15790321Â | 128⁸âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (BCH-bound) [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 (25, 34, 2097150)-net over F₁₂₈	[i]	Net Duplication
2	Digital (26, 35, 2097150)-net over F₁₂₈	[i]
3	Digital (27, 36, 2097150)-net over F₁₂₈	[i]
4	Digital (24, 32, 2097150)-net over F₁₂₈	[i]	m-Reduction
5	Digital (28, 37, 2097279)-net over F₁₂₈	[i]	(u,Â u+v)-Construction for Nets
6	Digital (29, 38, 2097300)-net over F₁₂₈	[i]
7	Digital (30, 39, 2105278)-net over F₁₂₈	[i]
8	Digital (31, 40, 2105343)-net over F₁₂₈	[i]
9	Digital (32, 41, 2113662)-net over F₁₂₈	[i]
10	Digital (33, 42, 2113683)-net over F₁₂₈	[i]
11	Digital (34, 43, 3145727)-net over F₁₂₈	[i]
12	Digital (35, 44, 3145730)-net over F₁₂₈	[i]
13	Digital (36, 45, 3145856)-net over F₁₂₈	[i]