MinT - Information on Result #1195792

Information on Result #1195792

Digital (5, 9, 976)-net over F₂₅, using net defined by OOA based on linear OOA(25⁹, 976, F₂₅, 4, 4) (dual of [(976, 4), 3895, 5]-NRT-code), using

OA 2-folding and stacking [i] based on linear OA(25⁹, 1952, F₂₅, 4) (dual of [1952, 1943, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(25⁹, 1953, F₂₅, 4) (dual of [1953, 1944, 5]-code), using
  - the BCH-code C(I) with length 1953Â | 25³âˆ’1, defining interval IÂ =Â {1,9,17,25}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [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 (37, 45, 2098126)-net over F₂₅	[i]		(u,Â u+v)-Construction for Nets
2	Digital (41, 50, 2098126)-net over F₂₅	[i]		(u,Â u+v)-Construction for Nets
3	Digital (96, 110, 2398344)-net over F₂₅	[i]		Generalized (u,Â u+v)-Construction for Nets
4	Digital (87, 100, 2797802)-net over F₂₅	[i]
5	Digital (88, 101, 2798152)-net over F₂₅	[i]
6	Digital (83, 95, 2797802)-net over F₂₅	[i]
7	Digital (84, 96, 2798152)-net over F₂₅	[i]
8	Digital (92, 106, 2397718)-net over F₂₅	[i]
9	Digital (83, 96, 2797176)-net over F₂₅	[i]
10	Digital (79, 91, 2797176)-net over F₂₅	[i]