MinT - Information on Result #1179720

Information on Result #1179720

Digital (12, 17, 4194301)-net over F₁₂₈, using net defined by OOA based on linear OOA(128¹⁷, 4194301, F₁₂₈, 5, 5) (dual of [(4194301, 5), 20971488, 6]-NRT-code), using

appending kth column [i] based on linear OOA(128¹⁷, 4194301, F₁₂₈, 4, 5) (dual of [(4194301, 4), 16777187, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(128¹⁷, large, F₁₂₈, 5) (dual of [large, large−17, 6]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 17895697Â | 128⁴âˆ’1, defining interval IÂ =Â [0,4], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 6 [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 (13, 18, 4194301)-net over F₁₂₈	[i]		Net Duplication
2	Digital (57, 67, 5452594)-net over F₁₂₈	[i]		(u,Â u+v)-Construction for Nets
3	Digital (58, 68, 5452600)-net over F₁₂₈	[i]
4	Digital (59, 69, 5469232)-net over F₁₂₈	[i]
5	Digital (60, 70, 6710880)-net over F₁₂₈	[i]
6	Digital (65, 75, 6711396)-net over F₁₂₈	[i]
7	Digital (66, 76, 7591756)-net over F₁₂₈	[i]
8	Digital (67, 77, 8388602)-net over F₁₂₈	[i]
9	Digital (60, 71, 5452594)-net over F₁₂₈	[i]
10	Digital (61, 72, 5452600)-net over F₁₂₈	[i]
11	Digital (62, 73, 5469232)-net over F₁₂₈	[i]
12	Digital (63, 74, 6710880)-net over F₁₂₈	[i]