MinT - Information on Result #1186576

Information on Result #1186576

Digital (128, 144, 1048575)-net over F₄, using net defined by OOA based on linear OOA(4¹⁴⁴, 1048575, F₄, 16, 16) (dual of [(1048575, 16), 16777056, 17]-NRT-code), using

OA 8-folding and stacking [i] based on linear OA(4¹⁴⁴, 8388600, F₄, 16) (dual of [8388600, 8388456, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4¹⁴⁴, large, F₄, 16) (dual of [large, large−144, 17]-code), using
  - the primitive narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [1,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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 (136, 152, 1048580)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
2	Digital (137, 153, 1048584)-net over F₄	[i]
3	Digital (138, 154, 1048585)-net over F₄	[i]
4	Digital (139, 155, 1048589)-net over F₄	[i]
5	Digital (140, 156, 1048592)-net over F₄	[i]
6	Digital (142, 158, 1048593)-net over F₄	[i]
7	Digital (143, 159, 1048596)-net over F₄	[i]
8	Digital (144, 160, 1048609)-net over F₄	[i]
9	Digital (146, 162, 1048623)-net over F₄	[i]
10	Digital (148, 164, 1048641)-net over F₄	[i]
11	Digital (150, 166, 1048651)-net over F₄	[i]
12	Digital (152, 168, 1048770)-net over F₄	[i]
13	Digital (155, 171, 1048815)-net over F₄	[i]
14	Digital (157, 173, 1048832)-net over F₄	[i]
15	Digital (158, 174, 1049089)-net over F₄	[i]
16	Digital (160, 176, 1049603)-net over F₄	[i]
17	(156, 172, 1048833)-net in base 4	[i]