MinT - Information on Result #1186112

Information on Result #1186112

Digital (75, 85, 1677720)-net over F₄, using net defined by OOA based on linear OOA(4⁸⁵, 1677720, F₄, 10, 10) (dual of [(1677720, 10), 16777115, 11]-NRT-code), using

OA 5-folding and stacking [i] based on linear OA(4⁸⁵, 8388600, F₄, 10) (dual of [8388600, 8388515, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁸⁵, large, F₄, 10) (dual of [large, large−85, 11]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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 (76, 86, 1677720)-net over F₄	[i]	Net Duplication
2	Digital (77, 87, 1677720)-net over F₄	[i]
3	Digital (78, 88, 1677720)-net over F₄	[i]
4	Digital (79, 89, 1677720)-net over F₄	[i]
5	Digital (80, 90, 1677725)-net over F₄	[i]	(u,Â u+v)-Construction for Nets
6	Digital (81, 91, 1677729)-net over F₄	[i]
7	Digital (82, 92, 1677736)-net over F₄	[i]
8	Digital (83, 93, 1677746)-net over F₄	[i]
9	Digital (84, 94, 1677756)-net over F₄	[i]
10	Digital (85, 95, 1677784)-net over F₄	[i]
11	Digital (86, 96, 1677801)-net over F₄	[i]
12	Digital (88, 98, 1677847)-net over F₄	[i]
13	Digital (89, 99, 1677960)-net over F₄	[i]
14	Digital (90, 100, 1677961)-net over F₄	[i]
15	Digital (91, 101, 1678231)-net over F₄	[i]
16	Digital (92, 102, 1678235)-net over F₄	[i]
17	Digital (93, 103, 1678236)-net over F₄	[i]
18	Digital (94, 104, 1679767)-net over F₄	[i]
19	Digital (95, 105, 1679771)-net over F₄	[i]
20	Digital (96, 106, 1683769)-net over F₄	[i]
21	Digital (97, 107, 1685911)-net over F₄	[i]
22	Digital (98, 108, 1685916)-net over F₄	[i]
23	(93, 103, 1678712)-net in base 4	[i]