MinT - Information on Result #1186172

Information on Result #1186172

Digital (86, 97, 1677720)-net over F₄, using net defined by OOA based on linear OOA(4⁹⁷, 1677720, F₄, 11, 11) (dual of [(1677720, 11), 18454823, 12]-NRT-code), using

OOA 5-folding and stacking with additional row [i] based on linear OA(4⁹⁷, 8388601, F₄, 11) (dual of [8388601, 8388504, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁹⁷, large, F₄, 11) (dual of [large, large−97, 12]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 4²⁴âˆ’1, defining interval IÂ =Â [0,5], and minimum distance dÂ â‰¥ |{−5,−4,…,5}|+1Â =Â 12 (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 (87, 98, 1677720)-net over F₄	[i]	Net Duplication
2	Digital (88, 99, 1677720)-net over F₄	[i]
3	Digital (89, 100, 1677720)-net over F₄	[i]
4	Digital (90, 101, 1677720)-net over F₄	[i]
5	Digital (91, 102, 1677725)-net over F₄	[i]	(u,Â u+v)-Construction for Nets
6	Digital (92, 103, 1677729)-net over F₄	[i]
7	Digital (93, 104, 1677736)-net over F₄	[i]
8	Digital (94, 105, 1677746)-net over F₄	[i]
9	Digital (95, 106, 1677756)-net over F₄	[i]
10	Digital (96, 107, 1677784)-net over F₄	[i]
11	Digital (97, 108, 1677801)-net over F₄	[i]
12	Digital (99, 110, 1677847)-net over F₄	[i]
13	Digital (100, 111, 1677960)-net over F₄	[i]
14	Digital (101, 112, 1677961)-net over F₄	[i]
15	Digital (102, 113, 1678231)-net over F₄	[i]
16	Digital (103, 114, 1678235)-net over F₄	[i]
17	Digital (104, 115, 1678236)-net over F₄	[i]
18	Digital (105, 116, 1679767)-net over F₄	[i]
19	Digital (106, 117, 1679771)-net over F₄	[i]
20	Digital (107, 118, 1683769)-net over F₄	[i]
21	Digital (108, 119, 1685911)-net over F₄	[i]
22	Digital (109, 120, 1685916)-net over F₄	[i]
23	(104, 115, 1678712)-net in base 4	[i]