MinT - Information on Result #1205251

Information on Result #1205251

Digital (113, 124, 6710880)-net over F₄, using trace code for nets based on digital (20, 31, 1677720)-net over F₂₅₆, using

net defined by OOA [i] based on linear OOA(256³¹, 1677720, F₂₅₆, 11, 11) (dual of [(1677720, 11), 18454889, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(256³¹, 8388601, F₂₅₆, 11) (dual of [8388601, 8388570, 12]-code), using
  - discarding factors / shortening the dual code based on linear OA(256³¹, large, F₂₅₆, 11) (dual of [large, large−31, 12]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [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 (114, 125, 6710880)-net over F₄	[i]	Net Duplication
2	Digital (115, 126, 6710880)-net over F₄	[i]
3	Digital (116, 127, 6710880)-net over F₄	[i]
4	Digital (117, 128, 6710880)-net over F₄	[i]
5	Digital (118, 129, 6710885)-net over F₄	[i]	(u,Â u+v)-Construction for Nets
6	Digital (119, 130, 6710889)-net over F₄	[i]
7	Digital (120, 131, 6710896)-net over F₄	[i]
8	Digital (121, 132, 6710906)-net over F₄	[i]
9	Digital (122, 133, 6710916)-net over F₄	[i]
10	Digital (123, 134, 6710944)-net over F₄	[i]
11	Digital (124, 135, 6710961)-net over F₄	[i]
12	Digital (126, 137, 6711007)-net over F₄	[i]
13	Digital (127, 138, 6711120)-net over F₄	[i]
14	Digital (128, 139, 6711121)-net over F₄	[i]
15	Digital (129, 140, 6711391)-net over F₄	[i]
16	Digital (130, 141, 6711395)-net over F₄	[i]
17	Digital (131, 142, 6711396)-net over F₄	[i]
18	Digital (132, 143, 6712927)-net over F₄	[i]
19	Digital (133, 144, 6712931)-net over F₄	[i]
20	Digital (134, 145, 6716929)-net over F₄	[i]
21	Digital (135, 146, 6719071)-net over F₄	[i]
22	Digital (136, 147, 6719076)-net over F₄	[i]
23	Digital (138, 149, 6743647)-net over F₄	[i]
24	Digital (139, 150, 6776160)-net over F₄	[i]
25	Digital (140, 151, 6776161)-net over F₄	[i]
26	Digital (141, 152, 6841951)-net over F₄	[i]
27	Digital (142, 153, 6841957)-net over F₄	[i]
28	Digital (144, 155, 7235167)-net over F₄	[i]
29	Digital (145, 156, 7235173)-net over F₄	[i]
30	Digital (146, 157, 7235174)-net over F₄	[i]
31	Digital (147, 158, large)-net over F₄	[i]
32	(131, 142, 6711872)-net in base 4	[i]