MinT - Information on Result #1205661

Information on Result #1205661

Digital (66, 80, 2396742)-net over F₁₆, using trace code for nets based on digital (26, 40, 1198371)-net over F₂₅₆, using

net defined by OOA [i] based on linear OOA(256⁴⁰, 1198371, F₂₅₆, 14, 14) (dual of [(1198371, 14), 16777154, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(256⁴⁰, 8388597, F₂₅₆, 14) (dual of [8388597, 8388557, 15]-code), using
  - discarding factors / shortening the dual code based on linear OA(256⁴⁰, large, F₂₅₆, 14) (dual of [large, large−40, 15]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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 (67, 81, 2396742)-net over F₁₆	[i]	Net Duplication
2	Digital (68, 82, 2396742)-net over F₁₆	[i]
3	Digital (69, 83, 2396742)-net over F₁₆	[i]
4	Digital (70, 84, 2396742)-net over F₁₆	[i]
5	Digital (73, 87, 2396759)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
6	Digital (74, 88, 2396766)-net over F₁₆	[i]
7	Digital (75, 89, 2396775)-net over F₁₆	[i]
8	Digital (76, 90, 2396780)-net over F₁₆	[i]
9	Digital (77, 91, 2396787)-net over F₁₆	[i]
10	Digital (78, 92, 2396792)-net over F₁₆	[i]
11	Digital (79, 93, 2396999)-net over F₁₆	[i]
12	Digital (80, 94, 2397256)-net over F₁₆	[i]
13	Digital (82, 96, 2397258)-net over F₁₆	[i]
14	Digital (83, 97, 2397273)-net over F₁₆	[i]
15	Digital (84, 98, 2397513)-net over F₁₆	[i]
16	Digital (85, 99, 2398108)-net over F₁₆	[i]
17	Digital (86, 100, 2398110)-net over F₁₆	[i]
18	Digital (88, 102, 2398125)-net over F₁₆	[i]
19	Digital (89, 103, 2398365)-net over F₁₆	[i]
20	Digital (90, 104, 2398797)-net over F₁₆	[i]
21	Digital (91, 105, 2418588)-net over F₁₆	[i]
22	Digital (92, 106, 2440433)-net over F₁₆	[i]
23	Digital (93, 107, 2440434)-net over F₁₆	[i]
24	Digital (94, 108, 2440436)-net over F₁₆	[i]
25	Digital (95, 109, 2440450)-net over F₁₆	[i]
26	Digital (96, 110, 2440690)-net over F₁₆	[i]
27	Digital (97, 111, 2746268)-net over F₁₆	[i]
28	Digital (98, 112, 2746271)-net over F₁₆	[i]
29	Digital (99, 113, 2746272)-net over F₁₆	[i]
30	Digital (100, 114, 2746285)-net over F₁₆	[i]
31	Digital (101, 115, 2746525)-net over F₁₆	[i]
32	Digital (102, 116, 2746897)-net over F₁₆	[i]
33	Digital (103, 117, 4793484)-net over F₁₆	[i]
34	Digital (78, 92, 2396793)-net over F₁₆	[i]
35	Digital (90, 104, 2400854)-net over F₁₆	[i]
36	(76, 90, 2396786)-net in base 16	[i]
37	(77, 91, 2396807)-net in base 16	[i]
38	(78, 92, 2396822)-net in base 16	[i]
39	(89, 103, 2402203)-net in base 16	[i]
40	(90, 104, 2407665)-net in base 16	[i]
41	(95, 109, 2484124)-net in base 16	[i]
42	(96, 110, 2484126)-net in base 16	[i]
43	(100, 114, 3095793)-net in base 16	[i]
44	(101, 115, 3095795)-net in base 16	[i]
45	Digital (114, 128, 4793638)-net over F₁₆	[i]	Generalized (u,Â u+v)-Construction for Nets
46	Digital (115, 129, 4793741)-net over F₁₆	[i]
47	Digital (115, 129, 4793775)-net over F₁₆	[i]
48	Digital (116, 130, 4794015)-net over F₁₆	[i]
49	Digital (116, 130, 4794032)-net over F₁₆	[i]
50	Digital (112, 126, 4793621)-net over F₁₆	[i]
51	Digital (113, 127, 4793724)-net over F₁₆	[i]
52	Digital (113, 127, 4793758)-net over F₁₆	[i]
53	Digital (114, 128, 4793998)-net over F₁₆	[i]
54	Digital (114, 128, 4794015)-net over F₁₆	[i]
55	Digital (115, 129, 4794255)-net over F₁₆	[i]
56	Digital (116, 130, 4794512)-net over F₁₆	[i]
57	Digital (116, 130, 4795550)-net over F₁₆	[i]
58	Digital (107, 121, 4793501)-net over F₁₆	[i]
59	Digital (108, 122, 4793508)-net over F₁₆	[i]
60	Digital (109, 123, 4793604)-net over F₁₆	[i]
61	Digital (110, 124, 4793741)-net over F₁₆	[i]
62	Digital (111, 125, 4793998)-net over F₁₆	[i]
63	Digital (113, 127, 4795533)-net over F₁₆	[i]
64	Digital (114, 128, 4826124)-net over F₁₆	[i]
65	Digital (115, 129, 4858764)-net over F₁₆	[i]