MinT - Information on Result #1205459

Information on Result #1205459

Digital (99, 114, 2396742)-net over F₈, using trace code for nets based on digital (42, 57, 1198371)-net over F₆₄, using

net defined by OOA [i] based on linear OOA(64⁵⁷, 1198371, F₆₄, 15, 15) (dual of [(1198371, 15), 17975508, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(64⁵⁷, 8388598, F₆₄, 15) (dual of [8388598, 8388541, 16]-code), using
  - discarding factors / shortening the dual code based on linear OA(64⁵⁷, large, F₆₄, 15) (dual of [large, large−57, 16]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,7], and minimum distance dÂ â‰¥ |{−7,−6,…,7}|+1Â =Â 16 (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 (100, 115, 2396742)-net over F₈	[i]	Net Duplication
2	Digital (101, 116, 2396742)-net over F₈	[i]
3	Digital (102, 117, 2396742)-net over F₈	[i]
4	Digital (103, 118, 2396742)-net over F₈	[i]
5	Digital (104, 119, 2396742)-net over F₈	[i]
6	Digital (105, 120, 2396742)-net over F₈	[i]
7	Digital (106, 121, 2396751)-net over F₈	[i]	(u,Â u+v)-Construction for Nets
8	Digital (107, 122, 2396756)-net over F₈	[i]
9	Digital (108, 123, 2396759)-net over F₈	[i]
10	Digital (109, 124, 2396766)-net over F₈	[i]
11	Digital (110, 125, 2396767)-net over F₈	[i]
12	Digital (111, 126, 2396770)-net over F₈	[i]
13	Digital (112, 127, 2396807)-net over F₈	[i]
14	Digital (113, 128, 2396872)-net over F₈	[i]
15	Digital (115, 130, 2396902)-net over F₈	[i]
16	Digital (117, 132, 2396937)-net over F₈	[i]
17	Digital (118, 133, 2397002)-net over F₈	[i]
18	Digital (120, 135, 2397062)-net over F₈	[i]
19	Digital (121, 136, 2397074)-net over F₈	[i]
20	Digital (122, 137, 2397147)-net over F₈	[i]
21	Digital (123, 138, 2397261)-net over F₈	[i]
22	Digital (124, 139, 2398108)-net over F₈	[i]
23	Digital (125, 140, 2399473)-net over F₈	[i]
24	Digital (126, 141, 2399474)-net over F₈	[i]
25	Digital (127, 142, 2399476)-net over F₈	[i]
26	Digital (128, 143, 2399482)-net over F₈	[i]
27	Digital (129, 144, 2399538)-net over F₈	[i]
28	Digital (130, 145, 2407666)-net over F₈	[i]
29	Digital (131, 146, 2407668)-net over F₈	[i]
30	Digital (132, 147, 2407669)-net over F₈	[i]
31	Digital (133, 148, 2407675)-net over F₈	[i]
32	Digital (134, 149, 2407731)-net over F₈	[i]
33	Digital (135, 150, 2407874)-net over F₈	[i]
34	Digital (136, 151, 2484125)-net over F₈	[i]
35	Digital (137, 152, 2571506)-net over F₈	[i]
36	Digital (139, 154, 2571510)-net over F₈	[i]
37	Digital (140, 155, 2571515)-net over F₈	[i]
38	Digital (141, 156, 2571571)-net over F₈	[i]
39	Digital (142, 157, 3095794)-net over F₈	[i]
40	Digital (143, 158, 3095798)-net over F₈	[i]
41	Digital (145, 160, 3095803)-net over F₈	[i]
42	Digital (146, 161, 3095859)-net over F₈	[i]
43	Digital (147, 162, 3096002)-net over F₈	[i]
44	Digital (148, 163, 4793484)-net over F₈	[i]
45	Digital (121, 136, 2397075)-net over F₈	[i]
46	Digital (122, 137, 2397148)-net over F₈	[i]
47	Digital (123, 138, 2397262)-net over F₈	[i]
48	(111, 126, 2396775)-net in base 8	[i]
49	(117, 132, 2397000)-net in base 8	[i]
50	(119, 134, 2397256)-net in base 8	[i]
51	(122, 137, 2397265)-net in base 8	[i]
52	(123, 138, 2397513)-net in base 8	[i]
53	(134, 149, 2440433)-net in base 8	[i]
54	(135, 150, 2440434)-net in base 8	[i]
55	(145, 160, 3794845)-net in base 8	[i]
56	(147, 162, 3794849)-net in base 8	[i]
57	Digital (153, 168, 4793493)-net over F₈	[i]	Generalized (u,Â u+v)-Construction for Nets
58	Digital (154, 169, 4793498)-net over F₈	[i]
59	Digital (155, 170, 4793512)-net over F₈	[i]
60	Digital (157, 172, 4793549)-net over F₈	[i]
61	Digital (158, 173, 4793614)-net over F₈	[i]