MinT - Information on Result #1191960

Information on Result #1191960

Digital (106, 122, 2097150)-net over F₈, using net defined by OOA based on linear OOA(8¹²², 2097150, F₈, 18, 16) (dual of [(2097150, 18), 37748578, 17]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OOA(8¹²², 8388601, F₈, 2, 16) (dual of [(8388601, 2), 16777080, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8¹²², 8388602, F₈, 2, 16) (dual of [(8388602, 2), 16777082, 17]-NRT-code), using
  - trace code [i] based on linear OOA(64⁶¹, 4194301, F₆₄, 2, 16) (dual of [(4194301, 2), 8388541, 17]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(64⁶¹, 8388602, F₆₄, 16) (dual of [8388602, 8388541, 17]-code), using
      - discarding factors / shortening the dual code based on linear OA(64⁶¹, large, F₆₄, 16) (dual of [large, large−61, 17]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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 (107, 123, 2097150)-net over F₈	[i]	Net Duplication
2	Digital (108, 124, 2097150)-net over F₈	[i]
3	Digital (109, 125, 2097150)-net over F₈	[i]
4	Digital (110, 126, 2097150)-net over F₈	[i]
5	Digital (111, 127, 2097150)-net over F₈	[i]
6	Digital (112, 128, 2097150)-net over F₈	[i]
7	Digital (114, 130, 2097159)-net over F₈	[i]	(u,Â u+v)-Construction for Nets
8	Digital (115, 131, 2097164)-net over F₈	[i]
9	Digital (116, 132, 2097167)-net over F₈	[i]
10	Digital (117, 133, 2097174)-net over F₈	[i]
11	Digital (118, 134, 2097175)-net over F₈	[i]
12	Digital (119, 135, 2097178)-net over F₈	[i]
13	Digital (121, 137, 2097215)-net over F₈	[i]
14	Digital (122, 138, 2097280)-net over F₈	[i]
15	Digital (124, 140, 2097310)-net over F₈	[i]
16	Digital (128, 144, 2097358)-net over F₈	[i]
17	Digital (130, 146, 2097410)-net over F₈	[i]
18	Digital (132, 148, 2097440)-net over F₈	[i]
19	Digital (134, 150, 2098173)-net over F₈	[i]
20	Digital (135, 151, 2098175)-net over F₈	[i]
21	Digital (136, 152, 2099199)-net over F₈	[i]
22	Digital (138, 154, 2099200)-net over F₈	[i]
23	Digital (140, 156, 2099208)-net over F₈	[i]
24	Digital (141, 157, 2105341)-net over F₈	[i]
25	Digital (142, 158, 2105343)-net over F₈	[i]
26	Digital (143, 159, 2105345)-net over F₈	[i]
27	Digital (145, 161, 2105350)-net over F₈	[i]
28	Digital (146, 162, 2105355)-net over F₈	[i]
29	Digital (147, 163, 2105369)-net over F₈	[i]
30	Digital (148, 164, 2162685)-net over F₈	[i]
31	Digital (149, 165, 2162687)-net over F₈	[i]
32	Digital (150, 166, 2228223)-net over F₈	[i]
33	Digital (152, 168, 2228225)-net over F₈	[i]
34	Digital (154, 170, 2228232)-net over F₈	[i]
35	Digital (155, 171, 2621437)-net over F₈	[i]
36	Digital (156, 172, 2621440)-net over F₈	[i]
37	Digital (157, 173, 2621442)-net over F₈	[i]
38	Digital (133, 149, 2097483)-net over F₈	[i]
39	(126, 142, 2097408)-net in base 8	[i]
40	(130, 146, 2097666)-net in base 8	[i]
41	(132, 148, 2097673)-net in base 8	[i]
42	(133, 149, 2097678)-net in base 8	[i]
43	(145, 161, 2113535)-net in base 8	[i]
44	(146, 162, 2129919)-net in base 8	[i]
45	(154, 170, 2359295)-net in base 8	[i]