MinT - Information on Result #1195102

Information on Result #1195102

Digital (56, 68, 2796200)-net over F₁₆, using net defined by OOA based on linear OOA(16⁶⁸, 2796200, F₁₆, 14, 12) (dual of [(2796200, 14), 39146732, 13]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(16⁶⁸, 8388601, F₁₆, 2, 12) (dual of [(8388601, 2), 16777134, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16⁶⁸, 8388602, F₁₆, 2, 12) (dual of [(8388602, 2), 16777136, 13]-NRT-code), using
  - trace code [i] based on linear OOA(256³⁴, 4194301, F₂₅₆, 2, 12) (dual of [(4194301, 2), 8388568, 13]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(256³⁴, 8388602, F₂₅₆, 12) (dual of [8388602, 8388568, 13]-code), using
      - discarding factors / shortening the dual code based on linear OA(256³⁴, large, F₂₅₆, 12) (dual of [large, large−34, 13]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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 (57, 69, 2796200)-net over F₁₆	[i]	Net Duplication
2	Digital (58, 70, 2796200)-net over F₁₆	[i]
3	Digital (59, 71, 2796200)-net over F₁₆	[i]
4	Digital (60, 72, 2796200)-net over F₁₆	[i]
5	Digital (124, 136, 5592400)-net over F₄	[i]	Trace Code for Nets
6	Digital (62, 74, 2796217)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
7	Digital (63, 75, 2796224)-net over F₁₆	[i]
8	Digital (64, 76, 2796233)-net over F₁₆	[i]
9	Digital (65, 77, 2796238)-net over F₁₆	[i]
10	Digital (66, 78, 2796245)-net over F₁₆	[i]
11	Digital (67, 79, 2796457)-net over F₁₆	[i]
12	Digital (68, 80, 2796714)-net over F₁₆	[i]
13	Digital (70, 82, 2796716)-net over F₁₆	[i]
14	Digital (71, 83, 2796731)-net over F₁₆	[i]
15	Digital (72, 84, 2797566)-net over F₁₆	[i]
16	Digital (73, 85, 2797568)-net over F₁₆	[i]
17	Digital (74, 86, 2797569)-net over F₁₆	[i]
18	Digital (75, 87, 2797583)-net over F₁₆	[i]
19	Digital (76, 88, 2797823)-net over F₁₆	[i]
20	Digital (77, 89, 2818046)-net over F₁₆	[i]
21	Digital (78, 90, 2839892)-net over F₁₆	[i]
22	Digital (80, 92, 2839894)-net over F₁₆	[i]
23	Digital (81, 93, 2839909)-net over F₁₆	[i]
24	Digital (82, 94, 3145727)-net over F₁₆	[i]
25	Digital (83, 95, 3145729)-net over F₁₆	[i]
26	Digital (84, 96, 3145731)-net over F₁₆	[i]
27	Digital (85, 97, 3145744)-net over F₁₆	[i]
28	Digital (86, 98, 3145984)-net over F₁₆	[i]
29	Digital (87, 99, 5592400)-net over F₁₆	[i]
30	(65, 77, 2796265)-net in base 16	[i]
31	(76, 88, 2807123)-net in base 16	[i]
32	(80, 92, 2883582)-net in base 16	[i]
33	(84, 96, 3495251)-net in base 16	[i]
34	(85, 97, 3495252)-net in base 16	[i]
35	(86, 98, 3495253)-net in base 16	[i]
36	Digital (113, 125, large)-net over F₁₆	[i]	Generalized (u,Â u+v)-Construction for Nets
37	Digital (111, 123, large)-net over F₁₆	[i]
38	Digital (98, 110, 5592931)-net over F₁₆	[i]
39	Digital (99, 111, 5593171)-net over F₁₆	[i]
40	Digital (103, 115, 5657937)-net over F₁₆	[i]
41	Digital (106, 118, 6116707)-net over F₁₆	[i]
42	Digital (107, 119, 6116947)-net over F₁₆	[i]
43	Digital (109, 121, large)-net over F₁₆	[i]
44	Digital (91, 103, 5592417)-net over F₁₆	[i]
45	Digital (92, 104, 5592424)-net over F₁₆	[i]
46	Digital (93, 105, 5592520)-net over F₁₆	[i]
47	Digital (94, 106, 5592657)-net over F₁₆	[i]
48	Digital (95, 107, 5592914)-net over F₁₆	[i]
49	Digital (97, 109, 5594449)-net over F₁₆	[i]
50	Digital (98, 110, 5625040)-net over F₁₆	[i]
51	Digital (99, 111, 5657680)-net over F₁₆	[i]
52	Digital (101, 113, 5657938)-net over F₁₆	[i]
53	Digital (102, 114, 5657953)-net over F₁₆	[i]
54	Digital (103, 115, 6116690)-net over F₁₆	[i]
55	Digital (104, 116, 6116694)-net over F₁₆	[i]
56	Digital (105, 117, 6116707)-net over F₁₆	[i]
57	Digital (106, 118, 8388600)-net over F₁₆	[i]
58	Digital (102, 114, 5658192)-net over F₁₆	[i]