MinT - Information on Result #1205673

Information on Result #1205673

Digital (71, 86, 2396742)-net over F₁₆, using trace code for nets based on digital (28, 43, 1198371)-net over F₂₅₆, using

net defined by OOA [i] based on linear OOA(256⁴³, 1198371, F₂₅₆, 15, 15) (dual of [(1198371, 15), 17975522, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(256⁴³, 8388598, F₂₅₆, 15) (dual of [8388598, 8388555, 16]-code), using
  - discarding factors / shortening the dual code based on linear OA(256⁴³, large, F₂₅₆, 15) (dual of [large, large−43, 16]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [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 (72, 86, 2396742)-net over F₁₆	[i]	t-Expansion
2	Digital (72, 87, 2396742)-net over F₁₆	[i]	Net Duplication
3	Digital (73, 88, 2396742)-net over F₁₆	[i]
4	Digital (74, 89, 2396742)-net over F₁₆	[i]
5	Digital (75, 90, 2396742)-net over F₁₆	[i]
6	Digital (76, 91, 2396742)-net over F₁₆	[i]
7	Digital (77, 92, 2396742)-net over F₁₆	[i]
8	Digital (71, 85, 2396742)-net over F₁₆	[i]	m-Reduction
9	Digital (78, 93, 2396759)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
10	Digital (79, 94, 2396766)-net over F₁₆	[i]
11	Digital (80, 95, 2396775)-net over F₁₆	[i]
12	Digital (81, 96, 2396780)-net over F₁₆	[i]
13	Digital (82, 97, 2396787)-net over F₁₆	[i]
14	Digital (83, 98, 2396792)-net over F₁₆	[i]
15	Digital (84, 99, 2396999)-net over F₁₆	[i]
16	Digital (85, 100, 2397256)-net over F₁₆	[i]
17	Digital (87, 102, 2397258)-net over F₁₆	[i]
18	Digital (88, 103, 2397273)-net over F₁₆	[i]
19	Digital (89, 104, 2397513)-net over F₁₆	[i]
20	Digital (90, 105, 2398108)-net over F₁₆	[i]
21	Digital (91, 106, 2398110)-net over F₁₆	[i]
22	Digital (93, 108, 2398125)-net over F₁₆	[i]
23	Digital (94, 109, 2398365)-net over F₁₆	[i]
24	Digital (95, 110, 2398797)-net over F₁₆	[i]
25	Digital (96, 111, 2418588)-net over F₁₆	[i]
26	Digital (97, 112, 2440433)-net over F₁₆	[i]
27	Digital (98, 113, 2440434)-net over F₁₆	[i]
28	Digital (99, 114, 2440436)-net over F₁₆	[i]
29	Digital (100, 115, 2440450)-net over F₁₆	[i]
30	Digital (101, 116, 2440690)-net over F₁₆	[i]
31	Digital (102, 117, 2746268)-net over F₁₆	[i]
32	Digital (103, 118, 2746271)-net over F₁₆	[i]
33	Digital (104, 119, 2746272)-net over F₁₆	[i]
34	Digital (105, 120, 2746285)-net over F₁₆	[i]
35	Digital (106, 121, 2746525)-net over F₁₆	[i]
36	Digital (107, 122, 2746897)-net over F₁₆	[i]
37	Digital (108, 123, 4793484)-net over F₁₆	[i]
38	Digital (83, 98, 2396793)-net over F₁₆	[i]
39	Digital (95, 110, 2400854)-net over F₁₆	[i]
40	(81, 96, 2396786)-net in base 16	[i]
41	(82, 97, 2396807)-net in base 16	[i]
42	(83, 98, 2396822)-net in base 16	[i]
43	(94, 109, 2402203)-net in base 16	[i]
44	(95, 110, 2407665)-net in base 16	[i]
45	(100, 115, 2484124)-net in base 16	[i]
46	(101, 116, 2484126)-net in base 16	[i]
47	(105, 120, 3095793)-net in base 16	[i]
48	(106, 121, 3095795)-net in base 16	[i]
49	Digital (113, 128, 4793501)-net over F₁₆	[i]	Generalized (u,Â u+v)-Construction for Nets
50	Digital (114, 129, 4793508)-net over F₁₆	[i]
51	Digital (115, 130, 4793604)-net over F₁₆	[i]