MinT - Information on Result #1197834

Information on Result #1197834

Digital (52, 66, 1198371)-net over F₂₇, using net defined by OOA based on linear OOA(27⁶⁶, 1198371, F₂₇, 14, 14) (dual of [(1198371, 14), 16777128, 15]-NRT-code), using

OA 7-folding and stacking [i] based on linear OA(27⁶⁶, 8388597, F₂₇, 14) (dual of [8388597, 8388531, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(27⁶⁶, large, F₂₇, 14) (dual of [large, large−66, 15]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 27⁵âˆ’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 (53, 67, 1198371)-net over F₂₇	[i]	Net Duplication
2	Digital (54, 68, 1198371)-net over F₂₇	[i]
3	Digital (55, 69, 1198371)-net over F₂₇	[i]
4	Digital (184, 198, 3595113)-net over F₃	[i]	Trace Code for Nets
5	Digital (59, 73, 1198399)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
6	Digital (60, 74, 1198409)-net over F₂₇	[i]
7	Digital (61, 75, 1198419)-net over F₂₇	[i]
8	Digital (62, 76, 1198427)-net over F₂₇	[i]
9	Digital (63, 77, 1198437)-net over F₂₇	[i]
10	Digital (64, 78, 1198447)-net over F₂₇	[i]
11	Digital (65, 79, 1198614)-net over F₂₇	[i]
12	Digital (66, 80, 1198615)-net over F₂₇	[i]
13	Digital (67, 81, 1198616)-net over F₂₇	[i]
14	Digital (68, 82, 1198748)-net over F₂₇	[i]
15	Digital (69, 83, 1198858)-net over F₂₇	[i]
16	Digital (70, 84, 1198875)-net over F₂₇	[i]
17	Digital (71, 85, 1204932)-net over F₂₇	[i]
18	Digital (72, 86, 1204934)-net over F₂₇	[i]
19	Digital (73, 87, 1204935)-net over F₂₇	[i]
20	Digital (74, 88, 1204960)-net over F₂₇	[i]
21	Digital (75, 89, 1205662)-net over F₂₇	[i]
22	Digital (76, 90, 1206640)-net over F₂₇	[i]
23	Digital (77, 91, 1375519)-net over F₂₇	[i]
24	Digital (78, 92, 1375521)-net over F₂₇	[i]
25	Digital (79, 93, 1375522)-net over F₂₇	[i]
26	Digital (80, 94, 1375547)-net over F₂₇	[i]
27	Digital (81, 95, 1376249)-net over F₂₇	[i]
28	Digital (82, 96, 1377227)-net over F₂₇	[i]
29	Digital (83, 97, 2396742)-net over F₂₇	[i]
30	Digital (64, 78, 1198455)-net over F₂₇	[i]
31	Digital (68, 82, 1199127)-net over F₂₇	[i]
32	Digital (69, 83, 1199137)-net over F₂₇	[i]
33	Digital (70, 84, 1199147)-net over F₂₇	[i]
34	(62, 76, 1198453)-net in base 27	[i]
35	(63, 77, 1198471)-net in base 27	[i]
36	(64, 78, 1198487)-net in base 27	[i]
37	(70, 84, 1200558)-net in base 27	[i]
38	Digital (94, 108, 2397149)-net over F₂₇	[i]	Generalized (u,Â u+v)-Construction for Nets
39	Digital (95, 109, 2397472)-net over F₂₇	[i]
40	Digital (96, 110, 2397795)-net over F₂₇	[i]
41	Digital (92, 106, 2397121)-net over F₂₇	[i]
42	Digital (93, 107, 2397444)-net over F₂₇	[i]
43	Digital (94, 108, 2397474)-net over F₂₇	[i]
44	Digital (94, 108, 2397526)-net over F₂₇	[i]
45	Digital (95, 109, 2398228)-net over F₂₇	[i]
46	Digital (96, 110, 2398254)-net over F₂₇	[i]
47	Digital (96, 110, 2406613)-net over F₂₇	[i]
48	Digital (87, 101, 2396770)-net over F₂₇	[i]
49	Digital (88, 102, 2396780)-net over F₂₇	[i]
50	Digital (89, 103, 2397093)-net over F₂₇	[i]
51	Digital (90, 104, 2397108)-net over F₂₇	[i]
52	Digital (91, 105, 2397498)-net over F₂₇	[i]
53	Digital (92, 106, 2397508)-net over F₂₇	[i]
54	Digital (93, 107, 2406585)-net over F₂₇	[i]
55	Digital (94, 108, 2406587)-net over F₂₇	[i]
56	Digital (95, 109, 2406624)-net over F₂₇	[i]
57	Digital (96, 110, 2662464)-net over F₂₇	[i]