MinT - Information on Result #1196382

Information on Result #1196382

Digital (52, 66, 1198371)-net over F₂₅, using net defined by OOA based on linear OOA(25⁶⁶, 1198371, F₂₅, 14, 14) (dual of [(1198371, 14), 16777128, 15]-NRT-code), using

OA 7-folding and stacking [i] based on linear OA(25⁶⁶, 8388597, F₂₅, 14) (dual of [8388597, 8388531, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(25⁶⁶, large, F₂₅, 14) (dual of [large, large−66, 15]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 25⁵âˆ’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 F₂₅	[i]	Net Duplication
2	Digital (54, 68, 1198371)-net over F₂₅	[i]
3	Digital (55, 69, 1198371)-net over F₂₅	[i]
4	Digital (118, 132, 2396742)-net over F₅	[i]	Trace Code for Nets
5	Digital (59, 73, 1198397)-net over F₂₅	[i]	(u,Â u+v)-Construction for Nets
6	Digital (60, 74, 1198398)-net over F₂₅	[i]
7	Digital (61, 75, 1198399)-net over F₂₅	[i]
8	Digital (62, 76, 1198423)-net over F₂₅	[i]
9	Digital (63, 77, 1198437)-net over F₂₅	[i]
10	Digital (65, 79, 1198580)-net over F₂₅	[i]
11	Digital (66, 80, 1198581)-net over F₂₅	[i]
12	Digital (67, 81, 1198582)-net over F₂₅	[i]
13	Digital (68, 82, 1198695)-net over F₂₅	[i]
14	Digital (69, 83, 1198789)-net over F₂₅	[i]
15	Digital (70, 84, 1199672)-net over F₂₅	[i]
16	Digital (71, 85, 1203580)-net over F₂₅	[i]
17	Digital (72, 86, 1203582)-net over F₂₅	[i]
18	Digital (74, 88, 1203606)-net over F₂₅	[i]
19	Digital (75, 89, 1204206)-net over F₂₅	[i]
20	Digital (76, 90, 1205114)-net over F₂₅	[i]
21	Digital (77, 91, 1328580)-net over F₂₅	[i]
22	Digital (78, 92, 1328582)-net over F₂₅	[i]
23	Digital (79, 93, 1328583)-net over F₂₅	[i]
24	Digital (80, 94, 1328606)-net over F₂₅	[i]
25	Digital (81, 95, 1329206)-net over F₂₅	[i]
26	Digital (82, 96, 1330114)-net over F₂₅	[i]
27	Digital (83, 97, 2396742)-net over F₂₅	[i]
28	Digital (64, 78, 1198449)-net over F₂₅	[i]
29	Digital (68, 82, 1199021)-net over F₂₅	[i]
30	Digital (69, 83, 1199022)-net over F₂₅	[i]
31	Digital (92, 106, 2396820)-net over F₂₅	[i]	Generalized (u,Â u+v)-Construction for Nets
32	Digital (94, 108, 2397094)-net over F₂₅	[i]
33	Digital (95, 109, 2397368)-net over F₂₅	[i]
34	Digital (96, 110, 2397642)-net over F₂₅	[i]
35	Digital (92, 106, 2397068)-net over F₂₅	[i]
36	Digital (93, 107, 2397342)-net over F₂₅	[i]
37	Digital (94, 108, 2397370)-net over F₂₅	[i]
38	Digital (94, 108, 2397418)-net over F₂₅	[i]
39	Digital (95, 109, 2398018)-net over F₂₅	[i]
40	Digital (96, 110, 2398042)-net over F₂₅	[i]
41	Digital (96, 110, 2398344)-net over F₂₅	[i]
42	Digital (96, 110, 2404582)-net over F₂₅	[i]
43	Digital (87, 101, 2396768)-net over F₂₅	[i]
44	Digital (88, 102, 2396769)-net over F₂₅	[i]
45	Digital (89, 103, 2397042)-net over F₂₅	[i]
46	Digital (90, 104, 2397056)-net over F₂₅	[i]
47	Digital (91, 105, 2397392)-net over F₂₅	[i]
48	Digital (92, 106, 2397718)-net over F₂₅	[i]
49	Digital (93, 107, 2404556)-net over F₂₅	[i]
50	Digital (94, 108, 2404558)-net over F₂₅	[i]
51	Digital (95, 109, 2404592)-net over F₂₅	[i]
52	Digital (96, 110, 2592056)-net over F₂₅	[i]