MinT - Information on Result #1195930

Information on Result #1195930

Digital (24, 31, 2796200)-net over F₂₅, using net defined by OOA based on linear OOA(25³¹, 2796200, F₂₅, 7, 7) (dual of [(2796200, 7), 19573369, 8]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OA(25³¹, 8388601, F₂₅, 7) (dual of [8388601, 8388570, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(25³¹, large, F₂₅, 7) (dual of [large, large−31, 8]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 9765626Â | 25¹⁰âˆ’1, defining interval IÂ =Â [0,3], and minimum distance dÂ â‰¥ |{−3,−2,…,3}|+1Â =Â 8 (BCH-bound) [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 (25, 32, 2796200)-net over F₂₅	[i]	Net Duplication
2	Digital (26, 33, 2796200)-net over F₂₅	[i]	Net Duplication
3	Digital (55, 62, 5592400)-net over F₅	[i]	Trace Code for Nets
4	Digital (27, 34, 2796226)-net over F₂₅	[i]	(u,Â u+v)-Construction for Nets
5	Digital (28, 35, 2796826)-net over F₂₅	[i]
6	Digital (29, 36, 2797734)-net over F₂₅	[i]
7	Digital (30, 37, 2812528)-net over F₂₅	[i]
8	Digital (31, 38, 3188075)-net over F₂₅	[i]
9	Digital (32, 39, 3754951)-net over F₂₅	[i]
10	Digital (33, 40, 5592400)-net over F₂₅	[i]
11	Digital (83, 97, 2396742)-net over F₂₅	[i]
12	Digital (90, 104, 2396794)-net over F₂₅	[i]
13	Digital (91, 105, 2396796)-net over F₂₅	[i]
14	Digital (92, 106, 2396798)-net over F₂₅	[i]
15	Digital (93, 107, 2396846)-net over F₂₅	[i]
16	Digital (94, 108, 2396874)-net over F₂₅	[i]
17	Digital (96, 110, 2397160)-net over F₂₅	[i]
18	Digital (87, 102, 2396742)-net over F₂₅	[i]
19	Digital (94, 109, 2396794)-net over F₂₅	[i]
20	Digital (95, 110, 2396796)-net over F₂₅	[i]
21	Digital (40, 47, large)-net over F₂₅	[i]	Generalized (u,Â u+v)-Construction for Nets
22	Digital (92, 106, 2396820)-net over F₂₅	[i]
23	Digital (94, 108, 2397094)-net over F₂₅	[i]
24	Digital (95, 109, 2397368)-net over F₂₅	[i]
25	Digital (96, 110, 2397642)-net over F₂₅	[i]
26	Digital (39, 46, 5641228)-net over F₂₅	[i]
27	Digital (92, 106, 2397068)-net over F₂₅	[i]
28	Digital (93, 107, 2397342)-net over F₂₅	[i]
29	Digital (94, 108, 2397370)-net over F₂₅	[i]
30	Digital (94, 108, 2397418)-net over F₂₅	[i]
31	Digital (95, 109, 2398018)-net over F₂₅	[i]
32	Digital (96, 110, 2398042)-net over F₂₅	[i]
33	Digital (96, 110, 2398344)-net over F₂₅	[i]
34	Digital (96, 110, 2404582)-net over F₂₅	[i]
35	Digital (39, 46, 5672453)-net over F₂₅	[i]
36	Digital (37, 44, 5593702)-net over F₂₅	[i]
37	Digital (38, 45, 5624952)-net over F₂₅	[i]
38	Digital (39, 46, 6406202)-net over F₂₅	[i]
39	Digital (92, 107, 2396768)-net over F₂₅	[i]
40	Digital (93, 108, 2396769)-net over F₂₅	[i]
41	Digital (94, 109, 2397042)-net over F₂₅	[i]
42	Digital (87, 101, 2396768)-net over F₂₅	[i]
43	Digital (88, 102, 2396769)-net over F₂₅	[i]
44	Digital (89, 103, 2397042)-net over F₂₅	[i]
45	Digital (90, 104, 2397056)-net over F₂₅	[i]
46	Digital (91, 105, 2397392)-net over F₂₅	[i]
47	Digital (92, 106, 2397718)-net over F₂₅	[i]
48	Digital (93, 107, 2404556)-net over F₂₅	[i]
49	Digital (94, 108, 2404558)-net over F₂₅	[i]
50	Digital (95, 109, 2404592)-net over F₂₅	[i]
51	Digital (96, 110, 2592056)-net over F₂₅	[i]
52	Digital (35, 42, 5592426)-net over F₂₅	[i]
53	Digital (36, 43, 5593051)-net over F₂₅	[i]
54	Digital (37, 44, 5608676)-net over F₂₅	[i]
55	Digital (38, 45, 5999301)-net over F₂₅	[i]
56	Digital (39, 46, 8388600)-net over F₂₅	[i]