MinT - Information on Result #1202530

Information on Result #1202530

Digital (42, 57, 1198371)-net over F₈₁, using net defined by OOA based on linear OOA(81⁵⁷, 1198371, F₈₁, 15, 15) (dual of [(1198371, 15), 17975508, 16]-NRT-code), using

OOA 7-folding and stacking with additional row [i] based on linear OA(81⁵⁷, 8388598, F₈₁, 15) (dual of [8388598, 8388541, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(81⁵⁷, large, F₈₁, 15) (dual of [large, large−57, 16]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’1, defining interval IÂ =Â [0,7], and minimum distance dÂ â‰¥ |{−7,−6,…,7}|+1Â =Â 16 (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 (43, 57, 1198371)-net over F₈₁	[i]	t-Expansion
2	Digital (43, 58, 1198371)-net over F₈₁	[i]	Net Duplication
3	Digital (44, 59, 1198371)-net over F₈₁	[i]
4	Digital (45, 60, 1198371)-net over F₈₁	[i]
5	Digital (46, 61, 1198371)-net over F₈₁	[i]
6	Digital (47, 62, 1198371)-net over F₈₁	[i]
7	Digital (48, 63, 1198371)-net over F₈₁	[i]
8	Digital (42, 56, 1198371)-net over F₈₁	[i]	m-Reduction
9	Digital (213, 228, 4793484)-net over F₃	[i]	Trace Code for Nets
10	Digital (99, 114, 2396742)-net over F₉	[i]	Trace Code for Nets
11	Digital (49, 64, 1198453)-net over F₈₁	[i]	(u,Â u+v)-Construction for Nets
12	Digital (50, 65, 1198471)-net over F₈₁	[i]
13	Digital (51, 66, 1198487)-net over F₈₁	[i]
14	Digital (52, 67, 1198535)-net over F₈₁	[i]
15	Digital (53, 68, 1198553)-net over F₈₁	[i]
16	Digital (54, 69, 1198616)-net over F₈₁	[i]
17	Digital (55, 70, 1200558)-net over F₈₁	[i]
18	Digital (56, 71, 1200559)-net over F₈₁	[i]
19	Digital (57, 72, 1200560)-net over F₈₁	[i]
20	Digital (58, 73, 1205012)-net over F₈₁	[i]
21	Digital (59, 74, 1205030)-net over F₈₁	[i]
22	Digital (60, 75, 1205048)-net over F₈₁	[i]
23	Digital (61, 76, 1375518)-net over F₈₁	[i]
24	Digital (62, 77, 1375520)-net over F₈₁	[i]
25	Digital (63, 78, 1375521)-net over F₈₁	[i]
26	Digital (64, 79, 1375600)-net over F₈₁	[i]
27	Digital (65, 80, 1382080)-net over F₈₁	[i]
28	Digital (66, 81, 1391836)-net over F₈₁	[i]
29	Digital (67, 82, 2396742)-net over F₈₁	[i]
30	Digital (54, 69, 1198617)-net over F₈₁	[i]
31	Digital (58, 73, 1205013)-net over F₈₁	[i]
32	Digital (59, 74, 1205031)-net over F₈₁	[i]
33	Digital (60, 75, 1205049)-net over F₈₁	[i]