MinT - Information on Result #1188360

Information on Result #1188360

Digital (64, 72, 4194300)-net over F₅, using net defined by OOA based on linear OOA(5⁷², 4194300, F₅, 10, 8) (dual of [(4194300, 10), 41942928, 9]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(5⁷², 8388601, F₅, 2, 8) (dual of [(8388601, 2), 16777130, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5⁷², 8388602, F₅, 2, 8) (dual of [(8388602, 2), 16777132, 9]-NRT-code), using
  - trace code [i] based on linear OOA(25³⁶, 4194301, F₂₅, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(25³⁶, 8388602, F₂₅, 8) (dual of [8388602, 8388566, 9]-code), using
      - discarding factors / shortening the dual code based on linear OA(25³⁶, large, F₂₅, 8) (dual of [large, large−36, 9]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 25⁵âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [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 (65, 73, 4194300)-net over F₅	[i]	Net Duplication
2	Digital (68, 76, 4194306)-net over F₅	[i]	(u,Â u+v)-Construction for Nets
3	Digital (69, 77, 4194312)-net over F₅	[i]
4	Digital (70, 78, 4194327)-net over F₅	[i]
5	Digital (71, 79, 4194344)-net over F₅	[i]
6	Digital (72, 80, 4194378)-net over F₅	[i]
7	Digital (73, 81, 4194437)-net over F₅	[i]
8	Digital (75, 83, 4194600)-net over F₅	[i]
9	Digital (76, 84, 4194900)-net over F₅	[i]
10	Digital (78, 86, 4194928)-net over F₅	[i]
11	Digital (79, 87, 4195081)-net over F₅	[i]
12	Digital (80, 88, 4195865)-net over F₅	[i]
13	Digital (81, 89, 4195868)-net over F₅	[i]
14	Digital (82, 90, 4196253)-net over F₅	[i]
15	Digital (83, 91, 4202115)-net over F₅	[i]
16	Digital (84, 92, 4209928)-net over F₅	[i]
17	Digital (86, 94, 4233366)-net over F₅	[i]
18	Digital (87, 95, 4233370)-net over F₅	[i]
19	Digital (88, 96, 4233372)-net over F₅	[i]
20	Digital (89, 97, 4389616)-net over F₅	[i]
21	Digital (90, 98, 4584929)-net over F₅	[i]
22	Digital (92, 100, 5170867)-net over F₅	[i]
23	Digital (93, 101, 5170872)-net over F₅	[i]
24	Digital (94, 102, 5170873)-net over F₅	[i]
25	Digital (95, 103, 8388600)-net over F₅	[i]
26	Digital (97, 105, large)-net over F₅	[i]	Generalized (u,Â u+v)-Construction for Nets