MinT - Information on Result #1180390

Information on Result #1180390

Digital (231, 243, 4194301)-net over F₂, using net defined by OOA based on linear OOA(2²⁴³, 4194301, F₂, 15, 12) (dual of [(4194301, 15), 62914272, 13]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(2²⁴³, large, F₂, 3, 12), using
- trace code [i] based on linear OOA(8⁸¹, 2796201, F₈, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(8⁸¹, large, F₈, 12) (dual of [large, large−81, 13]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 8⁸âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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 (232, 244, 4194301)-net over F₂	[i]	Net Duplication
2	Digital (233, 245, 4194301)-net over F₂	[i]
3	Digital (234, 246, 4194301)-net over F₂	[i]
4	Digital (235, 247, 4194301)-net over F₂	[i]
5	Digital (236, 248, 4194301)-net over F₂	[i]
6	Digital (237, 249, 4194304)-net over F₂	[i]	(u,Â u+v)-Construction for Nets
7	Digital (238, 250, 4194306)-net over F₂	[i]
8	Digital (239, 251, 4194307)-net over F₂	[i]
9	Digital (240, 252, 4194310)-net over F₂	[i]
10	Digital (241, 253, 4194312)-net over F₂	[i]
11	Digital (242, 254, 4194316)-net over F₂	[i]
12	Digital (243, 255, 4194322)-net over F₂	[i]
13	Digital (244, 256, 4194324)-net over F₂	[i]
14	Digital (245, 257, 4194327)-net over F₂	[i]
15	Digital (246, 258, 4194337)-net over F₂	[i]
16	Digital (247, 259, 4194343)-net over F₂	[i]
17	Digital (248, 260, 4194349)-net over F₂	[i]