MinT - Information on Result #1199098

Information on Result #1199098

Digital (11, 23, 171)-net over F₃₂, using net defined by OOA based on linear OOA(32²³, 171, F₃₂, 12, 12) (dual of [(171, 12), 2029, 13]-NRT-code), using

OA 6-folding and stacking [i] based on linear OA(32²³, 1026, F₃₂, 12) (dual of [1026, 1003, 13]-code), using
- constructionÂ X applied to C_e(11) âŠ‚ C_e(10) [i] based on
  1. linear OA(32²³, 1024, F₃₂, 12) (dual of [1024, 1001, 13]-code), using an extension C_e(11) of the primitive narrow-sense BCH-code C(I) with length 1023Â = 32²âˆ’1, defining interval IÂ =Â [1,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [i]
  2. linear OA(32²¹, 1024, F₃₂, 11) (dual of [1024, 1003, 12]-code), using an extension C_e(10) of the primitive narrow-sense BCH-code C(I) with length 1023Â = 32²âˆ’1, defining interval IÂ =Â [1,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]
  3. linear OA(32⁰, 2, F₃₂, 0) (dual of [2, 2, 1]-code), using
    - discarding factors / shortening the dual code based on linear OA(32⁰, s, F₃₂, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
      - OA with only one run / dual of code without redundancy [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 (17, 29, 204)-net over F₃₂	[i]	(u,Â u+v)-Construction for Nets
2	Digital (18, 30, 215)-net over F₃₂	[i]
3	Digital (20, 32, 237)-net over F₃₂	[i]
4	Digital (21, 33, 248)-net over F₃₂	[i]
5	Digital (34, 58, 240)-net over F₃₂	[i]
6	Digital (41, 65, 256)-net over F₃₂	[i]
7	Digital (42, 66, 262)-net over F₃₂	[i]
8	Digital (43, 67, 284)-net over F₃₂	[i]
9	Digital (45, 69, 324)-net over F₃₂	[i]
10	Digital (34, 59, 240)-net over F₃₂	[i]
11	Digital (41, 66, 256)-net over F₃₂	[i]
12	Digital (42, 67, 262)-net over F₃₂	[i]
13	Digital (43, 68, 284)-net over F₃₂	[i]
14	Digital (45, 70, 324)-net over F₃₂	[i]
15	Digital (47, 72, 345)-net over F₃₂	[i]
16	Digital (71, 96, 2901)-net over F₃₂	[i]