MinT - Information on Result #1194274

Information on Result #1194274

Digital (100, 120, 478297)-net over F₉, using net defined by OOA based on linear OOA(9¹²⁰, 478297, F₉, 20, 20) (dual of [(478297, 20), 9565820, 21]-NRT-code), using

OA 10-folding and stacking [i] based on linear OA(9¹²⁰, 4782970, F₉, 20) (dual of [4782970, 4782850, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(9¹²⁰, 4782976, F₉, 20) (dual of [4782976, 4782856, 21]-code), using
  - constructionÂ X applied to C_e(19) âŠ‚ C_e(18) [i] based on
    1. linear OA(9¹²⁰, 4782969, F₉, 20) (dual of [4782969, 4782849, 21]-code), using an extension C_e(19) of the primitive narrow-sense BCH-code C(I) with length 4782968Â = 9⁷âˆ’1, defining interval IÂ =Â [1,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 20 [i]
    2. linear OA(9¹¹³, 4782969, F₉, 19) (dual of [4782969, 4782856, 20]-code), using an extension C_e(18) of the primitive narrow-sense BCH-code C(I) with length 4782968Â = 9⁷âˆ’1, defining interval IÂ =Â [1,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [i]
    3. linear OA(9⁰, 7, F₉, 0) (dual of [7, 7, 1]-code), using
      - discarding factors / shortening the dual code based on linear OA(9⁰, s, F₉, 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 (101, 121, 478297)-net over F₉	[i]	Net Duplication
2	Digital (102, 122, 478297)-net over F₉	[i]	Net Duplication
3	Digital (110, 130, 478307)-net over F₉	[i]	(u,Â u+v)-Construction for Nets
4	Digital (111, 131, 478313)-net over F₉	[i]
5	Digital (112, 132, 478317)-net over F₉	[i]
6	Digital (113, 133, 478325)-net over F₉	[i]
7	Digital (114, 134, 478327)-net over F₉	[i]
8	Digital (115, 135, 478329)-net over F₉	[i]
9	Digital (116, 136, 478331)-net over F₉	[i]