MinT - Information on Result #1205116

Information on Result #1205116

Digital (182, 198, 1195744)-net over F₃, using trace code for nets based on digital (83, 99, 597872)-net over F₉, using

net defined by OOA [i] based on linear OOA(9⁹⁹, 597872, F₉, 16, 16) (dual of [(597872, 16), 9565853, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(9⁹⁹, 4782976, F₉, 16) (dual of [4782976, 4782877, 17]-code), using
  - constructionÂ X applied to C_e(15) âŠ‚ C_e(14) [i] based on
    1. linear OA(9⁹⁹, 4782969, F₉, 16) (dual of [4782969, 4782870, 17]-code), using an extension C_e(15) of the primitive narrow-sense BCH-code C(I) with length 4782968Â = 9⁷âˆ’1, defining interval IÂ =Â [1,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]
    2. linear OA(9⁹², 4782969, F₉, 15) (dual of [4782969, 4782877, 16]-code), using an extension C_e(14) of the primitive narrow-sense BCH-code C(I) with length 4782968Â = 9⁷âˆ’1, defining interval IÂ =Â [1,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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		This result only	Method
1	Digital (183, 199, 1195744)-net over F₃	[i]		Net Duplication
2	Digital (191, 207, 1195751)-net over F₃	[i]		(u,Â u+v)-Construction for Nets
3	Digital (192, 208, 1195752)-net over F₃	[i]
4	Digital (193, 209, 1195755)-net over F₃	[i]
5	Digital (194, 210, 1195758)-net over F₃	[i]
6	Digital (195, 211, 1195761)-net over F₃	[i]
7	Digital (196, 212, 1195766)-net over F₃	[i]
8	Digital (200, 216, 1195776)-net over F₃	[i]