MinT - Information on Result #1185100

Information on Result #1185100

Digital (143, 166, 16105)-net over F₃, using net defined by OOA based on linear OOA(3¹⁶⁶, 16105, F₃, 23, 23) (dual of [(16105, 23), 370249, 24]-NRT-code), using

OOA 11-folding and stacking with additional row [i] based on linear OA(3¹⁶⁶, 177156, F₃, 23) (dual of [177156, 176990, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3¹⁶⁶, 177158, F₃, 23) (dual of [177158, 176992, 24]-code), using
  - constructionÂ X applied to C_e(22) âŠ‚ C_e(21) [i] based on
    1. linear OA(3¹⁶⁶, 177147, F₃, 23) (dual of [177147, 176981, 24]-code), using an extension C_e(22) of the primitive narrow-sense BCH-code C(I) with length 177146Â = 3¹¹âˆ’1, defining interval IÂ =Â [1,22], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]
    2. linear OA(3¹⁵⁵, 177147, F₃, 22) (dual of [177147, 176992, 23]-code), using an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 177146Â = 3¹¹âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]
    3. linear OA(3⁰, 11, F₃, 0) (dual of [11, 11, 1]-code), using
      - discarding factors / shortening the dual code based on linear OA(3⁰, s, F₃, 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 (144, 167, 16105)-net over F₃	[i]	Net Duplication
2	Digital (145, 168, 16105)-net over F₃	[i]
3	Digital (146, 169, 16105)-net over F₃	[i]
4	Digital (155, 178, 16112)-net over F₃	[i]	(u,Â u+v)-Construction for Nets
5	Digital (156, 179, 16113)-net over F₃	[i]
6	Digital (157, 180, 16115)-net over F₃	[i]