MinT - Information on Result #1185502

Information on Result #1185502

Digital (181, 210, 12654)-net over F₃, using net defined by OOA based on linear OOA(3²¹⁰, 12654, F₃, 29, 29) (dual of [(12654, 29), 366756, 30]-NRT-code), using

OOA 14-folding and stacking with additional row [i] based on linear OA(3²¹⁰, 177157, F₃, 29) (dual of [177157, 176947, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(3²¹⁰, 177158, F₃, 29) (dual of [177158, 176948, 30]-code), using
  - constructionÂ X applied to C_e(28) âŠ‚ C_e(27) [i] based on
    1. linear OA(3²¹⁰, 177147, F₃, 29) (dual of [177147, 176937, 30]-code), using an extension C_e(28) of the primitive narrow-sense BCH-code C(I) with length 177146Â = 3¹¹âˆ’1, defining interval IÂ =Â [1,28], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 29 [i]
    2. linear OA(3¹⁹⁹, 177147, F₃, 28) (dual of [177147, 176948, 29]-code), using an extension C_e(27) of the primitive narrow-sense BCH-code C(I) with length 177146Â = 3¹¹âˆ’1, defining interval IÂ =Â [1,27], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 28 [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 (182, 211, 12654)-net over F₃	[i]	Net Duplication
2	Digital (183, 212, 12654)-net over F₃	[i]
3	Digital (184, 213, 12654)-net over F₃	[i]
4	Digital (195, 224, 12658)-net over F₃	[i]	(u,Â u+v)-Construction for Nets
5	Digital (196, 225, 12661)-net over F₃	[i]
6	Digital (197, 226, 12662)-net over F₃	[i]
7	Digital (198, 227, 12664)-net over F₃	[i]
8	Digital (199, 228, 12666)-net over F₃	[i]