MinT - Information on Result #1185590

Information on Result #1185590

Digital (201, 232, 11813)-net over F₃, using net defined by OOA based on linear OOA(3²³², 11813, F₃, 31, 31) (dual of [(11813, 31), 365971, 32]-NRT-code), using

OOA 15-folding and stacking with additional row [i] based on linear OA(3²³², 177196, F₃, 31) (dual of [177196, 176964, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3²³², 177203, F₃, 31) (dual of [177203, 176971, 32]-code), using
  - constructionÂ X applied to C([0,15]) âŠ‚ C([0,12]) [i] based on
    1. linear OA(3²²¹, 177148, F₃, 31) (dual of [177148, 176927, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148Â | 3²²âˆ’1, defining interval IÂ =Â [0,15], and minimum distance dÂ â‰¥ |{−15,−14,…,15}|+1Â =Â 32 (BCH-bound) [i]
    2. linear OA(3¹⁷⁷, 177148, F₃, 25) (dual of [177148, 176971, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148Â | 3²²âˆ’1, defining interval IÂ =Â [0,12], and minimum distance dÂ â‰¥ |{−12,−11,…,12}|+1Â =Â 26 (BCH-bound) [i]
    3. linear OA(3¹¹, 55, F₃, 5) (dual of [55, 44, 6]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹¹, 85, F₃, 5) (dual of [85, 74, 6]-code), using
        codes constructed by inverting constructionÂ Y₁ [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 (202, 232, 11813)-net over F₃	[i]	t-Expansion
2	Digital (202, 233, 11813)-net over F₃	[i]	Net Duplication
3	Digital (203, 234, 11813)-net over F₃	[i]
4	Digital (204, 235, 11813)-net over F₃	[i]
5	Digital (205, 236, 11813)-net over F₃	[i]
6	Digital (201, 231, 11813)-net over F₃	[i]	m-Reduction