MinT - Information on Result #1185680

Information on Result #1185680

Digital (205, 242, 3281)-net over F₃, using net defined by OOA based on linear OOA(3²⁴², 3281, F₃, 37, 37) (dual of [(3281, 37), 121155, 38]-NRT-code), using

OOA 18-folding and stacking with additional row [i] based on linear OA(3²⁴², 59059, F₃, 37) (dual of [59059, 58817, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3²⁴², 59060, F₃, 37) (dual of [59060, 58818, 38]-code), using
  - constructionÂ X applied to C_e(36) âŠ‚ C_e(34) [i] based on
    1. linear OA(3²⁴¹, 59049, F₃, 37) (dual of [59049, 58808, 38]-code), using an extension C_e(36) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 3¹⁰âˆ’1, defining interval IÂ =Â [1,36], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 37 [i]
    2. linear OA(3²³¹, 59049, F₃, 35) (dual of [59049, 58818, 36]-code), using an extension C_e(34) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 3¹⁰âˆ’1, defining interval IÂ =Â [1,34], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 35 [i]
    3. linear OA(3¹, 11, F₃, 1) (dual of [11, 10, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [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 (206, 242, 3281)-net over F₃	[i]	t-Expansion
2	Digital (206, 243, 3281)-net over F₃	[i]	Net Duplication
3	Digital (207, 244, 3281)-net over F₃	[i]
4	Digital (208, 245, 3281)-net over F₃	[i]
5	Digital (209, 246, 3281)-net over F₃	[i]
6	Digital (210, 247, 3281)-net over F₃	[i]