MinT - Information on Result #1185240

Information on Result #1185240

Digital (156, 181, 14764)-net over F₃, using net defined by OOA based on linear OOA(3¹⁸¹, 14764, F₃, 25, 25) (dual of [(14764, 25), 368919, 26]-NRT-code), using

OOA 12-folding and stacking with additional row [i] based on linear OA(3¹⁸¹, 177169, F₃, 25) (dual of [177169, 176988, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3¹⁸¹, 177173, F₃, 25) (dual of [177173, 176992, 26]-code), using
  - constructionÂ X applied to C_e(24) âŠ‚ C_e(21) [i] based on
    1. linear OA(3¹⁷⁷, 177147, F₃, 25) (dual of [177147, 176970, 26]-code), using an extension C_e(24) of the primitive narrow-sense BCH-code C(I) with length 177146Â = 3¹¹âˆ’1, defining interval IÂ =Â [1,24], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 25 [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(3⁴, 26, F₃, 2) (dual of [26, 22, 3]-code), using
      - discarding factors / shortening the dual code based on linear OA(3⁴, 40, F₃, 2) (dual of [40, 36, 3]-code), using
        Hamming code H(4,3) [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 (157, 181, 14764)-net over F₃	[i]	t-Expansion
2	Digital (157, 182, 14764)-net over F₃	[i]	Net Duplication
3	Digital (158, 183, 14764)-net over F₃	[i]
4	Digital (159, 184, 14764)-net over F₃	[i]
5	Digital (156, 180, 14764)-net over F₃	[i]	m-Reduction