MinT - Information on Result #1183828

Information on Result #1183828

Digital (96, 109, 265725)-net over F₃, using net defined by OOA based on linear OOA(3¹⁰⁹, 265725, F₃, 13, 13) (dual of [(265725, 13), 3454316, 14]-NRT-code), using

OOA 6-folding and stacking with additional row [i] based on linear OA(3¹⁰⁹, 1594351, F₃, 13) (dual of [1594351, 1594242, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3¹⁰⁹, 1594353, F₃, 13) (dual of [1594353, 1594244, 14]-code), using
  - constructionÂ X applied to C_e(12) âŠ‚ C_e(9) [i] based on
    1. linear OA(3¹⁰⁵, 1594323, F₃, 13) (dual of [1594323, 1594218, 14]-code), using an extension C_e(12) of the primitive narrow-sense BCH-code C(I) with length 1594322Â = 3¹³âˆ’1, defining interval IÂ =Â [1,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]
    2. linear OA(3⁷⁹, 1594323, F₃, 10) (dual of [1594323, 1594244, 11]-code), using an extension C_e(9) of the primitive narrow-sense BCH-code C(I) with length 1594322Â = 3¹³âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]
    3. linear OA(3⁴, 30, F₃, 2) (dual of [30, 26, 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 (97, 109, 265725)-net over F₃	[i]	t-Expansion
2	Digital (97, 110, 265725)-net over F₃	[i]	Net Duplication
3	Digital (98, 111, 265725)-net over F₃	[i]	Net Duplication
4	Digital (96, 108, 265725)-net over F₃	[i]	m-Reduction