MinT - Information on Result #1185264

Information on Result #1185264

Digital (188, 213, 132862)-net over F₃, using net defined by OOA based on linear OOA(3²¹³, 132862, F₃, 25, 25) (dual of [(132862, 25), 3321337, 26]-NRT-code), using

OOA 12-folding and stacking with additional row [i] based on linear OA(3²¹³, 1594345, F₃, 25) (dual of [1594345, 1594132, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3²¹³, 1594353, F₃, 25) (dual of [1594353, 1594140, 26]-code), using
  - constructionÂ X applied to C_e(24) âŠ‚ C_e(21) [i] based on
    1. linear OA(3²⁰⁹, 1594323, F₃, 25) (dual of [1594323, 1594114, 26]-code), using an extension C_e(24) of the primitive narrow-sense BCH-code C(I) with length 1594322Â = 3¹³âˆ’1, defining interval IÂ =Â [1,24], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 25 [i]
    2. linear OA(3¹⁸³, 1594323, F₃, 22) (dual of [1594323, 1594140, 23]-code), using an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 1594322Â = 3¹³âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [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 (189, 213, 132862)-net over F₃	[i]	t-Expansion
2	Digital (189, 214, 132862)-net over F₃	[i]	Net Duplication
3	Digital (190, 215, 132862)-net over F₃	[i]	Net Duplication
4	Digital (188, 212, 132862)-net over F₃	[i]	m-Reduction