MinT - Information on Result #1194604

Information on Result #1194604

Digital (101, 128, 4545)-net over F₉, using net defined by OOA based on linear OOA(9¹²⁸, 4545, F₉, 27, 27) (dual of [(4545, 27), 122587, 28]-NRT-code), using

OOA 13-folding and stacking with additional row [i] based on linear OA(9¹²⁸, 59086, F₉, 27) (dual of [59086, 58958, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(9¹²⁸, 59087, F₉, 27) (dual of [59087, 58959, 28]-code), using
  - constructionÂ X applied to C([0,13]) âŠ‚ C([0,10]) [i] based on
    1. linear OA(9¹²¹, 59050, F₉, 27) (dual of [59050, 58929, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050Â | 9¹⁰âˆ’1, defining interval IÂ =Â [0,13], and minimum distance dÂ â‰¥ |{−13,−12,…,13}|+1Â =Â 28 (BCH-bound) [i]
    2. linear OA(9⁹¹, 59050, F₉, 21) (dual of [59050, 58959, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050Â | 9¹⁰âˆ’1, defining interval IÂ =Â [0,10], and minimum distance dÂ â‰¥ |{−10,−9,…,10}|+1Â =Â 22 (BCH-bound) [i]
    3. linear OA(9⁷, 37, F₉, 5) (dual of [37, 30, 6]-code), using
      - discarding factors / shortening the dual code based on linear OA(9⁷, 73, F₉, 5) (dual of [73, 66, 6]-code), using
        a code by Danev and Olsson [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 (102, 128, 4545)-net over F₉	[i]	t-Expansion
2	Digital (102, 129, 4545)-net over F₉	[i]	Net Duplication
3	Digital (103, 130, 4545)-net over F₉	[i]
4	Digital (104, 131, 4545)-net over F₉	[i]
5	Digital (105, 132, 4545)-net over F₉	[i]
6	Digital (101, 127, 4545)-net over F₉	[i]	m-Reduction