MinT - Information on Result #1187024

Information on Result #1187024

Digital (198, 218, 1677720)-net over F₄, using net defined by OOA based on linear OOA(4²¹⁸, 1677720, F₄, 22, 20) (dual of [(1677720, 22), 36909622, 21]-NRT-code), using

OOA 5-folding and stacking with additional row [i] based on linear OOA(4²¹⁸, 8388601, F₄, 2, 20) (dual of [(8388601, 2), 16776984, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²¹⁸, 8388602, F₄, 2, 20) (dual of [(8388602, 2), 16776986, 21]-NRT-code), using
  - trace code [i] based on linear OOA(16¹⁰⁹, 4194301, F₁₆, 2, 20) (dual of [(4194301, 2), 8388493, 21]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(16¹⁰⁹, 8388602, F₁₆, 20) (dual of [8388602, 8388493, 21]-code), using
      - discarding factors / shortening the dual code based on linear OA(16¹⁰⁹, large, F₁₆, 20) (dual of [large, large−109, 21]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 16⁶âˆ’1, defining interval IÂ =Â [0,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [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 (199, 219, 1677720)-net over F₄	[i]	Net Duplication
2	Digital (200, 220, 1677720)-net over F₄	[i]
3	Digital (201, 221, 1677720)-net over F₄	[i]
4	Digital (202, 222, 1677720)-net over F₄	[i]
5	Digital (203, 223, 1677720)-net over F₄	[i]
6	Digital (204, 224, 1677720)-net over F₄	[i]
7	Digital (205, 225, 1677720)-net over F₄	[i]
8	Digital (206, 226, 1677720)-net over F₄	[i]
9	Digital (207, 227, 1677720)-net over F₄	[i]
10	Digital (208, 228, 1677725)-net over F₄	[i]	(u,Â u+v)-Construction for Nets
11	Digital (209, 229, 1677729)-net over F₄	[i]
12	Digital (210, 230, 1677730)-net over F₄	[i]