MinT - Information on Result #1194890

Information on Result #1194890

Digital (36, 44, 4194300)-net over F₁₆, using net defined by OOA based on linear OOA(16⁴⁴, 4194300, F₁₆, 10, 8) (dual of [(4194300, 10), 41942956, 9]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(16⁴⁴, 8388601, F₁₆, 2, 8) (dual of [(8388601, 2), 16777158, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16⁴⁴, 8388602, F₁₆, 2, 8) (dual of [(8388602, 2), 16777160, 9]-NRT-code), using
  - trace code [i] based on linear OOA(256²², 4194301, F₂₅₆, 2, 8) (dual of [(4194301, 2), 8388580, 9]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(256²², 8388602, F₂₅₆, 8) (dual of [8388602, 8388580, 9]-code), using
      - discarding factors / shortening the dual code based on linear OA(256²², large, F₂₅₆, 8) (dual of [large, large−22, 9]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [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 (37, 45, 4194300)-net over F₁₆	[i]	Net Duplication
2	Digital (80, 88, 8388600)-net over F₄	[i]	Trace Code for Nets
3	Digital (40, 48, 4194317)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
4	Digital (41, 49, 4194324)-net over F₁₆	[i]
5	Digital (42, 50, 4194420)-net over F₁₆	[i]
6	Digital (43, 51, 4194557)-net over F₁₆	[i]
7	Digital (44, 52, 4194814)-net over F₁₆	[i]
8	Digital (46, 54, 4196349)-net over F₁₆	[i]
9	Digital (47, 55, 4226940)-net over F₁₆	[i]
10	Digital (48, 56, 4259580)-net over F₁₆	[i]
11	Digital (50, 58, 4259838)-net over F₁₆	[i]
12	Digital (51, 59, 4259853)-net over F₁₆	[i]
13	Digital (52, 60, 4718590)-net over F₁₆	[i]
14	Digital (53, 61, 4718594)-net over F₁₆	[i]
15	Digital (51, 59, 4260092)-net over F₁₆	[i]
16	(41, 49, 4194333)-net in base 16	[i]
17	(45, 53, 4196316)-net in base 16	[i]
18	(51, 59, 4325373)-net in base 16	[i]