MinT - Information on Result #1205215

Information on Result #1205215

Digital (212, 232, 3355440)-net over F₄, using trace code for nets based on digital (96, 116, 1677720)-net over F₁₆, using

net defined by OOA [i] based on linear OOA(16¹¹⁶, 1677720, F₁₆, 22, 20) (dual of [(1677720, 22), 36909724, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(16¹¹⁶, 8388601, F₁₆, 2, 20) (dual of [(8388601, 2), 16777086, 21]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(16¹¹⁶, 8388602, F₁₆, 2, 20) (dual of [(8388602, 2), 16777088, 21]-NRT-code), using
    - trace code [i] based on linear OOA(256⁵⁸, 4194301, F₂₅₆, 2, 20) (dual of [(4194301, 2), 8388544, 21]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(256⁵⁸, 8388602, F₂₅₆, 20) (dual of [8388602, 8388544, 21]-code), using
        discarding factors / shortening the dual code based on linear OA(256⁵⁸, large, F₂₅₆, 20) (dual of [large, large−58, 21]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’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		This result only	Method
1	Digital (213, 233, 3355440)-net over F₄	[i]		Net Duplication
2	Digital (214, 234, 3355440)-net over F₄	[i]
3	Digital (215, 235, 3355440)-net over F₄	[i]
4	Digital (216, 236, 3355440)-net over F₄	[i]
5	Digital (217, 237, 3355440)-net over F₄	[i]
6	Digital (218, 238, 3355440)-net over F₄	[i]
7	Digital (219, 239, 3355440)-net over F₄	[i]
8	Digital (220, 240, 3355440)-net over F₄	[i]
9	Digital (221, 241, 3355440)-net over F₄	[i]
10	Digital (222, 242, 3355445)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
11	Digital (223, 243, 3355449)-net over F₄	[i]
12	Digital (224, 244, 3355450)-net over F₄	[i]
13	Digital (225, 245, 3355454)-net over F₄	[i]
14	Digital (226, 246, 3355455)-net over F₄	[i]
15	Digital (227, 247, 3355457)-net over F₄	[i]
16	Digital (228, 248, 3355458)-net over F₄	[i]
17	Digital (229, 249, 3355461)-net over F₄	[i]
18	Digital (231, 251, 3355463)-net over F₄	[i]
19	Digital (232, 252, 3355474)-net over F₄	[i]
20	Digital (234, 254, 3355488)-net over F₄	[i]
21	Digital (236, 256, 3355506)-net over F₄	[i]
22	Digital (238, 258, 3355516)-net over F₄	[i]
23	Digital (240, 260, 3355530)-net over F₄	[i]