MinT - Information on Result #1195486

Information on Result #1195486

Digital (96, 116, 1677720)-net over F₁₆, using net defined by OOA 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		Method
1	Digital (97, 117, 1677720)-net over F₁₆	[i]	Net Duplication
2	Digital (98, 118, 1677720)-net over F₁₆	[i]
3	Digital (99, 119, 1677720)-net over F₁₆	[i]
4	Digital (100, 120, 1677720)-net over F₁₆	[i]
5	Digital (212, 232, 3355440)-net over F₄	[i]	Trace Code for Nets
6	Digital (106, 126, 1677737)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
7	Digital (107, 127, 1677744)-net over F₁₆	[i]
8	Digital (108, 128, 1677753)-net over F₁₆	[i]
9	Digital (109, 129, 1677758)-net over F₁₆	[i]
10	Digital (110, 130, 1677765)-net over F₁₆	[i]