MinT - Information on Result #1195534

Information on Result #1195534

Digital (101, 122, 1677720)-net over F₁₆, using net defined by OOA based on linear OOA(16¹²², 1677720, F₁₆, 22, 21) (dual of [(1677720, 22), 36909718, 22]-NRT-code), using

OOA 5-folding and stacking with additional row [i] based on linear OOA(16¹²², 8388601, F₁₆, 2, 21) (dual of [(8388601, 2), 16777080, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16¹²², 8388602, F₁₆, 2, 21) (dual of [(8388602, 2), 16777082, 22]-NRT-code), using
  - trace code [i] based on linear OOA(256⁶¹, 4194301, F₂₅₆, 2, 21) (dual of [(4194301, 2), 8388541, 22]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(256⁶¹, 8388602, F₂₅₆, 21) (dual of [8388602, 8388541, 22]-code), using
      - discarding factors / shortening the dual code based on linear OA(256⁶¹, large, F₂₅₆, 21) (dual of [large, large−61, 22]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,20], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [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, 122, 1677720)-net over F₁₆	[i]	t-Expansion
2	Digital (102, 123, 1677720)-net over F₁₆	[i]	Net Duplication
3	Digital (103, 124, 1677720)-net over F₁₆	[i]
4	Digital (104, 125, 1677720)-net over F₁₆	[i]
5	Digital (105, 126, 1677720)-net over F₁₆	[i]
6	Digital (106, 127, 1677720)-net over F₁₆	[i]
7	Digital (107, 128, 1677720)-net over F₁₆	[i]
8	Digital (108, 129, 1677720)-net over F₁₆	[i]
9	Digital (109, 130, 1677720)-net over F₁₆	[i]
10	Digital (101, 121, 1677720)-net over F₁₆	[i]	m-Reduction
11	Digital (223, 244, 3355440)-net over F₄	[i]	Trace Code for Nets