MinT - Information on Result #1179708

Information on Result #1179708

Digital (6, 11, 24385)-net over F₁₂₈, using net defined by OOA based on linear OOA(128¹¹, 24385, F₁₂₈, 5, 5) (dual of [(24385, 5), 121914, 6]-NRT-code), using

appending kth column [i] based on linear OOA(128¹¹, 24385, F₁₂₈, 4, 5) (dual of [(24385, 4), 97529, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(128¹¹, 48771, F₁₂₈, 5) (dual of [48771, 48760, 6]-code), using
  - (u,Â uâˆ’v,Â u+v+w)-construction [i] based on
    1. linear OA(128¹, 16257, F₁₂₈, 1) (dual of [16257, 16256, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(128¹, s, F₁₂₈, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [i]
    2. linear OA(128³, 16257, F₁₂₈, 2) (dual of [16257, 16254, 3]-code), using
      - discarding factors / shortening the dual code based on linear OA(128³, 16513, F₁₂₈, 2) (dual of [16513, 16510, 3]-code), using
        Hamming code H(3,128) [i]
    3. linear OA(128⁷, 16257, F₁₂₈, 5) (dual of [16257, 16250, 6]-code), using
      - a code by Danev and Olsson [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 (38, 48, 1702105)-net over F₁₂₈	[i]	(u,Â u+v)-Construction for Nets
2	Digital (41, 52, 1702105)-net over F₁₂₈	[i]	(u,Â u+v)-Construction for Nets
3	Digital (50, 61, 3516325)-net over F₁₂₈	[i]	Generalized (u,Â u+v)-Construction for Nets
4	Digital (47, 57, 3516326)-net over F₁₂₈	[i]	Generalized (u,Â u+v)-Construction for Nets