MinT - Information on Result #1203092

Information on Result #1203092

Digital (5, 12, 386)-net over F₁₂₈, using net defined by OOA based on linear OOA(128¹², 386, F₁₂₈, 9, 7) (dual of [(386, 9), 3462, 8]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(128¹², 387, F₁₂₈, 3, 7) (dual of [(387, 3), 1149, 8]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(128², 129, F₁₂₈, 3, 2) (dual of [(129, 3), 385, 3]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;385,128) [i]
  2. linear OOA(128³, 129, F₁₂₈, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;384,128) [i]
  3. linear OOA(128⁷, 129, F₁₂₈, 3, 7) (dual of [(129, 3), 380, 8]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;380,128) [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 (25, 39, 2726)-net over F₁₂₈	[i]	(u,Â u+v)-Construction for Nets
2	Digital (38, 52, 299979)-net over F₁₂₈	[i]
3	Digital (51, 65, 1198757)-net over F₁₂₈	[i]
4	Digital (26, 41, 2726)-net over F₁₂₈	[i]
5	Digital (40, 55, 299979)-net over F₁₂₈	[i]
6	Digital (54, 69, 1198757)-net over F₁₂₈	[i]