MinT - Information on Result #1205596

Information on Result #1205596

Digital (20, 28, 1540)-net over F₁₆, using trace code for nets based on digital (6, 14, 770)-net over F₂₅₆, using

net defined by OOA [i] based on linear OOA(256¹⁴, 770, F₂₅₆, 12, 8) (dual of [(770, 12), 9226, 9]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(256¹⁴, 771, F₂₅₆, 4, 8) (dual of [(771, 4), 3070, 9]-NRT-code), using
  - generalized (u,Â u+v)-construction [i] based on
    1. linear OOA(256², 257, F₂₅₆, 4, 2) (dual of [(257, 4), 1026, 3]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(4;1026,256) [i]
    2. linear OOA(256⁴, 257, F₂₅₆, 4, 4) (dual of [(257, 4), 1024, 5]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(4;1024,256) [i]
    3. linear OOA(256⁸, 257, F₂₅₆, 4, 8) (dual of [(257, 4), 1020, 9]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(4;1020,256) [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 (104, 120, 2098690)-net over F₁₆	[i]		(u,Â u+v)-Construction for Nets
2	Digital (109, 126, 2098690)-net over F₁₆	[i]		(u,Â u+v)-Construction for Nets