MinT - Information on Result #1204262

Information on Result #1204262

Digital (6, 14, 770)-net over F₂₅₆, using net defined by OOA 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		Method
1	Digital (20, 28, 1540)-net over F₁₆	[i]	Trace Code for Nets
2	Digital (29, 45, 8962)-net over F₂₅₆	[i]	(u,Â u+v)-Construction for Nets
3	Digital (44, 60, 1049345)-net over F₂₅₆	[i]
4	Digital (30, 47, 8962)-net over F₂₅₆	[i]
5	Digital (46, 63, 1049345)-net over F₂₅₆	[i]