MinT - Information on Result #1179322

Information on Result #1179322

Digital (10, 16, 46)-net over F₃, using net defined by OOA based on linear OOA(3¹⁶, 46, F₃, 6, 6) (dual of [(46, 6), 260, 7]-NRT-code), using

appending kth column [i] based on linear OOA(3¹⁶, 46, F₃, 5, 6) (dual of [(46, 5), 214, 7]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3³, 4, F₃, 5, 3) (dual of [(4, 5), 17, 4]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(5;17,3) [i]
  2. linear OOA(3¹³, 42, F₃, 5, 6) (dual of [(42, 5), 197, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (7, 13, 42)-net over F₃, using
      - linear code embedding found in a computer search [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 (124, 136, 1398146)-net over F₃	[i]		(u,Â u+v)-Construction for Nets
2	Digital (146, 158, 1594371)-net over F₃	[i]
3	Digital (184, 196, 5592446)-net over F₃	[i]
4	Digital (124, 137, 1398146)-net over F₃	[i]
5	Digital (159, 172, 1594371)-net over F₃	[i]
6	Digital (199, 212, 5592446)-net over F₃	[i]