MinT - Information on Result #1178795

Information on Result #1178795

Digital (18, 24, 130)-net over F₂, using net defined by OOA based on linear OOA(2²⁴, 130, F₂, 6, 6) (dual of [(130, 6), 756, 7]-NRT-code), using

appending kth column [i] based on linear OOA(2²⁴, 130, F₂, 5, 6) (dual of [(130, 5), 626, 7]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³, 3, F₂, 5, 3) (dual of [(3, 5), 12, 4]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(5;12,2) [i]
  2. linear OOA(2²¹, 127, F₂, 5, 6) (dual of [(127, 5), 614, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (15, 21, 127)-net over F₂, 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 (150, 162, 1398230)-net over F₂	[i]		(u,Â u+v)-Construction for Nets
2	Digital (150, 163, 1398230)-net over F₂	[i]		(u,Â u+v)-Construction for Nets