MinT - Information on Result #1051184

Information on Result #1051184

Linear OOA(2³⁰, 20, F₂, 4, 10) (dual of [(20, 4), 50, 11]-NRT-code), using OOA 2-folding based on linear OOA(2³⁰, 40, F₂, 2, 10) (dual of [(40, 2), 50, 11]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2³⁰, 41, F₂, 2, 10) (dual of [(41, 2), 52, 11]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁰, 20, F₂, 2, 5) (dual of [(20, 2), 30, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (5, 10, 20)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2²⁰, 21, F₂, 2, 10) (dual of [(21, 2), 22, 11]-NRT-code), using
    - extracting embedded OOA [i] based on digital (10, 20, 21)-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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.