MinT - Information on Result #1130190

Information on Result #1130190

Linear OOA(2³⁰, 51, F₂, 6, 9) (dual of [(51, 6), 276, 10]-NRT-code), using OOA stacking with additional row based on linear OOA(2³⁰, 52, F₂, 4, 9) (dual of [(52, 4), 178, 10]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁰, 32, F₂, 4, 4) (dual of [(32, 4), 118, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁰, 32, F₂, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (6, 10, 32)-net over F₂, using
      - linear code embedding found in a computer search [i]
2. linear OOA(2²⁰, 26, F₂, 4, 9) (dual of [(26, 4), 84, 10]-NRT-code), using
  - extracting embedded OOA [i] based on digital (11, 20, 26)-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.