MinT - Information on Result #2864310

Information on Result #2864310

Linear OOA(2³², 58, F₂, 5, 9) (dual of [(58, 5), 258, 10]-NRT-code), using 2¹ times duplication based on linear OOA(2³¹, 58, F₂, 5, 9) (dual of [(58, 5), 259, 10]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁰, 32, F₂, 5, 4) (dual of [(32, 5), 150, 5]-NRT-code), using
  - appending 1 arbitrary column [i] based on 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(2²¹, 29, F₂, 5, 9) (dual of [(29, 5), 124, 10]-NRT-code), using
  - extracting embedded OOA [i] based on digital (12, 21, 29)-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.