MinT - Information on Result #1051548

Information on Result #1051548

Linear OOA(2³⁰, 11, F₂, 4, 14) (dual of [(11, 4), 14, 15]-NRT-code), using OOA 2-folding based on linear OOA(2³⁰, 22, F₂, 2, 14) (dual of [(22, 2), 14, 15]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹¹, 11, F₂, 2, 7) (dual of [(11, 2), 11, 8]-NRT-code), using
  - extracting embedded OOA [i] based on digital (4, 11, 11)-net over F₂, using
    - a shift-net [i]
2. linear OOA(2¹⁹, 11, F₂, 2, 14) (dual of [(11, 2), 3, 15]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [i]
    2. linear OOA(2¹³, 8, F₂, 2, 10) (dual of [(8, 2), 3, 11]-NRT-code), using
      - an explicit generator matrix by Edel [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.