MinT - Information on Result #908640

Information on Result #908640

Linear OOA(2¹⁸⁹, 98, F₂, 2, 99) (dual of [(98, 2), 7, 100]-NRT-code), using juxtaposition based on

linear OOA(2³³, 20, F₂, 2, 19) (dual of [(20, 2), 7, 20]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁴, 10, F₂, 2, 9) (dual of [(10, 2), 6, 10]-NRT-code), using
    - extracting embedded OOA [i] based on digital (5, 14, 10)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2¹⁹, 10, F₂, 2, 19) (dual of [(10, 2), 1, 20]-NRT-code), using
    - dual of repetition NRT-code with length 10 [i]
linear OOA(2¹⁴⁹, 78, F₂, 2, 79) (dual of [(78, 2), 7, 80]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁷⁰, 38, F₂, 2, 39) (dual of [(38, 2), 6, 40]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2³¹, 18, F₂, 2, 19) (dual of [(18, 2), 5, 20]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
        an explicit generator matrix by Edel [i]
        linear OOA(2¹⁹, 10, F₂, 2, 19) (dual of [(10, 2), 1, 20]-NRT-code) (see above)
      2. linear OOA(2³⁹, 20, F₂, 2, 39) (dual of [(20, 2), 1, 40]-NRT-code), using
        dual of repetition NRT-code with length 20 [i]
  2. linear OOA(2⁷⁹, 40, F₂, 2, 79) (dual of [(40, 2), 1, 80]-NRT-code), using
    - dual of repetition NRT-code with length 40 [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.