MinT - Information on Result #907591

Information on Result #907591

Linear OOA(2²⁵², 129, F₂, 2, 131) (dual of [(129, 2), 6, 132]-NRT-code), using repeating each code word 3 times based on linear OOA(2⁸⁰, 43, F₂, 2, 43) (dual of [(43, 2), 6, 44]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2⁸⁰, 44, F₂, 2, 43) (dual of [(44, 2), 8, 44]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁷, 22, F₂, 2, 21) (dual of [(22, 2), 7, 22]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹⁶, 11, F₂, 2, 10) (dual of [(11, 2), 6, 11]-NRT-code), using
        extracting embedded OOA [i] based on digital (6, 16, 11)-net over F₂, using
        linear code embedding found in a computer search [i]
      2. linear OOA(2²¹, 11, F₂, 2, 21) (dual of [(11, 2), 1, 22]-NRT-code), using
        dual of repetition NRT-code with length 11 [i]
  2. linear OOA(2⁴³, 22, F₂, 2, 43) (dual of [(22, 2), 1, 44]-NRT-code), using
    - dual of repetition NRT-code with length 22 [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.