MinT - Information on Result #907583

Information on Result #907583

Linear OOA(2²⁴², 124, F₂, 2, 127) (dual of [(124, 2), 6, 128]-NRT-code), using repeating each code word 4 times based on linear OOA(2⁵⁶, 31, F₂, 2, 31) (dual of [(31, 2), 6, 32]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2⁵⁶, 32, F₂, 2, 31) (dual of [(32, 2), 8, 32]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁵, 16, F₂, 2, 15) (dual of [(16, 2), 7, 16]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹⁰, 8, F₂, 2, 7) (dual of [(8, 2), 6, 8]-NRT-code), using
        an explicit generator matrix by Edel [i]
      2. linear OOA(2¹⁵, 8, F₂, 2, 15) (dual of [(8, 2), 1, 16]-NRT-code), using
        dual of repetition NRT-code with length 8 [i]
  2. linear OOA(2³¹, 16, F₂, 2, 31) (dual of [(16, 2), 1, 32]-NRT-code), using
    - dual of repetition NRT-code with length 16 [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.