MinT - Information on Result #2765695

Information on Result #2765695

Linear OOA(2²²¹, 57, F₂, 4, 154) (dual of [(57, 4), 7, 155]-NRT-code), using strength reduction based on linear OOA(2²²¹, 57, F₂, 4, 158) (dual of [(57, 4), 7, 159]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²¹, 7, F₂, 4, 18) (dual of [(7, 4), 7, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,9P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁹³, 50, F₂, 4, 139) (dual of [(50, 4), 7, 140]-NRT-code), using
  - repeating each code word 5 times [i] based on linear OOA(2³³, 10, F₂, 4, 27) (dual of [(10, 4), 7, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,12P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [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.