MinT - Information on Result #2840466

Information on Result #2840466

Linear OOA(2¹³⁸, 29, F₂, 5, 105) (dual of [(29, 5), 7, 106]-NRT-code), using strength reduction based on linear OOA(2¹³⁸, 29, F₂, 5, 109) (dual of [(29, 5), 7, 110]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁸, 9, F₂, 5, 33) (dual of [(9, 5), 7, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,11P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁹³, 20, F₂, 5, 75) (dual of [(20, 5), 7, 76]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁴³, 10, F₂, 5, 37) (dual of [(10, 5), 7, 38]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;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.