MinT - Information on Result #2759578

Information on Result #2759578

Linear OOA(2¹¹⁰, 29, F₂, 4, 77) (dual of [(29, 4), 6, 78]-NRT-code), using strength reduction based on linear OOA(2¹¹⁰, 29, F₂, 4, 83) (dual of [(29, 4), 6, 84]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁰, 9, F₂, 4, 25) (dual of [(9, 4), 6, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,10P) [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(2⁷⁴, 20, F₂, 4, 57) (dual of [(20, 4), 6, 58]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2³⁴, 10, F₂, 4, 28) (dual of [(10, 4), 6, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,11P) [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.