MinT - Information on Result #2840939

Information on Result #2840939

Linear OOA(2¹⁴⁸, 31, F₂, 5, 111) (dual of [(31, 5), 7, 112]-NRT-code), using strength reduction based on linear OOA(2¹⁴⁸, 31, F₂, 5, 115) (dual of [(31, 5), 7, 116]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁸, 7, F₂, 5, 25) (dual of [(7, 5), 7, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;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(2¹¹³, 24, F₂, 5, 89) (dual of [(24, 5), 7, 90]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2³³, 8, F₂, 5, 29) (dual of [(8, 5), 7, 30]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,10P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, 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.