MinT - Information on Result #2947293

Information on Result #2947293

Linear OOA(2¹⁵⁰, 22, F₂, 7, 127) (dual of [(22, 7), 4, 128]-NRT-code), using strength reduction based on linear OOA(2¹⁵⁰, 22, F₂, 7, 134) (dual of [(22, 7), 4, 135]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁴, 4, F₂, 7, 23) (dual of [(4, 7), 4, 24]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2²⁴, 5, F₂, 7, 23) (dual of [(5, 7), 11, 24]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(7;F,11P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹²², 18, F₂, 7, 110) (dual of [(18, 7), 4, 111]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2³⁸, 6, F₂, 7, 36) (dual of [(6, 7), 4, 37]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(7;F,5P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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.