MinT - Information on Result #2760570

Information on Result #2760570

Linear OOA(2¹³², 35, F₂, 4, 91) (dual of [(35, 4), 8, 92]-NRT-code), using strength reduction based on linear OOA(2¹³², 35, F₂, 4, 92) (dual of [(35, 4), 8, 93]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁴, 8, F₂, 4, 20) (dual of [(8, 4), 8, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,11P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁰⁰, 27, F₂, 4, 71) (dual of [(27, 4), 8, 72]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2²⁸, 9, F₂, 4, 23) (dual of [(9, 4), 8, 24]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,12P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, 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.