MinT - Information on Result #2861188

Information on Result #2861188

Linear OOA(2¹⁶⁶, 34, F₂, 5, 129) (dual of [(34, 5), 4, 130]-NRT-code), using 2 step truncation based on linear OOA(2¹⁶⁸, 35, F₂, 5, 131) (dual of [(35, 5), 7, 132]-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(2¹³³, 28, F₂, 5, 105) (dual of [(28, 5), 7, 106]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁶³, 14, F₂, 5, 52) (dual of [(14, 5), 7, 53]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,17P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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.