MinT - Information on Result #2849066

Information on Result #2849066

Linear OOA(2²⁶⁰, 55, F₂, 5, 179) (dual of [(55, 5), 15, 180]-NRT-code), using strength reduction based on linear OOA(2²⁶⁰, 55, F₂, 5, 181) (dual of [(55, 5), 15, 182]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶⁰, 15, F₂, 5, 47) (dual of [(15, 5), 15, 48]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,27P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁸⁵, 40, F₂, 5, 133) (dual of [(40, 5), 15, 134]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁸⁵, 20, F₂, 5, 66) (dual of [(20, 5), 15, 67]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,33P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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.