MinT - Information on Result #2839177

Information on Result #2839177

Linear OOA(2¹⁰⁹, 23, F₂, 5, 82) (dual of [(23, 5), 6, 83]-NRT-code), using strength reduction based on linear OOA(2¹⁰⁹, 23, F₂, 5, 88) (dual of [(23, 5), 6, 89]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁹, 7, F₂, 5, 26) (dual of [(7, 5), 6, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,8P) [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(2⁷⁴, 16, F₂, 5, 61) (dual of [(16, 5), 6, 62]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2³⁴, 8, F₂, 5, 30) (dual of [(8, 5), 6, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,9P) [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.